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Numbers k such that 351*2^k+1 is prime.
1

%I #17 Dec 20 2024 08:57:04

%S 12,13,15,31,36,45,53,123,153,155,172,223,247,269,287,353,1416,2601,

%T 3525,3833,4709,5533,6091,6163,7545,7879,10995,11036,12361,12953,

%U 13132,13252,19885,20108,22891,28795,33195,34213,39372,46689,57273,62733,66492,68291

%N Numbers k such that 351*2^k+1 is prime.

%H Jeppe Stig Nielsen, <a href="/A323032/b323032.txt">Table of n, a(n) for n = 1..66</a> (terms n = 1..64 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(k->isprime(351*2^k+1),[$1..1000]); # _Muniru A Asiru_, Jan 02 2019

%t Select[Range[1000], PrimeQ[351*2^# + 1] &]

%K nonn,hard

%O 1,1

%A _Robert Price_, Jan 02 2019