A050527 -id:A050527 - cp's OEIS frontend

A322915 Numbers k such that 301*2^k+1 is prime.

4, 184, 344, 352, 392, 1060, 2452, 7360, 9736, 10324, 21316, 22752, 27272, 27744, 28068, 55628, 72864, 88472, 95872, 124628, 218584, 424448, 517960, 880792, 1455620, 3284232

Offset: 1

Robert Price, Dec 30 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[Range[1000], PrimeQ[301*2^# + 1] &] (* Robert Price, Dec 30 2018 *)

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

A322922 Numbers k such that 305*2^k+1 is prime.

Original entry on oeis.org

3, 7, 21, 23, 29, 35, 53, 87, 91, 95, 115, 165, 179, 233, 367, 419, 609, 791, 2937, 3713, 4087, 5071, 6497, 30011, 30783, 32861, 48299, 60155, 143623, 293525, 465959, 567161, 975215, 1024223, 1106333, 1285643, 1597089, 2233655, 2733989, 2840155, 3171039

Offset: 1

Robert Price, Dec 30 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[Range[1000], PrimeQ[305*2^# + 1] &] (* Robert Price, Dec 30 2018 *)

a(38)-a(39) from Jeppe Stig Nielsen, Dec 27 2019
a(40) from Jeppe Stig Nielsen, Feb 05 2020
a(41) from Jeppe Stig Nielsen, Dec 20 2024

A322945 Numbers k such that 307*2^k+1 is prime.

Original entry on oeis.org

2, 8, 16, 26, 34, 112, 182, 226, 304, 782, 6886, 36422, 647786, 1289306, 2862962

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[Range[1000], PrimeQ[307*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(15) from Jeppe Stig Nielsen, May 30 2020

A322946 Numbers k such that 311*2^k+1 is prime.

Original entry on oeis.org

9, 29, 35, 105, 125, 131, 179, 359, 2735, 28199, 47349, 64485, 1094135, 1171199, 1323071, 2798459, 3037565, 3270759, 3282455

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[Range[1000], PrimeQ[311*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(16) from Jeppe Stig Nielsen, Dec 27 2019

a(17)-a(20) from Jeppe Stig Nielsen, Dec 20 2024

A322948 Numbers k such that 313*2^k+1 is prime.

Original entry on oeis.org

4, 10, 16, 24, 70, 184, 250, 432, 460, 792, 8482, 9868, 10954, 14098, 16260, 17770, 19354, 81504, 85672, 158662, 166354, 188914, 327924, 337942, 424318, 519748, 621432, 888288, 1949544, 3716716, 3837304, 3869536

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(313*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018

Select[Range[1000], PrimeQ[313*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

a(30)-a(32) from Jeppe Stig Nielsen, Dec 20 2024

A322950 Numbers k such that 317*2^k+1 is prime.

Original entry on oeis.org

7, 11, 243, 291, 327, 1211, 7331, 26775, 101603, 171071, 284795, 295195, 323871, 589755, 833467, 1047471

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[Range[1000], PrimeQ[317*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

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

Original entry on oeis.org

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

Cf. A002255, A050527.

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

cp's OEIS Frontend

A322915 Numbers k such that 301*2^k+1 is prime.

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A322922 Numbers k such that 305*2^k+1 is prime.

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A322945 Numbers k such that 307*2^k+1 is prime.

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A322946 Numbers k such that 311*2^k+1 is prime.

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A322948 Numbers k such that 313*2^k+1 is prime.

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A322950 Numbers k such that 317*2^k+1 is prime.

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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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Maple

Mathematica

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

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