document_title: List of prime numbers

question_text: what is the smallest prime number that is greater than 30

question_tokens: what is the smallest prime number that is greater than 30

text: List of prime numbers

text: The first 1000 prime numbers[edit]

text: The following table lists the first 1000 primes, with 20 columns of consecutive primes in each of the 50 rows.[1]

text:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

1–20

2
3
5
7
11
13
17
19
23
29
31
37
41
43
47
53
59
61
67
71

21–40

73
79
83
89
97
101
103
107
109
113
127
131
137
139
149
151
157
163
167
173

41–60

179
181
191
193
197
199
211
223
227
229
233
239
241
251
257
263
269
271
277
281

61–80

283
293
307
311
313
317
331
337
347
349
353
359
367
373
379
383
389
397
401
409

81–100

419
421
431
433
439
443
449
457
461
463
467
479
487
491
499
503
509
521
523
541

101–120

547
557
563
569
571
577
587
593
599
601
607
613
617
619
631
641
643
647

653
659

121–140

661
673
677
683
691
701
709
719
727
733
739
743
751
757
761
769
773
787
797
809

141–160

811
821
823
827
829
839
853
857
859
863
877
881
883
887
907
911
919
929
937
941

161–180

947
953
967
971
977
983
991
997
1009
1013
1019
1021
1031
1033
1039
1049
1051
1061
1063
1069

181–200

1087
1091
1093
1097
1103
1109
1117
1123
1129
1151
1153
1163
1171
1181
1187
1193
1201
1213
1217
1223

201–220

1229
1231
1237
1249
1259
1277
1279
1283
1289
1291
1297
1301
1303
1307
1319
1321
1327
1361
1367
1373

221–240

1381
1399
1409
1423
1427
1429
1433
1439
1447
1451
1453
1459
1471
1481
1483
1487
1489
1493
1499
1511

241–260

1523
1531
1543
1549
1553
1559
1567
1571
1579
1583
1597
1601
1607
1609
1613
1619
1621
1627
1637
1657

261–280

1663
1667
1669
1693
1697
1699
1709
1721
1723
1733
1741
1747
1753
1759
1777
1783
1787
1789
1801
1811

281–300

1823
1831
1847
1861
1867
1871
1873
1877
1879
1889
1901
1907
1913
1931
1933
1949
1951
1973
1979
1987

301–320

1993
1997
1999
2003
2011
2017
2027
2029
2039
2053
2063
2069
2081
2083
2087
2089
2099
2111
2113
2129

321–340

2131
2137
2141
2143
2153
2161
2179
2203
2207
2213
2221
2237
2239
2243
2251
2267
2269
2273
2281
2287

341–360

2293
2297
2309
2311
2333
2339
2341
2347
2351
2357
2371
2377
2381
2383
2389
2393
2399
2411
2417
2423

361–380

2437
2441
2447
2459
2467
2473
2477
2503
2521
2531
2539
2543
2549
2551
2557
2579
2591
2593
2609
2617

381–400

2621
2633
2647
2657
2659
2663
2671
2677
2683
2687
2689
2693
2699
2707
2711
2713
2719
2729
2731
2741

401–420

2749
2753
2767
2777
2789
2791
2797
2801
2803
2819
2833
2837
2843
2851
2857
2861
2879
2887
2897
2903

421–440

2909
2917
2927
2939
2953
2957
2963
2969
2971
2999
3001
3011
3019
3023
3037
3041
3049
3061
3067
3079

441–460

3083
3089
3109
3119
3121
3137
3163
3167
3169
3181
3187
3191
3203
3209
3217
3221
3229
3251
3253
3257

461–480

3259
3271
3299
3301
3307
3313
3319
3323
3329
3331
3343
3347
3359
3361
3371
3373
3389
3391
3407
3413

481–500

3433
3449
3457
3461
3463
3467
3469
3491
3499
3511
3517
3527
3529
3533
3539
3541
3547
3557
3559
3571

501–520

3581
3583
3593
3607
3613
3617
3623
3631
3637
3643
3659
3671
3673
3677
3691
3697
3701
3709
3719
3727

521–540

3733
3739
3761
3767
3769
3779
3793
3797
3803
3821
3823
3833
3847
3851
3853
3863
3877
3881
3889
3907

541–560

3911
3917
3919
3923
3929
3931
3943
3947
3967
3989
4001
4003
4007
4013
4019
4021
4027
4049
4051
4057

561–580

4073
4079
4091
4093
4099
4111
4127
4129
4133
4139
4153
4157
4159
4177
4201
4211
4217
4219
4229
4231

581–600

4241
4243
4253
4259
4261
4271
4273
4283
4289
4297
4327
4337
4339
4349
4357
4363
4373
4391
4397
4409

601–620

4421
4423
4441
4447
4451
4457
4463
4481
4483
4493
4507
4513
4517
4519
4523
4547
4549
4561
4567
4583

621–640

4591
4597
4603
4621
4637
4639
4643
4649
4651
4657
4663
4673
4679
4691
4703
4721
4723
4729
4733
4751

641–660

4759
4783
4787
4789
4793
4799
4801
4813
4817
4831
4861
4871
4877
4889
4903
4909
4919
4931
4933
4937

661–680

4943
4951
4957
4967
4969
4973
4987
4993
4999
5003
5009
5011
5021
5023
5039
5051
5059
5077
5081
5087

681–700

5099
5101
5107
5113
5119
5147
5153
5167
5171
5179
5189
5197
5209
5227
5231
5233
5237
5261
5273
5279

701–720

5281
5297
5303
5309
5323
5333
5347
5351
5381
5387
5393
5399
5407
5413
5417
5419
5431
5437
5441
5443

721–740

5449
5471
5477
5479
5483
5501
5503
5507
5519
5521
5527
5531
5557
5563
5569
5573
5581
5591
5623
5639

741–760

5641
5647
5651
5653
5657
5659
5669
5683
5689
5693
5701
5711
5717
5737
5741
5743
5749
5779
5783
5791

761–780

5801
5807
5813
5821
5827
5839
5843
5849
5851
5857
5861
5867
5869
5879
5881
5897
5903
5923
5927
5939

781–800

5953
5981
5987
6007
6011
6029
6037
6043
6047
6053
6067
6073
6079
6089
6091
6101
6113
6121
6131
6133

801–820

6143
6151
6163
6173
6197
6199
6203
6211
6217
6221
6229
6247
6257
6263
6269
6271
6277
6287
6299
6301

821–840

6311
6317
6323
6329
6337
6343
6353
6359
6361
6367
6373
6379
6389
6397
6421
6427
6449
6451
6469
6473

841–860

6481
6491
6521
6529
6547
6551
6553
6563
6569
6571
6577
6581
6599
6607
6619
6637
6653
6659
6661
6673

861–880

6679
6689
6691
6701
6703
6709
6719
6733
6737
6761
6763
6779
6781
6791
6793
6803
6823
6827
6829
6833

881–900

6841
6857
6863
6869
6871
6883
6899
6907
6911
6917
6947
6949
6959
6961
6967
6971
6977
6983
6991
6997

901–920

7001
7013
7019
7027
7039
7043
7057
7069
7079
7103
7109
7121
7127
7129
7151
7159
7177
7187
7193
7207

921–940

7211
7213
7219
7229
7237
7243
7247
7253
7283
7297
7307
7309
7321
7331
7333
7349
7351
7369
7393
7411

941–960

7417
7433
7451
7457
7459
7477
7481
7487
7489
7499
7507
7517
7523
7529
7537
7541
7547
7549
7559
7561

961–980

7573
7577
7583
7589
7591
7603
7607
7621
7639
7643
7649
7669
7673
7681
7687
7691
7699
7703
7717
7723

981–1000

7727
7741
7753
7757
7759
7789
7793
7817
7823
7829
7841
7853
7867
7873
7877
7879
7883
7901
7907
7919

text: (sequence A000040 in the OEIS).

text: The Goldbach conjecture verification project reports that it has computed all primes below 4×1018.[2] That means 95,676,260,903,887,607 primes[3] (nearly 1017), but they were not stored. There are known formulae to evaluate the prime-counting function (the number of primes below a given value) faster than computing the primes. This has been used to compute that there are 1,925,320,391,606,803,968,923 primes (roughly 2×1021) below 1023. A different computation found that there are 18,435,599,767,349,200,867,866 primes (roughly 2×1022) below 1024, if the Riemann hypothesis is true.[4]

text: Lists of primes by type[edit]

text: Below are listed the first prime numbers of many named forms and types. More details are in the article for the name. n is a natural number (including 0) in the definitions.

text: Bell primes[edit]

text: Primes that are the number of partitions of a set with n members.

text:
2, 5, 877, 27644437, 35742549198872617291353508656626642567, 359334085968622831041960188598043661065388726959079837.
The next term has 6,539 digits. ( A051131)

text: Carol primes[edit]

text: Of the form (2n−1)2 − 2.

text: 7, 47, 223, 3967, 16127, 1046527, 16769023, 1073676287, 68718952447, 274876858367, 4398042316799, 1125899839733759, 18014398241046527, 1298074214633706835075030044377087 ( A091516)

text: Centered triangular primes[edit]

text: Of the form (3n2 + 3n + 2) / 2.

text: 19, 31, 109, 199, 409, 571, 631, 829, 1489, 1999, 2341, 2971, 3529, 4621, 4789, 7039, 7669, 8779, 9721, 10459, 10711, 13681, 14851, 16069, 16381, 17659, 20011, 20359, 23251, 25939, 27541, 29191, 29611, 31321, 34429, 36739, 40099, 40591, 42589 ( A125602)

text: Chen primes[edit]

text: Where p is prime and p+2 is either a prime or semiprime.

text: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, 67, 71, 83, 89, 101, 107, 109, 113, 127, 131, 137, 139, 149, 157, 167, 179, 181, 191, 197, 199, 211, 227, 233, 239, 251, 257, 263, 269, 281, 293, 307, 311, 317, 337, 347, 353, 359, 379, 389, 401, 409 ( A109611)

text: Circular primes[edit]

text: A circular prime number is a number that remains prime on any cyclic rotation of its digits (in base 10).

text: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 197, 199, 311, 337, 373, 719, 733, 919, 971, 991, 1193, 1931, 3119, 3779, 7793, 7937, 9311, 9377, 11939, 19391, 19937, 37199, 39119, 71993, 91193, 93719, 93911, 99371, 193939, 199933, 319993, 331999, 391939, 393919, 919393, 933199, 939193, 939391, 993319, 999331 ( A068652)

text: Some sources only list the smallest prime in each cycle, for example, listing 13, but omitting 31 (OEIS really calls this sequence circular primes, but not the above sequence):

text: 2, 3, 5, 7, 11, 13, 17, 37, 79, 113, 197, 199, 337, 1193, 3779, 11939, 19937, 193939, 199933, 1111111111111111111, 11111111111111111111111 ( A016114)

text: All repunit primes are circular.

text: Cousin primes[edit]

text: Where (p, p + 4) are both prime.

