A323150 - OEIS

%I #7 Jan 06 2019 04:11:08

%S 1,5,9,33,45,245,401,565,289073,291693,1189865

%N Numbers k such that 443*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(k->isprime(443*2^k+1),[$1..1000]); # _Muniru A Asiru_, Jan 05 2019

%t Select[Range[1000], PrimeQ[443*2^# + 1] &]

%K nonn,more,hard

%O 1,2

%A _Robert Price_, Jan 05 2019