A002255 -id:A002255 - cp's OEIS frontend

A322951 Numbers k such that 319*2^k+1 is prime.

2, 10, 18, 274, 314, 522, 562, 578, 594, 602, 930, 1074, 23826, 184554, 1923378, 2248914, 2290722, 3069362

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

select(n->isprime(319*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[319*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(16)-a(17) from Jeppe Stig Nielsen, Feb 25 2020

a(18) from Jeppe Stig Nielsen, Dec 20 2024

A322952 Numbers k such that 321*2^k+1 is prime.

Original entry on oeis.org

1, 5, 32, 68, 109, 128, 133, 212, 241, 653, 776, 1339, 1787, 2659, 6388, 6547, 8365, 16699, 62861, 64795, 83227, 195376, 278875, 442480, 542876, 730321, 1168576, 1257859, 1629307, 4715725

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(321*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[321*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(30) from Jeppe Stig Nielsen, Dec 20 2024

A322954 Numbers k such that 323*2^k+1 is prime.

Original entry on oeis.org

1, 5, 145, 329, 381, 465, 3121, 4201, 4309, 12669, 13601, 17221, 33601, 41741, 46921, 65745, 80269, 384685, 1072285, 3482789

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(323*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[323*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(20) from Jeppe Stig Nielsen, Dec 20 2024

A322955 Numbers k such that 325*2^k+1 is prime.

Original entry on oeis.org

2, 14, 18, 32, 42, 72, 144, 174, 282, 318, 828, 1338, 2154, 2750, 4034, 9858, 13692, 49052, 63522, 86784, 117162, 126014, 273090, 302574, 413862, 901902, 3231474, 4097700

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(325*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[325*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(27)-a(28) from Jeppe Stig Nielsen, Dec 20 2024

A322956 Numbers k such that 327*2^k+1 is prime.

Original entry on oeis.org

3, 4, 6, 15, 30, 64, 99, 108, 135, 363, 414, 531, 576, 811, 1326, 1414, 1476, 1936, 2371, 3951, 4195, 13324, 21696, 23203, 35790, 46950, 51756, 55174, 61876, 92487, 134104, 691951, 706915, 1743751

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(327*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[327*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

A322958 Numbers k such that 331*2^k+1 is prime.

Original entry on oeis.org

4, 8, 12, 20, 28, 36, 120, 184, 200, 756, 788, 1304, 6412, 7848, 12944, 40116, 45056, 67520, 129172, 204592, 225568, 615116, 803668, 1646668, 2917844

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(331*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[331*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(25) from Jeppe Stig Nielsen, Dec 20 2024

A322959 Numbers k such that 333*2^k+1 is prime.

Original entry on oeis.org

5, 6, 9, 18, 25, 33, 50, 54, 69, 70, 101, 153, 176, 245, 401, 448, 745, 768, 806, 840, 1338, 1718, 3504, 4164, 5581, 5729, 6010, 6705, 8076, 10233, 12169, 13345, 55285, 58138, 113589, 197820, 203453, 238130, 364946, 817201, 1068320, 1708106, 1837105

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(333*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[333*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

A322960 Numbers k such that 335*2^k+1 is prime.

Original entry on oeis.org

19, 23, 29, 173, 263, 295, 659, 803, 1075, 1087, 1129, 1189, 3173, 4519, 16277, 44425, 67069, 103789, 151319, 189379, 323767, 356029, 409429, 528439, 1335337, 3266237

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(335*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[335*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(26) from Jeppe Stig Nielsen, Dec 20 2024

A322961 Numbers k such that 337*2^k+1 is prime.

Original entry on oeis.org

4, 6, 10, 26, 64, 66, 70, 102, 322, 370, 570, 1750, 1782, 1974, 2482, 6886, 7782, 9784, 20476, 34826, 37546, 46566, 47800, 132962, 184230, 257930, 286554, 370274, 544852, 648856, 2585660, 2750860, 3274106

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(337*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[337*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(31)-a(32) from Jeppe Stig Nielsen, Dec 27 2019

a(33) from Jeppe Stig Nielsen, Dec 20 2024

A322962 Numbers k such that 339*2^k+1 is prime.

Original entry on oeis.org

3, 11, 17, 21, 26, 50, 62, 125, 165, 278, 290, 1227, 1275, 1325, 2153, 2450, 2811, 3327, 5921, 6321, 7095, 8657, 8786, 9687, 12221, 14163, 30686, 63975, 73767, 132551, 356991, 364797, 442065, 464483, 559637, 632297, 972755, 1685135, 2408337, 3974295, 4592225

Offset: 1

Robert Price, Dec 31 2018

Ray Ballinger, Proth Search Page
Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600
Y. Gallot, Proth.exe: Windows Program for Finding Large Primes
Wilfrid Keller, List of primes k.2^n - 1 for k < 300
Eric Weisstein's World of Mathematics, Proth Prime
Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Cf. A002255, A050527.

select(n->isprime(339*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[339*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(39) from Jeppe Stig Nielsen, Jan 04 2020

a(40)-a(41) from Jeppe Stig Nielsen, Dec 20 2024

cp's OEIS Frontend

A322951 Numbers k such that 319*2^k+1 is prime.

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A322952 Numbers k such that 321*2^k+1 is prime.

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A322954 Numbers k such that 323*2^k+1 is prime.

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A322955 Numbers k such that 325*2^k+1 is prime.

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A322956 Numbers k such that 327*2^k+1 is prime.

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A322958 Numbers k such that 331*2^k+1 is prime.

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Maple

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A322959 Numbers k such that 333*2^k+1 is prime.

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Maple

Mathematica

A322960 Numbers k such that 335*2^k+1 is prime.

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Programs

Maple

Mathematica

Extensions

A322961 Numbers k such that 337*2^k+1 is prime.