text: (3, 7), (7, 11), (13, 17), (19, 23), (37, 41), (43, 47), (67, 71), (79, 83), (97, 101), (103, 107), (109, 113), (127, 131), (163, 167), (193, 197), (223, 227), (229, 233), (277, 281) ( A023200,  A046132)

text: Cuban primes[edit]

text:
Of the form

x

3

−

y

3

x
−
y

{\displaystyle {\tfrac {x^{3}-y^{3}}{x-y}}}

 where x = y + 1.

text: 7, 19, 37, 61, 127, 271, 331, 397, 547, 631, 919, 1657, 1801, 1951, 2269, 2437, 2791, 3169, 3571, 4219, 4447, 5167, 5419, 6211, 7057, 7351, 8269, 9241, 10267, 11719, 12097, 13267, 13669, 16651, 19441, 19927, 22447, 23497, 24571, 25117, 26227, 27361, 33391, 35317 ( A002407)

text:
Of the form

x

3

−

y

3

x
−
y

{\displaystyle {\tfrac {x^{3}-y^{3}}{x-y}}}

 where x = y + 2.

text: 13, 109, 193, 433, 769, 1201, 1453, 2029, 3469, 3889, 4801, 10093, 12289, 13873, 18253, 20173, 21169, 22189, 28813, 37633, 43201, 47629, 60493, 63949, 65713, 69313, 73009, 76801, 84673, 106033, 108301, 112909, 115249 ( A002648)

text: Cullen primes[edit]

text: Of the form n×2n + 1.

text: 3, 393050634124102232869567034555427371542904833 ( A050920)

text: Dihedral primes[edit]

text: Primes that remain prime when read upside down or mirrored in a seven-segment display.

text:
2, 5, 11, 101, 181, 1181, 1811, 18181, 108881, 110881, 118081, 120121,
121021, 121151, 150151, 151051, 151121, 180181, 180811, 181081 ( A134996)

text: Eisenstein primes without imaginary part[edit]

text: Eisenstein integers that are irreducible and real numbers (primes of the form 3n − 1).

text: 2, 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, 101, 107, 113, 131, 137, 149, 167, 173, 179, 191, 197, 227, 233, 239, 251, 257, 263, 269, 281, 293, 311, 317, 347, 353, 359, 383, 389, 401 ( A003627)

text: Emirps[edit]

text: Primes that become a different prime when their decimal digits are reversed. The name "emirp" is obtained by reversing the word "prime".

text: 13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, 311, 337, 347, 359, 389, 701, 709, 733, 739, 743, 751, 761, 769, 907, 937, 941, 953, 967, 971, 983, 991 ( A006567)

text: Euclid primes[edit]

text: Of the form pn# + 1 (a subset of primorial primes).

text: 3, 7, 31, 211, 2311, 200560490131 ( A018239[5])

text: Euler irregular primes[edit]

text:
A prime

p

{\displaystyle p}

 that divides Euler number

E

2
n

{\displaystyle E_{2n}}

 for some

0
≤
2
n
≤
p
−
3

{\displaystyle 0\leq 2n\leq p-3}

.

text: 19, 31, 43, 47, 61, 67, 71, 79, 101, 137, 139, 149, 193, 223, 241, 251, 263, 277, 307, 311, 349, 353, 359, 373, 379, 419, 433, 461, 463, 491, 509, 541, 563, 571, 577, 587 ( A120337)

text: Euler (p, p − 3) irregular primes[edit]

text:
Primes

p

{\displaystyle p}

 such that

(
p
,
p
−
3
)

{\displaystyle (p,p-3)}

 is an Euler irregular pair.

text: 149, 241, 2946901 ( A198245)

text: Factorial primes[edit]

text: Of the form n! − 1 or n! + 1.

text: 2, 3, 5, 7, 23, 719, 5039, 39916801, 479001599, 87178291199, 10888869450418352160768000001, 265252859812191058636308479999999, 263130836933693530167218012159999999, 8683317618811886495518194401279999999 ( A088054)

text: Fermat primes[edit]

text: Of the form 22n + 1.

text: 3, 5, 17, 257, 65537 ( A019434)

text: As of  April 2017[update] these are the only known Fermat primes, and conjecturally the only Fermat primes.

text: Generalized Fermat primes[edit]

text: Of the form a2n + 1 for fixed integer a.

text: a = 2: 3, 5, 17, 257, 65537 ( A019434)

text: a = 4: 5, 17, 257, 65537

text: a = 6: 7, 37, 1297

text: a = 8: (does not exist)

text: a = 10: 11, 101

text: a = 12: 13

text: a = 14: 197

text: a = 16: 17, 257, 65537

text: a = 18: 19

text: a = 20: 401, 160001

text: a = 22: 23

text: a = 24: 577, 331777

text: As of  April 2017[update] these are the only known generalized Fermat primes for a ≤ 24.

text: Fibonacci primes[edit]

text:
Primes in the Fibonacci sequence F0 = 0, F1 = 1,
Fn = Fn−1 + Fn−2.

text: 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073, 99194853094755497, 1066340417491710595814572169, 19134702400093278081449423917 ( A005478)

text: Fortunate primes[edit]

text: Fortunate numbers that are prime (it has been conjectured they all are).

text: 3, 5, 7, 13, 17, 19, 23, 37, 47, 59, 61, 67, 71, 79, 89, 101, 103, 107, 109, 127, 151, 157, 163, 167, 191, 197, 199, 223, 229, 233, 239, 271, 277, 283, 293, 307, 311, 313, 331, 353, 373, 379, 383, 397 ( A046066)

text: Gaussian primes[edit]

text: Prime elements of the Gaussian integers; equivalently, primes of the form 4n + 3.

text: 3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, 103, 107, 127, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251, 263, 271, 283, 307, 311, 331, 347, 359, 367, 379, 383, 419, 431, 439, 443, 463, 467, 479, 487, 491, 499, 503 ( A002145)

text: Good primes[edit]

text: Primes pn for which pn2 > pn−i pn+i for all 1 ≤ i ≤ n−1, where pn is the nth prime.

text: 5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149, 179, 191, 223, 227, 251, 257, 269, 307 ( A028388)

text: Happy primes[edit]

text: Happy numbers that are prime.

text: 7, 13, 19, 23, 31, 79, 97, 103, 109, 139, 167, 193, 239, 263, 293, 313, 331, 367, 379, 383, 397, 409, 487, 563, 617, 653, 673, 683, 709, 739, 761, 863, 881, 907, 937, 1009, 1033, 1039, 1093 ( A035497)

text: Harmonic primes[edit]

text: Primes p for which there are no solutions to Hk ≡ 0 (mod p) and Hk ≡ −ωp (mod p) for 1 ≤ k ≤ p−2, where Hk denotes the k-th harmonic number and ωp denotes the Wolstenholme quotient.[6]

text: 5, 13, 17, 23, 41, 67, 73, 79, 107, 113, 139, 149, 157, 179, 191, 193, 223, 239, 241, 251, 263, 277, 281, 293, 307, 311, 317, 331, 337, 349 ( A092101)

text: Higgs primes for squares[edit]

text: Primes p for which p − 1 divides the square of the product of all earlier terms.

text: 2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 43, 47, 53, 59, 61, 67, 71, 79, 101, 107, 127, 131, 139, 149, 151, 157, 173, 181, 191, 197, 199, 211, 223, 229, 263, 269, 277, 283, 311, 317, 331, 347, 349 ( A007459)

text: Highly cototient primes[edit]

text: Primes that are a cototient more often than any integer below it except 1.

text: 2, 23, 47, 59, 83, 89, 113, 167, 269, 389, 419, 509, 659, 839, 1049, 1259, 1889 ( A105440)

text: Irregular primes[edit]

text: Odd primes p that divide the class number of the p-th cyclotomic field.

text: 37, 59, 67, 101, 103, 131, 149, 157, 233, 257, 263, 271, 283, 293, 307, 311, 347, 353, 379, 389, 401, 409, 421, 433, 461, 463, 467, 491, 523, 541, 547, 557, 577, 587, 593, 607, 613 ( A000928)

text: (p, p − 3) irregular primes[edit]

text: (See Wolstenholme prime)

text: (p, p − 5) irregular primes[edit]

text: Primes p such that (p, p−5) is an irregular pair.[7]

text: (p, p − 9) irregular primes[edit]

text: Primes p such that (p, p − 9) is an irregular pair.[7]

text: 67, 877 ( A212557)

text: Isolated primes[edit]

text: Primes p such that neither p − 2 nor p + 2 is prime.

text: 2, 23, 37, 47, 53, 67, 79, 83, 89, 97, 113, 127, 131, 157, 163, 167, 173, 211, 223, 233, 251, 257, 263, 277, 293, 307, 317, 331, 337, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 439, 443, 449, 457, 467, 479, 487, 491, 499, 503, 509, 541, 547, 557, 563, 577, 587, 593, 607, 613, 631, 647, 653, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 839, 853, 863, 877, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997 ( A007510)

text: Kynea primes[edit]

text: Of the form (2n + 1)2 − 2.

text: 2, 7, 23, 79, 1087, 66047, 263167, 16785407, 1073807359, 17180131327, 68720001023, 4398050705407, 70368760954879, 18014398777917439, 18446744082299486207 ( A091514)

text: Leyland primes[edit]

text: Of the form xy + yx, with 1 < x ≤ y.

text: 17, 593, 32993, 2097593, 8589935681, 59604644783353249, 523347633027360537213687137, 43143988327398957279342419750374600193 ( A094133)

text: Long primes[edit]

text:
Primes p for which, in a given base b,

b

p
−
1

−
1

p

{\displaystyle {\frac {b^{p-1}-1}{p}}}

 gives a cyclic number. They are also called full reptend primes. Primes p for base 10:

text: 7, 17, 19, 23, 29, 47, 59, 61, 97, 109, 113, 131, 149, 167, 179, 181, 193, 223, 229, 233, 257, 263, 269, 313, 337, 367, 379, 383, 389, 419, 433, 461, 487, 491, 499, 503, 509, 541, 571, 577, 593 ( A001913)

text: Lucas primes[edit]

text:
Primes in the Lucas number sequence L0 = 2, L1 = 1,
Ln = Ln−1 + Ln−2.

text: 2,[8] 3, 7, 11, 29, 47, 199, 521, 2207, 3571, 9349, 3010349, 54018521, 370248451, 6643838879, 119218851371, 5600748293801, 688846502588399, 32361122672259149 ( A005479)

text: Lucky primes[edit]

text: Lucky numbers that are prime.

text: 3, 7, 13, 31, 37, 43, 67, 73, 79, 127, 151, 163, 193, 211, 223, 241, 283, 307, 331, 349, 367, 409, 421, 433, 463, 487, 541, 577, 601, 613, 619, 631, 643, 673, 727, 739, 769, 787, 823, 883, 937, 991, 997 ( A031157)

text: Mersenne primes[edit]

text: Of the form 2n − 1.

text: 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, 2305843009213693951, 618970019642690137449562111, 162259276829213363391578010288127, 170141183460469231731687303715884105727 ( A000668)

text: As of  2018[update], there are 50 known Mersenne primes. The 13th, 14th, and 50th have respectively 157, 183, and 23,249,425 digits.

