A319742 - OEIS

%I #49 Dec 20 2024 10:04:15

%S 1,2,4,8,9,11,15,18,20,24,30,40,47,87,88,150,154,166,195,264,360,412,

%T 438,546,569,621,625,778,814,1041,1189,1302,1356,1397,1465,1541,1549,

%U 1568,3246,6557,6627,9477,10552,12744,13515,14850,15951,18378,18456,27705

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

%H Jeppe Stig Nielsen, <a href="/A319742/b319742.txt">Table of n, a(n) for n = 1..92</a> (n = 1..84 from Robert Price)

%H Ray Ballinger, <a href="http://www.prothsearch.com/index.html">Proth Search Page</a>

%H Ray Ballinger and Wilfrid Keller, <a href="http://www.prothsearch.com/riesel1a.html">List of primes k.2^n + 1 for 300 < k < 600</a>

%H Y. Gallot, <a href="http://www.utm.edu/research/primes/programs/gallot/index.html">Proth.exe: Windows Program for Finding Large Primes</a>

%H Wilfrid Keller, <a href="http://www.prothsearch.com/riesel2.html">List of primes k.2^n - 1 for k < 300</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ProthPrime.html">Proth Prime</a>

%H <a href="/index/Pri#riesel">Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime</a>

%t Select[Range[1000], PrimeQ[345*2^# + 1] &] (* _Robert Price_, Jan 01 2019 *)

%K nonn,hard

%O 1,2

%A _Robert Price_, Jan 01 2019