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Numbers k such that 329*2^k+1 is prime.
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%I #13 Jan 04 2020 16:31:55

%S 1,3,5,9,11,15,27,55,87,105,111,163,225,311,487,537,723,735,771,1515,

%T 1599,4685,5523,5895,9723,20107,55035,66355,108393,181189,455645,

%U 604999,623005,829207,1019093,1246017,2099771,2163717,2266631,2348105,2688221

%N Numbers k such that 329*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>

%p select(n->isprime(329*2^n+1),[$1..1000]); # _Muniru A Asiru_, Dec 31 2018

%t Select[Range[1000], PrimeQ[329*2^# + 1] &] (* _Robert Price_, Dec 31 2018 *)

%Y Cf. A002255, A050527.

%K nonn,hard

%O 1,2

%A _Robert Price_, Dec 31 2018

%E a(37)-a(41) from _Jeppe Stig Nielsen_, Jan 04 2020