text: As of June 2018, this class of prime numbers also currently has the largest prime: M77232917, or the 50th mersenne prime.

text: Mersenne prime exponents[edit]

text: Primes p such that 2p − 1 is prime.

text:
2, 3, 5, 7, 13, 17, 19, 31, 61, 89,
107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423,
9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049,
216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011,
24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609 ( A000043)

text:
As of  June 2018[update] three more are known to be in the sequence, but it is not known whether they are the next:
57885161, 74207281, 77232917

text: Double Mersenne primes[edit]

text: A subset of Mersenne primes of the form 22p−1 − 1 for prime p.

text: 7, 127, 2147483647, 170141183460469231731687303715884105727 (primes in  A077586)

text: As of June 2017, these are the only known double Mersenne primes, and number theorists think these are probably the only double Mersenne primes.

text: Generalized repunit primes[edit]

text: Of the form (an − 1) / (a − 1) for fixed integer a.

text: For a = 2, these are the Mersenne primes, while for a = 10 they are the repunit primes.  For other small a, they are given below:

text: a = 3: 13, 1093, 797161, 3754733257489862401973357979128773, 6957596529882152968992225251835887181478451547013 ( A076481)

text: a = 4: 5 (the only prime for a = 4)

text: a = 5: 31, 19531, 12207031, 305175781, 177635683940025046467781066894531, 14693679385278593849609206715278070972733319459651094018859396328480215743184089660644531 ( A086122)

text: a = 6: 7, 43, 55987, 7369130657357778596659, 3546245297457217493590449191748546458005595187661976371 ( A165210)

text: a = 7: 2801, 16148168401, 85053461164796801949539541639542805770666392330682673302530819774105141531698707146930307290253537320447270457

text: a = 8: 73 (the only prime for a = 8)

text: a = 9: none exist

text: Other generalizations and variations[edit]

text: Many generalizations of Mersenne primes have been defined.  This include the following:

text:
Primes of the form bn − (b − 1)n,[9][10][11] including the Mersenne primes and the cuban primes as special cases
Williams primes, of the form (b − 1)·bn − 1

text: Mills primes[edit]

text: Of the form ⌊θ3n⌋, where θ is Mills' constant. This form is prime for all positive integers n.

text: 2, 11, 1361, 2521008887, 16022236204009818131831320183 ( A051254)

text: Minimal primes[edit]

text: Primes for which there is no shorter sub-sequence of the decimal digits that form a prime. There are exactly 26 minimal primes:

text: 2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991, 6469, 6949, 9001, 9049, 9649, 9949, 60649, 666649, 946669, 60000049, 66000049, 66600049 ( A071062)

text: Newman–Shanks–Williams primes[edit]

text: Newman–Shanks–Williams numbers that are prime.

text: 7, 41, 239, 9369319, 63018038201, 489133282872437279, 19175002942688032928599 ( A088165)

text: Non-generous primes[edit]

text: Primes p for which the least positive primitive root is not a primitive root of p2.  Three such primes are known; it is not known whether there are more.[12]

text: 2, 40487, 6692367337 ( A055578)

text: Palindromic primes[edit]

text: Primes that remain the same when their decimal digits are read backwards.

text: 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14741 ( A002385)

text: Palindromic wing primes[edit]

text:
Primes of the form

a

(

10

m

−
1

)

9

±
b
×

10

m
−
1

2

{\displaystyle {\frac {a{\big (}10^{m}-1{\big )}}{9}}\pm b\times 10^{\frac {m-1}{2}}}

 with

0
≤
a
±
b
<
10

{\displaystyle 0\leq a\pm b<10}

.[13] This means all digits except the middle digit are equal.

text: 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 11311, 11411, 33533, 77377, 77477, 77977, 1114111, 1117111, 3331333, 3337333, 7772777, 7774777, 7778777, 111181111, 111191111, 777767777, 77777677777, 99999199999 ( A077798)

text: Partition primes[edit]

text: Partition function values that are prime.

text: 2, 3, 5, 7, 11, 101, 17977, 10619863, 6620830889, 80630964769, 228204732751, 1171432692373, 1398341745571, 10963707205259, 15285151248481, 10657331232548839, 790738119649411319, 18987964267331664557 ( A049575)

text: Pell primes[edit]

text:
Primes in the Pell number sequence P0 = 0, P1 = 1,
Pn = 2Pn−1 + Pn−2.

text: 2, 5, 29, 5741, 33461, 44560482149, 1746860020068409, 68480406462161287469, 13558774610046711780701, 4125636888562548868221559797461449 ( A086383)

text: Permutable primes[edit]

text: Any permutation of the decimal digits is a prime.

text: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, 97, 113, 131, 199, 311, 337, 373, 733, 919, 991, 1111111111111111111, 11111111111111111111111 ( A003459)

text: It seems likely that all further permutable primes are repunits, i.e. contain only the digit 1.

text: Perrin primes[edit]

text:
Primes in the Perrin number sequence P(0) = 3, P(1) = 0, P(2) = 2,
P(n) = P(n−2) + P(n−3).

text: 2, 3, 5, 7, 17, 29, 277, 367, 853, 14197, 43721, 1442968193, 792606555396977, 187278659180417234321, 66241160488780141071579864797 ( A074788)

text: Pierpont primes[edit]

text: Of the form 2u3v + 1 for some integers u,v ≥ 0.

text: These are also class 1- primes.

text: 2, 3, 5, 7, 13, 17, 19, 37, 73, 97, 109, 163, 193, 257, 433, 487, 577, 769, 1153, 1297, 1459, 2593, 2917, 3457, 3889, 10369, 12289, 17497, 18433, 39367, 52489, 65537, 139969, 147457 ( A005109)

text: Pillai primes[edit]

text: Primes p for which there exist n > 0 such that p divides n! + 1 and n does not divide p − 1.

text: 23, 29, 59, 61, 67, 71, 79, 83, 109, 137, 139, 149, 193, 227, 233, 239, 251, 257, 269, 271, 277, 293, 307, 311, 317, 359, 379, 383, 389, 397, 401, 419, 431, 449, 461, 463, 467, 479, 499 ( A063980)

text: Primes of the form n4 + 1[edit]

text: Of the form n4 + 1.[14][15]

text: 2, 17, 257, 1297, 65537, 160001, 331777, 614657, 1336337, 4477457, 5308417, 8503057, 9834497, 29986577, 40960001, 45212177, 59969537, 65610001, 126247697, 193877777, 303595777, 384160001, 406586897, 562448657, 655360001 ( A037896)

text: Primeval primes[edit]

text: Primes for which there are more prime permutations of some or all the decimal digits than for any smaller number.

text: 2, 13, 37, 107, 113, 137, 1013, 1237, 1367, 10079 ( A119535)

text: Primorial primes[edit]

text: Of the form pn# ± 1.

text: 3, 5, 7, 29, 31, 211, 2309, 2311, 30029, 200560490131, 304250263527209, 23768741896345550770650537601358309 (union of  A057705 and  A018239[5])

text: Proth primes[edit]

text: Of the form k×2n + 1, with odd k and k < 2n.

text: 3, 5, 13, 17, 41, 97, 113, 193, 241, 257, 353, 449, 577, 641, 673, 769, 929, 1153, 1217, 1409, 1601, 2113, 2689, 2753, 3137, 3329, 3457, 4481, 4993, 6529, 7297, 7681, 7937, 9473, 9601, 9857 ( A080076)

text: Pythagorean primes[edit]

text: Of the form 4n + 1.

text: 5, 13, 17, 29,  37, 41, 53, 61, 73, 89, 97, 101, 109, 113, 137, 149, 157, 173, 181, 193, 197, 229, 233, 241, 257, 269, 277, 281, 293, 313, 317, 337, 349, 353, 373, 389, 397, 401, 409, 421, 433, 449 ( A002144)

text: Prime quadruplets[edit]

text: Where (p, p+2, p+6, p+8) are all prime.

text: (5, 7, 11, 13), (11, 13, 17, 19), (101, 103, 107, 109), (191, 193, 197, 199), (821, 823, 827, 829), (1481, 1483, 1487, 1489), (1871, 1873, 1877, 1879), (2081, 2083, 2087, 2089), (3251, 3253, 3257, 3259), (3461, 3463, 3467, 3469), (5651, 5653, 5657, 5659), (9431, 9433, 9437, 9439) ( A007530,  A136720,  A136721,  A090258)

text: Quartan primes[edit]

text: Of the form x4 + y4, where x,y > 0.

text: 2, 17, 97, 257, 337, 641, 881 ( A002645)

text: Ramanujan primes[edit]

text: Integers Rn that are the smallest to give at least n primes from x/2 to x for all x ≥ Rn (all such integers are primes).

text: 2, 11, 17, 29, 41, 47, 59, 67, 71, 97, 101, 107, 127, 149, 151, 167, 179, 181, 227, 229, 233, 239, 241, 263, 269, 281, 307, 311, 347, 349, 367, 373, 401, 409, 419, 431, 433, 439, 461, 487, 491 ( A104272)

text: Regular primes[edit]

text: Primes p that do not divide the class number of the p-th cyclotomic field.

text: 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 47, 53, 61, 71, 73, 79, 83, 89, 97, 107, 109, 113, 127, 137, 139, 151, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 239, 241, 251, 269, 277, 281 ( A007703)

text: Repunit primes[edit]

text: Primes containing only the decimal digit 1.

text: 11, 1111111111111111111 (19 digits), 11111111111111111111111  (23 digits) ( A004022)

text: The next have 317, 1031, 49081, 86453, 109297, 270343 digits ( A004023)

text: Primes in residue classes[edit]

text: Of the form an + d for fixed integers a and d. Also called primes congruent to d modulo a.

text: The primes of the form 2n+1 are the odd primes, including all primes other than 2.  Some sequences have alternate names: 4n+1 are Pythagorean primes, 4n+3 are the integer Gaussian primes, and 6n+5 are the Eisenstein primes (with 2 omitted).  The classes 10n+d (d = 1, 3, 7, 9) are primes ending in the decimal digit d.

