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A032409 Numbers k such that 119*2^k + 1 is prime. 0

%I #42 Jan 18 2022 10:33:35

%S 1,3,7,13,21,23,45,63,553,1115,2471,2773,7363,25767,26265,32445,41291,

%T 55583,113637,376951,787017,858427,915371,1242207,1759247,3161195

%N Numbers k such that 119*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/riesel1.html">List of primes k.2^n + 1 for k < 300</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 <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>

%t Select[Range[1000], PrimeQ[119*2^# + 1] & ] (* _Robert Price_, Dec 17 2018 *)

%o (PARI) is(n)=ispseudoprime(119*2^n+1) \\ _Charles R Greathouse IV_, Jun 13 2017

%K nonn,more

%O 1,2

%A _James R. Buddenhagen_

%E Extended by _Hugo Pfoertner_, Jul 02 2003

%E a(20)-a(25) from the Ray Ballinger and Wilfrid Keller link by _Robert Price_, Dec 17 2018

%E a(26) from _Jeppe Stig Nielsen_, Jan 15 2022

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)