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Numbers k such that 463*2^k+1 is prime.
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%I #13 Dec 18 2024 15:07:09

%S 6,8,30,62,96,118,222,332,472,528,1086,1388,1720,2110,2726,4120,9112,

%T 20120,24750,27512,39332,50832,64140,65668,86092,89190,109500,226710,

%U 353160,575902,728692,1122510,3671262

%N Numbers k such that 463*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[463*2^# + 1] &]

%K nonn,more,hard

%O 1,1

%A _Robert Price_, Jan 06 2019

%E a(33) from _Jeppe Stig Nielsen_, Dec 18 2024