text:
2n+1: 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53 ( A065091)
4n+1: 5, 13, 17, 29, 37, 41, 53, 61, 73, 89, 97, 101, 109, 113, 137 ( A002144)
4n+3: 3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, 103, 107 ( A002145)
6n+1: 7, 13, 19, 31, 37, 43, 61, 67, 73, 79, 97, 103, 109, 127, 139 ( A002476)
6n+5: 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, 101, 107, 113 ( A007528)
8n+1: 17, 41, 73, 89, 97, 113, 137, 193, 233, 241, 257, 281, 313, 337, 353 ( A007519)
8n+3: 3, 11, 19, 43, 59, 67, 83, 107, 131, 139, 163, 179, 211, 227, 251 ( A007520)
8n+5: 5, 13, 29, 37, 53, 61, 101, 109, 149, 157, 173, 181, 197, 229, 269 ( A007521)
8n+7: 7, 23, 31, 47, 71, 79, 103, 127, 151, 167, 191, 199, 223, 239, 263 ( A007522)
10n+1: 11, 31, 41, 61, 71, 101, 131, 151, 181, 191, 211, 241, 251, 271, 281 ( A030430)
10n+3: 3, 13, 23, 43, 53, 73, 83, 103, 113, 163, 173, 193, 223, 233, 263 ( A030431)
10n+7: 7, 17, 37, 47, 67, 97, 107, 127, 137, 157, 167, 197, 227, 257, 277 ( A030432)
10n+9: 19, 29, 59, 79, 89, 109, 139, 149, 179, 199, 229, 239, 269, 349, 359 ( A030433)
12n+1: 13, 37, 61, 73, 97, 109, 157, 181, 193, 229, 241, 277, 313, 337, 349 ( A068228)
12n+5: 5, 17, 29, 41, 53, 89, 101, 113, 137, 149, 173, 197, 233, 257, 269 ( A040117)
12n+7: 7, 19, 31, 43, 67, 79, 103, 127, 139, 151, 163, 199, 211, 223, 271 ( A068229)
12n+11: 11, 23, 47, 59, 71, 83, 107, 131, 167, 179, 191, 227, 239, 251, 263 ( A068231)

text: Safe primes[edit]

text: Where p and (p−1) / 2 are both prime.

text: 5, 7, 11, 23, 47, 59, 83, 107, 167, 179, 227, 263, 347, 359, 383, 467, 479, 503, 563, 587, 719, 839, 863, 887, 983, 1019, 1187, 1283, 1307, 1319, 1367, 1439, 1487, 1523, 1619, 1823, 1907 ( A005385)

text: Self primes in base 10[edit]

text: Primes that cannot be generated by any integer added to the sum of its decimal digits.

text: 3, 5, 7, 31, 53, 97, 211, 233, 277, 367, 389, 457, 479, 547, 569, 613, 659, 727, 839, 883, 929, 1021, 1087, 1109, 1223, 1289, 1447, 1559, 1627, 1693, 1783, 1873 ( A006378)

text: Sexy primes[edit]

text: Where (p, p + 6) are both prime.

text: (5, 11), (7, 13), (11, 17), (13, 19), (17, 23), (23, 29), (31, 37), (37, 43), (41, 47), (47, 53), (53, 59), (61, 67), (67, 73), (73, 79), (83, 89), (97, 103), (101, 107), (103, 109), (107, 113), (131, 137), (151, 157), (157, 163), (167, 173), (173, 179), (191, 197), (193, 199) ( A023201,  A046117)

text: Smarandache–Wellin primes[edit]

text: Primes that are the concatenation of the first n primes written in decimal.

text: 2, 23, 2357 ( A069151)

text: The fourth Smarandache-Wellin prime is the 355-digit concatenation of the first 128 primes that end with 719.

text: Solinas primes[edit]

text: Of the form 2a ± 2b ± 1, where 0 < b < a.

text: 3, 5, 7, 11, 13 ( A165255)

text: Sophie Germain primes[edit]

text: Where p and 2p + 1 are both prime.

text: 2, 3, 5, 11, 23, 29, 41, 53, 83, 89, 113, 131, 173, 179, 191, 233, 239, 251, 281, 293, 359, 419, 431, 443, 491, 509, 593, 641, 653, 659, 683, 719, 743, 761, 809, 911, 953 ( A005384)

text: Stern primes[edit]

text: Primes that are not the sum of a smaller prime and twice the square of a nonzero integer.

text: 2, 3, 17, 137, 227, 977, 1187, 1493 ( A042978)

text: As of  2011[update], these are the only known Stern primes, and possibly the only existing.

text: Super-primes[edit]

text: Primes with a prime index in the sequence of prime numbers (the 2nd, 3rd, 5th, ... prime).

text: 3, 5, 11, 17, 31, 41, 59, 67, 83, 109, 127, 157, 179, 191, 211, 241, 277, 283, 331, 353, 367, 401, 431, 461, 509, 547, 563, 587, 599, 617, 709, 739, 773, 797, 859, 877, 919, 967, 991 ( A006450)

text: Supersingular primes[edit]

text: There are exactly fifteen supersingular primes:

text: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, 71 ( A002267)

text: Thabit primes[edit]

text: Of the form 3×2n − 1.

text: 2, 5, 11, 23, 47, 191, 383, 6143, 786431, 51539607551, 824633720831, 26388279066623, 108086391056891903, 55340232221128654847, 226673591177742970257407 ( A007505)

text: The primes of the form 3×2n + 1 are related.

text: 7, 13, 97, 193, 769, 12289, 786433, 3221225473, 206158430209, 6597069766657 ( A039687)

text: Prime triplets[edit]

text: Where (p, p+2, p+6) or (p, p+4, p+6) are all prime.

text: (5, 7, 11), (7, 11, 13), (11, 13, 17), (13, 17, 19), (17, 19, 23), (37, 41, 43), (41, 43, 47), (67, 71, 73), (97, 101, 103), (101, 103, 107), (103, 107, 109), (107, 109, 113), (191, 193, 197), (193, 197, 199), (223, 227, 229), (227, 229, 233), (277, 281, 283), (307, 311, 313), (311, 313, 317), (347, 349, 353) ( A007529,  A098414,  A098415)

text: Truncatable prime[edit]

text: Left-truncatable[edit]

text: Primes that remain prime when the leading decimal digit is successively removed.

text: 2, 3, 5, 7, 13, 17, 23, 37, 43, 47, 53, 67, 73, 83, 97, 113, 137, 167, 173, 197, 223, 283, 313, 317, 337, 347, 353, 367, 373, 383, 397, 443, 467, 523, 547, 613, 617, 643, 647, 653, 673, 683 ( A024785)

text: Right-truncatable[edit]

text: Primes that remain prime when the least significant decimal digit is successively removed.

text: 2, 3, 5, 7, 23, 29, 31, 37, 53, 59, 71, 73, 79, 233, 239, 293, 311, 313, 317, 373, 379, 593, 599, 719, 733, 739, 797, 2333, 2339, 2393, 2399, 2939, 3119, 3137, 3733, 3739, 3793, 3797 ( A024770)

text: Two-sided[edit]

text: Primes that are both left-truncatable and right-truncatable. There are exactly fifteen two-sided primes:

text: 2, 3, 5, 7, 23, 37, 53, 73, 313, 317, 373, 797, 3137, 3797, 739397 ( A020994)

text: Twin primes[edit]

text: Where (p, p+2) are both prime.

text: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), (149, 151), (179, 181), (191, 193), (197, 199), (227, 229), (239, 241), (269, 271), (281, 283), (311, 313), (347, 349), (419, 421), (431, 433), (461, 463) ( A001359,  A006512)

text: Unique primes[edit]

text: The list of primes p for which the period length of the decimal expansion of 1/p is unique (no other prime gives the same period).

text: 3, 11, 37, 101, 9091, 9901, 333667, 909091, 99990001, 999999000001, 9999999900000001, 909090909090909091, 1111111111111111111, 11111111111111111111111, 900900900900990990990991 ( A040017)

text: Wagstaff primes[edit]

text: Of the form (2n + 1) / 3.

text: 3, 11, 43, 683, 2731, 43691, 174763, 2796203, 715827883, 2932031007403, 768614336404564651, 201487636602438195784363, 845100400152152934331135470251, 56713727820156410577229101238628035243 ( A000979)

text: Values of n:

text: 3, 5, 7, 11, 13, 17, 19, 23, 31, 43, 61, 79, 101, 127, 167, 191, 199, 313, 347, 701, 1709, 2617, 3539, 5807, 10501, 10691, 11279, 12391, 14479, 42737, 83339, 95369, 117239, 127031, 138937, 141079, 267017, 269987, 374321 ( A000978)

text: Wall–Sun–Sun primes[edit]

text:
A prime p > 5, if p2 divides the Fibonacci number

F

p
−

(

p
5

)

{\displaystyle F_{p-\left({\frac {p}{5}}\right)}}

, where the Legendre symbol

(

p
5

)

{\displaystyle \left({\frac {p}{5}}\right)}

 is defined as

text: As of  2018[update], no Wall-Sun-Sun primes are known.

text: Weakly prime numbers[edit]

text: Primes that having any one of their (base 10) digits changed to any other value will always result in a composite number.

text: 294001, 505447, 584141, 604171, 971767, 1062599, 1282529, 1524181, 2017963, 2474431, 2690201, 3085553, 3326489, 4393139 ( A050249)

text: Wieferich primes[edit]

text: Primes p such that ap − 1 ≡ 1 (mod p2) for fixed integer a > 1.

text:
2p − 1 ≡ 1 (mod p2): 1093, 3511 ( A001220)
3p − 1 ≡ 1 (mod p2): 11, 1006003 ( A014127)[16][17][18]
4p − 1 ≡ 1 (mod p2): 1093, 3511
5p − 1 ≡ 1 (mod p2): 2, 20771, 40487, 53471161, 1645333507, 6692367337, 188748146801 ( A123692)
6p − 1 ≡ 1 (mod p2): 66161, 534851, 3152573 ( A212583)
7p − 1 ≡ 1 (mod p2): 5, 491531 ( A123693)
8p − 1 ≡ 1 (mod p2): 3, 1093, 3511
9p − 1 ≡ 1 (mod p2): 2, 11, 1006003
10p − 1 ≡ 1 (mod p2): 3, 487, 56598313 ( A045616)
11p − 1 ≡ 1 (mod p2): 71[19]
12p − 1 ≡ 1 (mod p2): 2693, 123653 ( A111027)
13p − 1 ≡ 1 (mod p2): 2, 863, 1747591 ( A128667)[19]
14p − 1 ≡ 1 (mod p2): 29, 353, 7596952219 ( A234810)
15p − 1 ≡ 1 (mod p2): 29131, 119327070011 ( A242741)
16p − 1 ≡ 1 (mod p2): 1093, 3511
17p − 1 ≡ 1 (mod p2): 2, 3, 46021, 48947 ( A128668)[19]
18p − 1 ≡ 1 (mod p2): 5, 7, 37, 331, 33923, 1284043 ( A244260)
19p − 1 ≡ 1 (mod p2): 3, 7, 13, 43, 137, 63061489 ( A090968)[19]
20p − 1 ≡ 1 (mod p2): 281, 46457, 9377747, 122959073 ( A242982)
21p − 1 ≡ 1 (mod p2): 2
22p − 1 ≡ 1 (mod p2): 13, 673, 1595813, 492366587, 9809862296159 ( A298951)
23p − 1 ≡ 1 (mod p2): 13, 2481757, 13703077, 15546404183, 2549536629329 ( A128669)
24p − 1 ≡ 1 (mod p2): 5, 25633
25p − 1 ≡ 1 (mod p2): 2, 20771, 40487, 53471161, 1645333507, 6692367337, 188748146801

text: As of  2018[update], these are all known Wieferich primes with a ≤ 25.

text: Wilson primes[edit]

text: Primes p for which p2 divides (p−1)! + 1.

text: 5, 13, 563 ( A007540)

text: As of  2018[update], these are the only known Wilson primes.

text: Wolstenholme primes[edit]

text:
Primes p for which the binomial coefficient

(

2
p
−
1

p
−
1

)

≡
1

(
mod

p

4

)

.

