A319742 Numbers k such that 345*2^k+1 is prime.

1, 2, 4, 8, 9, 11, 15, 18, 20, 24, 30, 40, 47, 87, 88, 150, 154, 166, 195, 264, 360, 412, 438, 546, 569, 621, 625, 778, 814, 1041, 1189, 1302, 1356, 1397, 1465, 1541, 1549, 1568, 3246, 6557, 6627, 9477, 10552, 12744, 13515, 14850, 15951, 18378, 18456, 27705

Offset

1,2

Links

Jeppe Stig Nielsen, Table of n, a(n) for n = 1..87 (n = 1..84 from Robert Price)

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

Mathematica

Select[Range[1000], PrimeQ[345*2^# + 1] &] (* Robert Price, Jan 01 2019 *)

Crossrefs

Sequence in context: A010459 A233999 A047350 * A190723 A010071 A035271

Adjacent sequences: A319739 A319740 A319741 * A319743 A319744 A319745

Keyword

nonn,hard

Author

Robert Price, Jan 01 2019

Status

approved