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Numbers k such that 347*2^k+1 is prime.
1

%I #15 Dec 20 2024 08:51:52

%S 3,7,15,23,27,175,259,391,607,679,863,927,999,1339,1371,1555,2103,

%T 2151,2715,5619,6411,7055,12927,19015,26095,42523,45719,55519,70971,

%U 87663,176007,243391,287083,544887,696327,902995,1041223,1061675,1218211,1355595

%N Numbers k such that 347*2^k+1 is prime.

%H Jeppe Stig Nielsen, <a href="/A322971/b322971.txt">Table of n, a(n) for n = 1..44</a> (terms n = 1..42 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(347*2^k+1),[$1..1000]); # _Muniru A Asiru_, Jan 02 2019

%t Select[Range[1000], PrimeQ[347*2^# + 1] &] (* _Robert Price_, Jan 01 2019 *)

%K nonn,hard

%O 1,1

%A _Robert Price_, Jan 01 2019