{\displaystyle {{2p-1} \choose {p-1}}\equiv 1{\pmod {p^{4}}}.}

text: 16843, 2124679 ( A088164)

text: As of  2018[update], these are the only known Wolstenholme primes.

text: Woodall primes[edit]

text: Of the form n×2n − 1.

text: 7, 23, 383, 32212254719, 2833419889721787128217599, 195845982777569926302400511, 4776913109852041418248056622882488319 ( A050918)


question_text: the most clean sheets in the premier league

root

text: In association football a goalkeeper may be said to "keep a clean sheet" if they prevent their opponents scoring any goals during an entire match.

tag: p

text: Since the Premier League's formation at the start of the 1992–93 season, 14 goalkeepers have managed to keep 100 or more clean sheets in the Premier League.

text: During the 1997–98 season, Peter Schmeichel became the first player to keep 100 Premier League clean sheets.

text: Petr Čech holds the record for most clean sheets kept in a single season, with 24.[1] The record for consecutive clean sheets was also set by Čech, who became the first goalkeeper to keep ten consecutive clean sheets; Edwin van der Sar later eclipsed this when he went 14 games without conceding in 2008–09 for Manchester United.[2]

text: The first goalkeepers to keep a clean sheet in the Premier League were Tim Flowers and Erik Thorstvedt on the opening day of the inaugural season in a 0–0 draw between Southampton and Tottenham Hotspur; all other goalkeepers conceded that day.

text: Each year the goalkeeper who has kept the most clean sheets during the Premier League campaign is awarded the Premier League Golden Glove award. First presented in 2004–05, six goalkeepers have won the award, with Joe Hart and Petr Čech holding the joint record for most wins at four.

text: Players[edit]

text:
List of Premier League goalkeepers with 100 or more clean sheets

Rank

Player

Apps

Clean  sheets

Average

Club(s)

Ref.

1

 Petr Čech

437

201

0.46

Chelsea (162), Arsenal (39)

[3]

2

 David James

572

169

0.30

Liverpool (72), Aston Villa (21), West Ham United (18), Manchester City (19), Portsmouth (39)

[4]

3

 Mark Schwarzer

514

151

0.29

Middlesbrough (92), Fulham (56), Chelsea (2), Leicester City (1)

[5]

4

 David Seaman

344

140

0.41

Arsenal (137), Manchester City (3)

[6]

5

 Nigel Martyn

372

137

0.37

Crystal Palace (25), Leeds United (82), Everton (30)

[7]

6

 Pepe Reina

285

134

0.47

Liverpool (134)

[8]

7

 Edwin van der Sar

313

132

0.42

Fulham (42), Manchester United (90)

[9]

 Tim Howard

399

132

0.33

Manchester United (16), Everton (116)

[10]

 Brad Friedel

450

132

0.29

Liverpool (6), Blackburn Rovers (77), Aston Villa (35), Tottenham Hotspur (14)

[11]

10

 Peter Schmeichel

310

128

0.41

Manchester United (112), Aston Villa (7), Manchester City (9)

[12]

11

 Joe Hart

322

124

0.38

Manchester City (109), Birmingham City (10), West Ham United (4), Burnley (1)

[13]

12

 Shay Given

451

113

0.25

Blackburn Rovers (1), Newcastle United (89), Manchester City (14), Aston Villa (9)

[14]

13

 Jussi Jääskeläinen

436

108

0.25

Bolton Wanderers (89), West Ham United (19)

[15]

14

 Thomas Sørensen

364

107

0.29

Sunderland (35), Aston Villa (46), Stoke City (26)

[16]

(Bold denotes goalkeeper currently playing in Premier League)(Italics denote goalkeeper currently playing outside the Premier League)Statistics correct as of 12 August 2018.

tag: table

text: Consecutives[edit]

text:
Games
Player
Club
Dates
Season(s)

14
 Edwin van der Sar
Manchester United
22 November 2008 – 18 February 2009
2008–09

10
 Petr Čech
Chelsea
18 December 2004 – 15 March 2005
2004–05

8
 Pepe Reina
Liverpool
29 October 2005 – 28 December 2005
2005–06

8
 Petr Čech
Chelsea
31 January 2007 – 7 April 2007
2006–07

7
 Neville Southall
Everton
1 November 1994 – 17 December 1994
1994–95

7
 Peter Schmeichel
Manchester United
8 May 1997 – 30 August 1998
1996–97 and 1997–98

7
 Paul Jones
Southampton
13 January 2001 – 17 March 2001
2000–01

6
 Alex Manninger
Arsenal
31 January 1998 – 14 March 1998
1997–98

6
 Petr Čech
Chelsea
30 April 2005 – 17 September 2005
2004–05 and 2005–06

6
 David de Gea
Manchester United
2 February 2013 – 30 March 2013
2012–13

6
 Joe Hart
Manchester City
24 May 2015 – 19 September 2015
2014–15 and 2015–16

6
 Fraser Forster
Southampton
13 January 2016 – 13 February 2016
2015–16

6
 Thibaut Courtois
Chelsea
1 October 2016 – 26 November 2016
2016–17


document_title: List of batsmen who have scored 100 centuries in first-class cricket

question_text: who scored most centuries in first class cricket

text: In the sport of cricket, a batsman is said to have scored a century when they score 100 or more runs without being dismissed. In first-class cricket, the highest form of the game below international level, a total of 25 players have achieved the feat on a hundred or more occasions.[1]

text: The first cricketer to achieve the feat was W. G. Grace, who completed his hundredth century in 1895. Grace remains the only batsman to have achieved the feat and finish with a batting average below 40.[2]

text: The English County Championship has historically always been the first-class competition in which the most matches are played per season, hence the most conducive competition to prolific runscoring. Of the 25 men to have scored 100 first-class centuries, all have been either natively English or English-qualified except Donald Bradman of Australia, Zaheer Abbas of Pakistan, Glenn Turner of New Zealand and West Indian Viv Richards. Zaheer Abbas (Gloucestershire), Turner (Worcestershire) and Richards (Somerset) all had substantial county careers as overseas players; Bradman, the first non-English batsman to achieve the feat, therefore remains the only batsman to have done so despite never having played for an English county side.

text: Batsmen with a century of centuries[edit]

text:
100s denotes how many centuries the batsman scored in first-class cricket.
Nation denotes the side for which the batsman played Test cricket; the number following indicates the number of centuries scored in Test cricket (in bold) plus the number of other first-class centuries scored for the national side.
100th denotes the season in which the batsman scored his one-hundredth century in first-class cricket.
ItH denotes how many innings it took the batsman to reach his hundredth century in first-class cricket.
Inns denotes how many innings the batsman played.
Runs denotes the number of runs scored by the batsman in his first-class career.
Ave denotes the batsman's career batting average.
♠ denotes the batsman scored their hundredth century in a Test match.

tag: ul

text:
Rank
100s
Player
Nation (100s)
  County (100s)
100th
ItH
Career
Inns
Runs
Ave
Notes

01 !1
199
Hobbs, JackJack Hobbs
 England (15)
Surrey (1 !144)
1923
821
1905–1934
1,315
61,237
50.65
[3]

02 !2
170
Hendren, PatsyPatsy Hendren
 England (07 !7+1)
Middlesex (1 !119)
1928–29
740
1907–1938
1,300
57,611
50.80
[4]

03 !3
167
Hammond, WallyWally Hammond
 England (22+4)
Gloucestershire (113)
1935
680
1923–1950
1,005
50,551
56.10
[5]

04 !4
153
Mead, PhilPhil Mead
 England (04 !4)
Hampshire (138)
1927
892
1905–1936
1,340
55,061
47.67
[6]

05 !5
151
Boycott, GeoffreyGeoffrey Boycott ♠
 England (22+3)
Yorkshire (2 !103)
1977
645
1962–1986
1,014
48,426
56.83
[7]

06 !6
149
Sutcliffe, HerbertHerbert Sutcliffe
 England (16+2)
Yorkshire (1 !112)
1932
700
1919–1945
1,088
50,138
51.95
[3]

07 !7
145
Woolley, FrankFrank Woolley
 England (05 !5+3)
Kent (1 !122)
1929
1,031
1906–1938
1,532
58,969
40.75
[3]

08 !8
136
Hick, GraemeGraeme Hick
 England (06 !6)
Worcestershire (106)
1998
574
1983–2008
871
41,112
52.23
[8]

09 !9
129
Hutton, LenLen Hutton
 England (19+1)
Yorkshire (3 !85)
1951
619
1934–1960
814
40,140
55.51
[9]

10
128
Gooch, GrahamGraham Gooch
 England (20)
Essex (94)
1992–93
820
1973–2000
990
44,846
49.01
[10]

11
126
Grace, W. G.W. G. Grace
 England (02 !2+2)
Gloucestershire (49)
1895
1,113
1865–1908
1,493
54,896
39.55
[3]

12
123
Compton, DenisDenis Compton
 England (17)
Middlesex (2 !67)
1952
552
1936–1964
839
38,942
51.85
[11]

13
122
Graveney, TomTom Graveney
 England (11)
Gloucestershire (50)
Worcestershire (27)
1964
940
1948–1972
1,223
47,793
44.91
[12]

14
117
Bradman, DonaldDonald Bradman
 Australia (29+36)
—
1947–48
295
1927–1949
338
28,067
95.14
[13][14]

15
114
Richards, VivViv Richards
 West Indies (24+23)
Somerset (47)
Glamorgan (10)
1988–89
658
1971–1993
796
36,212
49.40
[15][16]

16
114
Ramprakash, MarkMark Ramprakash
 England (02 !2+3)
Middlesex (3 !46)
Surrey (60)
2008
676
1987–2012
764
35,659
53.14
[17][18]

17
108
Zaheer Abbas ♠
 Pakistan (12+17)
Gloucestershire (49)
1982–83
658
1965–1987
768
34,843
51.54
[19][20]

18=
107
Sandham, AndyAndy Sandham
 England (02 !2)
Surrey (3 !83)
1935
871
1911–1938
1,000
41,284
44.82
[21]

18=
107
Cowdrey, ColinColin Cowdrey
 England (22+1)
Kent (3 !58)
1973
1,035
1950–1976
1,130
42,719
42.89
[22]

20
104
Hayward, TomTom Hayward
 England (03 !3)
Surrey (2 !88)
1913
1,076
1893–1914
1,138
43,551
41.79
[23]

21=
103
Turner, GlennGlenn Turner
 New Zealand (07 !7+9)
Worcestershire (72)
1982
779
1964–1983
792
34,346
49.70
[24][25]

21=
103
Edrich, JohnJohn Edrich
 England (12)
Surrey (4 !81)
1977
945
1956–1978
979
39,790
45.47
[26]

23=
102
Ames, LesLes Ames
 England (08 !8+4)
Kent (2 !78)
1950
916
1926–1951
951
37,248
43.51
[27]

