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A322922 Numbers k such that 305*2^k+1 is prime. 0

%I #18 Feb 05 2020 08:26:12

%S 3,7,21,23,29,35,53,87,91,95,115,165,179,233,367,419,609,791,2937,

%T 3713,4087,5071,6497,30011,30783,32861,48299,60155,143623,293525,

%U 465959,567161,975215,1024223,1106333,1285643,1597089,2233655,2733989,2840155

%N Numbers k such that 305*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[305*2^# + 1] &] (* _Robert Price_, Dec 30 2018 *)

%Y Cf. A002255, A050527.

%K nonn,more,hard

%O 1,1

%A _Robert Price_, Dec 30 2018

%E a(38)-a(39) from _Jeppe Stig Nielsen_, Dec 27 2019

%E a(40) from _Jeppe Stig Nielsen_, Feb 05 2020

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Last modified April 23 12:27 EDT 2024. Contains 371912 sequences. (Running on oeis4.)