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Numbers k such that 301*2^k+1 is prime.
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%I #11 Dec 20 2024 10:49:08

%S 4,184,344,352,392,1060,2452,7360,9736,10324,21316,22752,27272,27744,

%T 28068,55628,72864,88472,95872,124628,218584,424448,517960,880792,

%U 1455620,3284232

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

%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[301*2^# + 1] &] (* _Robert Price_, Dec 30 2018 *)

%Y Cf. A002255, A050527.

%K nonn,hard,more

%O 1,1

%A _Robert Price_, Dec 30 2018

%E a(26) from _Jeppe Stig Nielsen_, Dec 20 2024