23=
102
Tyldesley, ErnestErnest Tyldesley
 England (03 !3+1)
Lancashire (90)
1934
919
1909–1936
961
38,874
45.46
[28]

23=
102
Amiss, DennisDennis Amiss
 England (11+1)
Warwickshire (78)
1986
1,081
1960–1987
1,139
43,423
42.86
[29]


document_title: List of Indian High Commissioners to Pakistan

question_text: who is appointed by india as new ambassador to pakistan

text: List of Indian Ambassadors to Pakistan[edit]

text: High Commissioner of India to the Dominion of Pakistan (1947-1956)[edit]

text:
Name Mohan Singh Mehta
Entered office1952
Left office1955

Sri Prakash
1947
1949

Sita Ram
1949
1951

C.C.Desai
1955
1956

text: High Commissioner of India to the Islamic Republic of Pakistan (1956-1971)[edit]

text:
Name Jai Kumar Atal
Entered office1971(October)
Left office 1971(December)

C.C.Desai
1956
1958

Rajeshwar Dayal
1958
1962

G Parthasarathi
1962
1965

Kewal Singh
1965
1966

S.SEN
1968
1969

B K Acharya
1969
1971

text: (Suspension of diplomatic relations following the 1971 Indo-Pakistani War)

text: Ambassador of India to the Islamic Republic of Pakistan (1976-1989)[edit]

text:
Name
Entered office
Left office

K S Bajpai
1976
1980

K. D. Sharma
1982
1985

S K Singh
1985
1989

J N Dixit
April 1989
August 1989

text: High Commissioner of India to the Islamic Republic of Pakistan (1989-1999)[edit]

text:
Name
Entered office
Left office

J N Dixit
August 1989
November 1991

Satinder Kumar Lambah
January 1992
July 1995

Satish Chandra
August 1995
December 1998

Gopalaswami Parthasarathy
February 1999
October 1999

text: Ambassador of India to the Islamic Republic of Pakistan (1999-2004)[edit]

text:
Name
Entered office
Left office

Gopalaswami Parthasarathy
October 1999
May 2000

Vijay K. Nambiar
August 2000
December 2001

text: (Suspension of diplomatic relations until 2003)

text:
Name
Entered office
Left office

Shivshankar Menon
July 2003
May 2004

text: High Commissioner of India to the Islamic Republic of Pakistan (2004-2007)[edit]

text:
Name
Entered office
Left office

Shivshankar Menon
May 2004
September 2006

Satyabrata Pal
September 2006
November 2007

text: Ambassador of India to the Islamic Republic of Pakistan (2007-2008)[edit]

text:
Name
Entered office
Left office

Satyabrata Pal
November 2007
May 2008

text: High Commissioner of India to the Islamic Republic of Pakistan (2008-present)[edit]

text:
Name
Entered office
Left office

Satyabrata Pal
May 2008
February 2009

Sharat Sabharwal
April 2009
June 2013

TCA Raghavan[1][2]
July 2013
December 2015

Gautam Bambawale[3][4][5]
December 2015
September 2017

Ajay Bisaria
September 2017
"Incumbent"


document_title: Fort Worth Invitational

question_text: who won the fort worth invitational last year

text: Fort Worth Invitational

text: Overview[edit]

text: The tournament was founded 72 years ago in 1946,[2] and honors the history of golf by using an official Scottish tartan plaid jacket for its champions and top committee chairmen. Another tradition feeding Colonial history is the Wall of Champions on the first tee, engraved with the name and score of each champion dating back to 1946, plus the U.S. Open in 1941.

text: The tournament is unofficially associated with Ben Hogan (1912–1997), the long-time Fort Worth resident who won the tournament five times,[3] the most of any player. One of the top players in golf history, he won nine major titles, six after a near-fatal automobile collision in 1949 that kept him hospitalized for two months. Hogan's final three major wins were consecutive in 1953; a statue of him at swing completion is near the clubhouse.[4]

text: Annika Sörenstam played in the 2003 tournament and became the first woman to play in a PGA Tour event in 58 years, since Babe Zaharias made three cuts as an amateur in 1945.[5][6] Sörenstam's participation drew high media attention, but she shot 71 and 74 and missed the cut by four strokes.[7]

text: Sponsors[edit]

text: The event currently has no sponsor, but will be sponsored by Charles Schwab beginning in 2019.[8]

text: Previous sponsors were Dean & Deluca (2016–2017), Crowne Plaza (2007–2015), Bank of America (2003–2006), MasterCard (1996–2002), and Southwestern Bell (1989–1994). There was no title sponsor in 1995 or 2018.[9]

text: The event name had "Colonial" in its title through 2015, when the "Crowne Plaza Invitational at Colonial" was renamed the "Dean & DeLuca Invitational".  Even the unsponsored 2018 event used the name "Fort Worth Invitational", as opposed to "Colonial Invitational" which was used the last time the event was without a sponsor back in 1995.

text: The 2018 tournament, renamed the Fort Worth Invitational, is being held through the support of four local corporate supporters that have stepped-in to provide financial support after Dean & DeLuca suddenly pulled-out of a six-year sponsorship agreement.  American Airlines, AT&T, XTO Energy Inc. and Burlington Northern Santa Fe Railway agreed to fund the 2018 tournament to allow time for the PGA Tour and Colonial Country Club to find a new sponsor.

text: Charles Schwab Corporation, a sponsor on the PGA Tour and PGA Tour Champions, will assume title sponsorship of the Fort Worth Invitational. The four-year agreement, from 2019–2022, was announced April 23, 2018.

text: Invitational status[edit]

text: The Fort Worth Invitational is one of only five tournaments given "invitational" status by the PGA Tour, and consequently it has a reduced field of approximately 125 players (as opposed to most full-field open tournaments with a field of 156 players).  The other four tournaments with invitational status are the Arnold Palmer Invitational, the RBC Heritage, the Memorial Tournament, and the Quicken Loans National.

text: Invitational tournaments have smaller fields (between 120 and 132 players), and have more freedom than full-field open tournaments in determining which players are eligible to participate in their event, as invitational tournaments are not required to fill their fields using the PGA Tour Priority Ranking System.  Furthermore, unlike full-field open tournaments, invitational tournaments do not offer open qualifying (aka Monday qualifying).

text: Field[edit]

text: The field consists of at least 120 players invited using the following criteria:[10][11]

text:
Colonial winners prior to 2000 and in the last five years
Colonial Winners in top 150 of prior year money list
The Players Championship and major championship winners in the last five years
The Tour Championship and World Golf Championships winners in the past three years
Arnold Palmer Invitational and Memorial winners since 2015
PGA Tour tournament winners since the last Colonial tournament
Playing members on the last named U.S. Ryder Cup team
Current PGA Tour members who were playing members on the last named European Ryder Cup team, U.S. Presidents Cup team, and International President's Cup team
Two players to be selected by the current and former champions of the Colonial tournament (Champions Choices)
Top 15 finishers and ties from previous year's Colonial Tournament
12 sponsors exemptions -- 2 from among graduates of Web.com Tour finals, 6 members not otherwise exempt, and 4 unrestricted
Top 50 Official World Golf Ranking through the Masters
Top 80 from prior year's FedEx Cup points list
Members in the top 125 non-member category whose non-WGC points for the previous season equal or exceed the points earned by the player finishing in 80th position on the prior year FedEx Cup points list
Top 80 from current year's FedEx Cup points list through the Players Championship
If necessary to complete a field of 120 players, any remaining positions are filled from current year's FedEx Cup points list

tag: ol

text: Colonial winners prior to 2000 that are not otherwise eligible are in addition to a field of 120.

text: Champion's Choice tradition[edit]

text: Colonial has a unique PGA Tour tradition known as the Champion's Choice invitation.  Each year, former Colonial champions select two deserving young players, who otherwise would be ineligible, to compete in the tournament.

text: Pros who made their first appearance at Colonial as a Champion's Choice include Al Geiberger, Tom Weiskopf, Craig Stadler, Curtis Strange, Mark O'Meara, Paul Azinger and Davis Love III.  Five Champion's Choices have eventually won the Colonial; Dave Stockton is the only Champion's Choice to win the tournament in the year selected (1967).

text: Course layout[edit]

text:
Hole
1
2
3
4
5
6
7
8
9
Out
10
11
12
13
14
15
16
17
18
In
Total

Yards
565
389
483
247
481
406
440
199
407
3,617
408
635
445
190
464
430
192
387
441
3,592
7,209

Par
5
4
4
3
4
4
4
3
4
35
4
5
4
3
4
4
3
4
4
35
70

text: Winners[edit]

text:
Year
Player
Country
Score
To par
Marginof victory
Runner(s)-up
Winner'sshare ($)
Purse ($)
Ref

Fort Worth Invitational

2018
Justin Rose
 England
260
−20
3 strokes
 Brooks Koepka
1,278,000
7,100,000

Dean & DeLuca Invitational

2017
Kevin Kisner
 United States
270
−10
1 stroke
 Sean O'Hair Jon Rahm Jordan Spieth
1,242,000
6,900,000

2016
Jordan Spieth
 United States
263
−17
3 strokes
 Harris English
1,206,000
6,700,000

Crowne Plaza Invitational at Colonial

2015
Chris Kirk
 United States
268
−12
1 stroke
 Jason Bohn Brandt Snedeker Jordan Spieth
1,170,000
6,500,000

2014
Adam Scott
 Australia
271
−9
Playoff
 Jason Dufner
1,152,000
6,400,000

2013
Boo Weekley
 United States
266
−14
1 stroke
 Matt Kuchar
1,152,000
6,400,000

2012
Zach Johnson (2)
 United States
268
−12
1 stroke
 Jason Dufner
1,152,000
6,400,000

2011
David Toms
 United States
265
−15
1 stroke
 Charlie Wi
1,116,000
6,200,000

2010
Zach Johnson
 United States
259
−21
3 strokes
 Brian Davis
1,116,000
6,200,000

2009
Steve Stricker
 United States
263
−17
Playoff
 Tim Clark Steve Marino
1,116,000
6,200,000

2008
Phil Mickelson (2)
 United States
266
−14
1 stroke
 Tim Clark Rod Pampling
1,098,000
6,100,000

2007
Rory Sabbatini
 South Africa
266
−14
Playoff
 Jim Furyk Bernhard Langer
1,080,000
6,000,000

Bank of America Colonial

2006
Tim Herron
 United States
268
−12
Playoff
 Richard S. Johnson
1,080,000
6,000,000

2005
Kenny Perry (2)
 United States
261
−19
7 strokes
 Billy Mayfair
1,008,000
5,600,000

2004
Steve Flesch
 United States
269
−11
1 stroke
 Chad Campbell
954,000
5,300,000

2003
Kenny Perry
 United States
261
−19
6 strokes
 Justin Leonard
900,000
5,000,000

MasterCard Colonial

2002
Nick Price (2)
 Zimbabwe
267
−13
5 strokes
 Kenny Perry David Toms
774,000
4,300,000

2001
Sergio García
 Spain
267
−13
2 strokes
 Brian Gay Phil Mickelson
720,000
4,000,000

2000
Phil Mickelson
 United States
268
−12
2 strokes
 Stewart Cink Davis Love III
594,000
3,300,000

1999
Olin Browne
 United States
272
−8
1 stroke
 Fred Funk Paul Goydos Tim Herron Greg Kraft Jeff Sluman
504,000
2,800,000

