A323006 Numbers k such that 363*2^k+1 is prime.

1, 2, 5, 16, 29, 61, 136, 145, 157, 178, 560, 581, 1001, 1234, 1325, 1370, 1405, 1541, 2761, 2984, 5441, 6386, 9769, 10756, 14144, 18385, 26233, 27496, 42422, 48865, 72473, 115372, 123262, 123836, 229264, 359725, 401653, 484076, 611998, 762961, 1319756

Offset

1,2

Links

Jeppe Stig Nielsen, Table of n, a(n) for n = 1..46 (terms n = 1..43 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

Maple

select(k->isprime(363*2^k+1), [$1..1000]); # Muniru A Asiru, Jan 02 2019

Mathematica

Select[Range[1000], PrimeQ[363*2^# + 1] &] (* Robert Price, Jan 01 2019 *)

Crossrefs

Sequence in context: A137997 A213359 A328000 * A361257 A139022 A196025

Adjacent sequences: A323003 A323004 A323005 * A323007 A323008 A323009

Keyword

nonn,hard

Author

Robert Price, Jan 01 2019

Status

approved