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A322916 Numbers k such that 303*2^k+1 is prime. 1

%I #25 Jan 04 2020 08:11:25

%S 1,2,5,8,9,10,13,17,21,30,38,93,125,140,170,178,181,394,453,588,1161,

%T 1221,1573,1665,1745,3613,3661,5750,6002,6198,6393,6764,7209,7514,

%U 9444,13034,15277,16070,20042,22970,22977,25674,28438,31040,35137,42410,60285

%N Numbers k such that 303*2^k+1 is prime.

%H Jeppe Stig Nielsen, <a href="/A322916/b322916.txt">Table of n, a(n) for n = 1..72</a> (terms n = 1..68 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>

%p select(n->isprime(303*2^n+1),[$1..1000]); # _Muniru A Asiru_, Dec 31 2018

%t Select[Range[1000], PrimeQ[303*2^# + 1] &] (* _Robert Price_, Dec 30 2018 *)

%Y Cf. A002255, A050527.

%K nonn,hard

%O 1,2

%A _Robert Price_, Dec 30 2018

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Last modified May 8 11:33 EDT 2024. Contains 372332 sequences. (Running on oeis4.)