1998
Tom Watson
 United States
265
−15
2 strokes
 Jim Furyk
414,000
2,300,000

1997
David Frost
 South Africa
265
−15
2 strokes
 Brad Faxon David Ogrin
288,000
1,600,000

1996
Corey Pavin (2)
 United States
272
−8
2 strokes
 Jeff Sluman
270,000
1,500,000

Colonial National Invitation

1995
Tom Lehman
 United States
271
−9
1 stroke
 Craig Parry
252,000
1,400,000

Southwestern Bell Colonial

1994
Nick Price
 Zimbabwe
266
−14
Playoff
 Scott Simpson
252,000
1,400,000

1993
Fulton Allem
 South Africa
264
−16
1 stroke
 Greg Norman
234,000
1,300,000

1992
Bruce Lietzke (2)
 United States
267
−13
Playoff
 Corey Pavin
234,000
1,300,000

1991
Tom Purtzer
 United States
267
−13
3 strokes
 David Edwards Scott Hoch Bob Lohr
216,000
1,200,000

1990
Ben Crenshaw (2)
 United States
272
−8
3 strokes
 John Mahaffey Corey Pavin Nick Price
180,000
1,000,000

1989
Ian Baker-Finch
 Australia
270
−10
4 strokes
 David Edwards
180,000
1,000,000

Colonial National Invitation

1988
Lanny Wadkins
 United States
270
−10
1 stroke
 Mark Calcavecchia Ben Crenshaw Joey Sindelar
135,000
750,000

1987
Keith Clearwater
 United States
266
−14
3 strokes
 Davis Love III
108,000
600,000

1986
Dan Pohl
 United States
205^
−5
Playoff
 Payne Stewart
108,000
600,000

1985
Corey Pavin
 United States
266
−14
4 strokes
 Bob Murphy
90,000
500,000

1984
Peter Jacobsen
 United States
270
−10
Playoff
 Payne Stewart
90,000
500,000

1983
Jim Colbert
 United States
278
−2
Playoff
 Fuzzy Zoeller
72,000
400,000

1982
Jack Nicklaus
 United States
273
−7
3 strokes
 Andy North
63,000
350,000

1981
Fuzzy Zoeller
 United States
274
−6
4 strokes
 Hale Irwin
54,000
300,000

1980
Bruce Lietzke
 United States
271
−9
1 stroke
 Ben Crenshaw
54,000
300,000

1979
Al Geiberger
 United States
274
−6
1 stroke
 Don January Gene Littler
54,000
300,000

1978
Lee Trevino (2)
 United States
268
−12
4 strokes
 Jerry Heard Jerry Pate
40,000
200,000

1977
Ben Crenshaw
 United States
272
−8
1 stroke
 John Schroeder
40,000
200,000

1976
Lee Trevino
 United States
273
−7
1 stroke
 Mike Morley
40,000
200,000

1975
No tournament - hosted the Tournament Players Championship in August

1974
Rod Curl
 United States
276
−4
1 stroke
 Jack Nicklaus
50,000
250,000

1973
Tom Weiskopf
 United States
276
−4
1 stroke
 Bruce Crampton Jerry Heard
30,000
150,000

1972
Jerry Heard
 United States
275
−5
2 strokes
 Fred Marti
25,000
125,500

1971
Gene Littler
 United States
283
+3
1 stroke
 Bert Yancey
25,000
125,000

1970
Homero Blancas
 United States
273
−7
1 stroke
 Gene Littler Lee Trevino
25,000
125,000

1969
Gardner Dickinson
 United States
278
−2
1 stroke
 Gary Player
25,000
125,000

1968
Billy Casper (2)
 United States
275
−5
5 strokes
 Gene Littler
25,000
125,000

1967
Dave Stockton
 United States
278
−2
2 strokes
 Charles Coody
23,000
115,000

1966
Bruce Devlin
 Australia
280
E
1 stroke
 R. H. Sikes
22,000
110,000

1965
Bruce Crampton
 Australia
276
−4
3 strokes
 George Knudson
20,000
100,000

1964
Billy Casper
 United States
279
−1
4 strokes
 Tommy Jacobs
14,000
75,000

1963
Julius Boros (2)
 United States
279
−1
4 strokes
 Gary Player
12,000
60,000

1962
Arnold Palmer
 United States
281
+1
Playoff
 Johnny Pott
7,000
40,000

1961
Doug Sanders
 United States
281
+1
1 stroke
 Kel Nagle
7,000
40,000

1960
Julius Boros
 United States
280
E
1 stroke
 Gene Littler Kel Nagle
5,000
30,000

1959
Ben Hogan (5)
 United States
285
+5
Playoff
 Fred Hawkins
5,000
27,300

1958
Tommy Bolt
 United States
282
+2
1 stroke
 Ken Venturi
5,000
25,000

1957
Roberto De Vicenzo
 Argentina
284
+4
1 stroke
 Dick Mayer
5,000
25,000
[12]

1956
Mike Souchak
 United States
280
E
1 stroke
 Tommy Bolt
5,000
25,000
[13]

1955
Chandler Harper
 United States
276
−4
8 strokes
 Dow Finsterwald
5,000
25,000
[14]

1954
Johnny Palmer
 United States
280
E
2 strokes
 Fred Haas
5,000
25,000
[15]

1953
Ben Hogan (4)
 United States
282
+2
5 strokes
 Doug Ford Cary Middlecoff
5,000
25,000
[16]

1952
Ben Hogan (3)
 United States
279
−1
4 strokes
 Lloyd Mangrum
4,000
20,000
[17]

1951
Cary Middlecoff
 United States
282
+2
1 stroke
 Jack Burke, Jr.
3,000
15,000
[18]

1950
Sam Snead
 United States
277
−3
3 strokes
 Skip Alexander
3,000
15,000
[19]

1949
No tournament - cancelled due to course flooding[20]

1948
Clayton Heafner
 United States
272
−8
6 strokes
 Skip Alexander Ben Hogan
3,000
15,000
[21]

1947
Ben Hogan (2)
 United States
279
−1
1 stroke
 Toney Penna
3,000
15,000
[22]

1946
Ben Hogan
 United States
279
−1
1 stroke
 Harry Todd
3,000
15,000
[2]

text:
^ Indicates weather-shortened to 54 holes
Note: Green highlight indicates scoring records.
Source:[23][24][25][26]

text: Multiple winners[edit]

text: Eleven men have won this tournament more than once through 2017.

text: 5 wins

text: Ben Hogan: 1946, 1947, 1952, 1953, 1959

text: 2 wins

text:
Julius Boros: 1960, 1963
Billy Casper: 1964, 1968
Lee Trevino: 1976, 1978
Ben Crenshaw: 1977, 1990
Bruce Lietzke: 1980, 1992

Corey Pavin: 1985, 1996
Nick Price: 1994, 2002
Kenny Perry: 2003, 2005
Phil Mickelson: 2000, 2008
Zach Johnson: 2010, 2012


document_title: Cake Boss

question_text: what are the names of buddy's sisters on cake boss

question_tokens: what are the names of buddy 's sisters on cake boss

text: Cake Boss

text: Cast[edit]

text: Present[edit]

text:
Bartolo "Buddy" Valastro, Jr. (born March 3, 1977)[9][10] – The star of the show, who has worked at the bakery since age 17 in 1994.[11] He is the only son and the youngest child of Bartolo "Buddy" Sr. and Mary Valastro. He grew up in Little Ferry, New Jersey.[12] He is married to Elisabetta "Lisa" Valastro (née Belgiovine) with whom he has four children: Sofia, Bartolo "Buddy" III, Marco, and Carlo. In 2012, as a result of the attention that the series brought to Hoboken, New Jersey, the Hudson Reporter named him as an honorable mention in its list of Hudson County's 50 most influential people.[13]
Mauro Castano (born August 18, 1963)[14] – pastry chef and Buddy's right-hand man. He is married to Buddy's second-oldest sister, Maddalena. He was born in Milan, and left Italy when he was 12. He arrived in the USA on February 15, 1976. His father is from Bernalda, Basilicata and his mother from near Reggio Emilia, Emilia Romagna.[15] On September 16, 1989 he had his first date with Maddalena (her father orchestrated all), and in October 1991 they married.
Joseph "Joey" Faugno (born October 10, 1967)[16] – The shop's head baker. He is married to Buddy's oldest sister, Grace. They have two children: Robert and Bartolina.[17]
Frank "Frankie" Amato, Jr. (born August 29, 1978)[18] – cake decorator. He is Buddy's second cousin, the godfather to his son Marco, and has two children of his own.[19]
Danny Dragone – multipurpose employee, worked at the bakery since before Buddy was born. He is a close family friend, and his daughter, Tatiana, works at the bakery. He is nicknamed "the mule" for his versatility.[20]
Grace Faugno (née Valastro) – (born June 30, 1966)[21] Buddy's oldest sister. She works front counter. She is married to Joey Faugno, the shop's head baker. They have two children: Robert and Bartolina.
Maddalena Castano (née Valastro) (born August 15, 1967)[21] – manages the front counter.[22] She is married to Mauro. They have three children: Dominique, Bartolo "Buddy", and Mary.[23]
Mary Sciarrone (née Valastro)[24] (born September 30, 1969)[21] – Cake Consultant and Buddy's third-oldest sister. She is married with two children: Joseph and Lucia.[25] In the fifth-season episode "Stained Glass & A Surprised Danny", she was fired because of multiple incidents involving her making inappropriate statements.[26] Mary was rehired as a cake consultant a few weeks after being fired. She returned to full-time work at the bakery in the episode "Silly Seuss & Surprise!".[27]
Lisa Valastro (born December 31, 1974) - Buddy's youngest sister. Manages the store front and handles billing some times.
Elisabetta "Lisa" Valastro (née Belgiovine) (born March 9, 1979) [21] – Buddy's wife. They have four kids, Sofia Valastro, Carlo Valastro, Marco Valastro, Buddy Valastro, Jr.[28] Her parents, Gloria Tomacco and Mauro Belgiovine, who seen in the show, are from Molfetta, Puglia.
Maurizio Belgiovine – delivery boy and structure builder. He is Buddy's brother-in-law.[24]
Ralph "Ralphie Boy" Attanasia III (born September 6, 1984)[29] – bakery sculptor.[30]
Marissa Lopez – Buddy's intern (winner of Season 2 of Next Great Baker), later becoming manager of Carlo's Bakery's new location in Ridgewood, New Jersey.[31]

text: Past[edit]

text: Mary Valastro Pinto – (April 17, 1948 – June 22, 2017) Buddy's mother. A show regular until her 2010 retirement; still appeared on the show on occasion. Announced in 2012 that she was diagnosed with ALS. The family's struggle and reaction was documented in the Season 5 episode, "A Bittersweet Homecoming", on July 23, 2012.[32] Mary died on June 22, 2017, after a five-year battle with ALS.[33]

text:
Remigio "Remy" Gonzalez – Buddy's former left-hand man and the ex-husband of Buddy's sister, Lisa. Remy's first and only child, daughter Isabella, was born on the Cake Boss episode "Mother's Day, Mama and Mom-to-be". He left the show after being arrested for alleged sexual assault.[34]
Salvatore "Sal" Picinich (1947[35] – January 30, 2011[36][37][38]) worked at the bakery from 1964 and was one of Buddy's most trusted employees. Picinich stopped appearing on the show at the end of 2009, when he began battling cancer, but returned in the summer of 2010 to accept the Employee of the Century Award on the occasion of the bakery's 100th anniversary. He died January 30, 2011.[37]
Kevin "Stretch" Krand – a delivery boy who left the shop to continue his education.[39]
Tony "Tone-Tone" Albanese – Buddy's second intern.[40]
Daniella Storzillo – a sculptor and decorator at Carlo's. She left to work as a real estate sales associate.[41]
Stephanie "Sunshine" Fernandez – top decorator at Carlo's. She was the first female employee who did not work with sales, as stated by Buddy Valastro. She left for an opportunity to finish nursing school nine months earlier.[42] Before leaving to become a nurse, she appeared on the show's spinoff, Next Great Baker, where she was chosen by the season 2 winner, Marissa Lopez, to help her build her American Dream cake.[43]
Dana Herbert – winner of Season 1 of Next Great Baker
Ashley Holt – winner of Season 3 of Next Great Baker
Paul Conti – bakery employee (former contestant of Season 3 of Next Great Baker); was only in a couple of episodes because he lost his house and his job due to Hurricane Sandy. He eventually got a job working for a baking supply company.
Anthony "Cousin Anthony" Bellifemine – baker and former delivery boy,[44] Bellifemine left unexpectedly at the end of season 10 (Ep. 12: Up, Up and Away).[45]
Chad Durkin – Bakery employee (former contestant of Season 3 of Next Great Baker, hired by Buddy for his pastry skills (seasons 7-8).

text: Reception[edit]

text: The popularity of the show has resulted in increased business for Carlo's Bake Shop, and increased tourism to the Hoboken area.[46] Due to the series's popularity, Carlo's Bake Shop has become a tourist attraction, with lines to enter the bakery often extending down the block and around the corner.[47] In 2010, Hoboken renamed the corner of Washington Street and Newark Street to "Carlo's Bakery Way" in honor of the bakery's centennial.[48]

text: Season one averaged 2.3 million viewers[49] while season two averaged 1.8 million viewers.[50] In 2016, a New York Times study of the 50 TV shows with the most Facebook Likes found that Cake Boss's "audience is generally not urban; in fact, one hot spot is Appalachia".[51]

text: Tie-ins and spinoffs[edit]

text: On November 2, 2010, Buddy Valastro's book, Cake Boss: Stories and Recipes from Mia Famiglia, which is based on the series, was released. Published by Atria Books (a division of Simon & Schuster) in celebration of the 100th anniversary of Carlo's Bake Shop, the book features the history and stories of Valastro's family and the bake shop, along with recipes.[24]

text: Valastro's second book, Baking with the Cake Boss: 100 of Buddy's Best Recipes and Decorating Secrets, is a cookbook, also published by Atria Books, released November 1, 2011 and featuring Valastro's cake, pastry and decorating recipes.[52]

text: The success of Cake Boss has led to a spin-off competition series hosted by Valastro, Next Great Baker, in which people compete to win a top cash prize, other valuable prizes, and an apprenticeship at Carlo's Bakery. The program's first season was seen on TLC December 6, 2010[53] through January 24, 2011,[5] with a second season televised November 28, 2011 to January 30, 2012. The competition's third season premiered on Monday, November 26, 2012.[54]

text: Another spinoff series, Kitchen Boss, debuted January 25, 2011. This series, which is seen weekdays, features Valastro presenting his family's recipes, as well as special guests, including members of his own family.[5]

text: A backdoor pilot special, Bakery Boss, debuted on May 27, 2013.[55] The special features Valastro traveling to a struggling bakery, Friendly's Bake Shop in Frankfort, New York, and helping them reverse their fortunes, using a format similar to Kitchen Nightmares.[6] The program returned to TLC as a series on December 2, 2013,[56] and was later renamed Buddy's Bakery Rescue. Buddy's intern, Ashley Holt, served as Culinary Producer for the series. Cake Boss also has a product line that features baking pans and decorating accessories.

text: Episodes and DVD releases[edit]

text:
Season
Episodes
Originally aired

First aired
Last aired

1
13
April 19, 2009 (2009-04-19)
August 17, 2009 (2009-08-17)

2
18
October 26, 2009 (2009-10-26)
February 22, 2010 (2010-02-22)

3
24
May 31, 2010 (2010-05-31)
November 29, 2010 (2010-11-29)

4
38
January 31, 2011 (2011-01-31)
January 30, 2012 (2012-01-30)

5
30
May 28, 2012 (2012-05-28)
February 18, 2013 (2013-02-18)

6
28
May 27, 2013 (2013-05-27)
February 24, 2014 (2014-02-24)

7
19
September 8, 2015 (2015-09-08)
November 17, 2015 (2015-11-17)

8
16
August 23, 2016 (2016-08-23)
January 11, 2017 (2017-01-11)

9
20
March 17, 2017 (2017-03-17)
September 20, 2017 (2017-09-20)

10
16
September 30, 2017 (2017-09-30)
TBA

text: As of September 8, 2015[update], a total of 152 episodes with seven seasons and 5 stand-alone specials have been broadcast. The first five seasons have been released on DVD in Region 1. Up until halfway into the fifth season, each episode title employed alliteration.

text: As of April 3, 2015[update], seasons 5 and 6 are available for streaming on Hulu Plus, using a re-edited intro sequence from the early seasons (with a few episodes showing the updated family pic from the dancing intro of seasons 5 and 6). As of 2015, Cake Boss has been renewed for an eighth season which expected to be released sometime in 2016.

text: Controversies[edit]

text: In July 2010, Masters Software, Inc., of Cedar Park, Texas, obtained a preliminary injunction forbidding TLC from calling its show "Cake Boss".[57] Since 2006, the company has operated the domain name cakeboss.com, and since 2007, it has sold a bakery management program called CakeBoss. The suit claims that Discovery Communications infringes on its trademark by causing confusion among customers and vendors.[58] In October 2010, Masters Software and Discovery Communications reached a settlement, the details of which are not public.[59][60]

text: On June 11, 2012, transgender celebrity Carmen Carrera appeared in a Cake Boss episode, "Bar Mitzvah, Beads & Oh Baby!", in which she unknowingly participated in a prank involving Cousin Anthony, who was set up with a date with Carrera. The punchline of the prank had Buddy tell Anthony that Carrera is transgender. Carrera agreed to participate in the prank on the program in part to promote equality for the transgender community saying, "I'm totally cool with a prank like this, I, you know as long as it's in good fun." Following the airing of the program, Carrera was upset by an interview portion of the program where Buddy said, "And I tell him...that's a man, baby!" Carrera made a statement saying, "I made it VERY clear to the producers on how to use the correct wording before agreeing to filming this but instead they chose to poke fun and be disrespectful. That's not what I'm about! ... I may not have been born a woman, but I'm NOT a man... After taking this journey it's not fair at all to be lied to by the producers." Buddy Valastro apologized for the incident, saying, "I owe an apology to the entire LGBT community. It was absolutely not my intention to upset or offend her, or anyone within the community, and I was wrong to use the words I did. I am a supporter of gay rights and equality, and while I regret this situation and my choice of words, I am thankful to have received this feedback and the opportunity to learn from this mistake. I hope that Carmen accepts my sincere regrets."[61] The following day, on June 12, 2012, TLC announced that "Bar Mitzvah, Beads & Oh Baby!" had been pulled from rotation indefinitely, with plans to re-edit the episode.[62] The episode has since re-aired on July 23, 2012, but with the offending scene re-edited.

text: In popular culture[edit]

text: Comedian Paul F. Tompkins plays a parody of Cake Boss host Buddy Valastro on the Comedy Bang Bang podcast and IFC TV show.[63]


document_title: Adidas Telstar 18

question_text: where is the world cup 2018 ball made

question_tokens: where is the world cup 2018 ball made

text: Adidas Telstar 18

text: Naming[edit]

text: The name of the ball was revealed on November 9, 2017 at the official presentation in Moscow by Lionel Messi, winner of the Golden Ball at the 2014 FIFA World Cup,[5][6] and attended by winners of the World Cup in different years: Zinedine Zidane, Kaká, Alessandro Del Piero, Xabi Alonso and Lukas Podolski.[7] The Telstar 18 pays homage to Adidas's first World Cup match ball, named the Telstar, which was itself named for its resemblance to the original Telstar communications satellite.[8] The word "Telstar" is a combination of the words "television" and "star."[9]

text: Design and manufacture[edit]

text: The original Telstar used in the 1970 FIFA World Cup was the first football to show a black and white pattern. This was done to ensure that television audiences would know where the ball was while games were in operation, due to many televisions at the time sporting a black and white screen (colour television was still rare in many parts of the world in this era).[10] Although the Telstar had 32 panels, the Telstar 18 has six textured panels. They are not stitched, but seamlessly glued together.[11]

text: The ball has an embedded near-field communication (NFC) chip. However, it is of no value to players, providing no information about their kicks or headers of the ball, although Adidas has provided this in a previous football. Consumers who purchase a Telstar 18 are able to connect to the chip using a smart phone to access content and information that is unique to that ball, personalized and localized, providing the consumer with interactivity themed on the upcoming World Cup competition.[9][12] Speed Sports manufactured Adidas Telstar 18

text: The Telstar 18 balls are manufactured in Pakistan and China.[13][14]

text: Criticism of performance[edit]

text: Although Adidas stated that the Telstar 18 was scientifically designed to be predictable in flight and was "the most perfect piece of equipment,"[15] international goalkeepers including Marc-André ter Stegen, Pepe Reina and David de Gea assessed prior to the tournament that the ball changed direction unpredictably and could be slippery due to the smooth coating and lack of seams.[16][17] Criticism of the Telstar 18's instability continued after several long-distance goals in early rounds of the World Cup.[18] According to news channel Russia 24, this was part of an intentional shift in the balance of the game.[19]

text: Further commentary on the ball's performance arose after two balls burst in a first-round game between Australia and France,[20] and another ball failed in the match between Argentina and Iceland.[21] A fourth Telstar 18 was found to have lost pressure in the match between Saudi Arabia and Uruguay on June 20.[14]

text: Telstar Mechta[edit]

text: At the end of the 2018 World Cup group stage, FIFA revealed a new design to be used in the knockout stage: the Telstar Mechta (Мечта). "Mechta" means dream or ambition in Russian.[22]

text: At the 2018 Russia–United States summit, Russian President Vladimir Putin gifted a Telstar Matcha to U.S. President Donald Trump. The ball, which included the standard chip and transmission devices, incited a political controversy within the U.S. over fears of spying.[23]