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Numbers k such that 179*2^k+1 is prime.
1

%I #36 Sep 08 2022 08:44:51

%S 1,3,11,15,19,35,39,51,63,111,113,163,419,633,665,1511,1903,2335,3063,

%T 3459,3623,3655,4519,7855,10219,13881,17063,20783,20833,39665,55711,

%U 91471,150905,165193,168715,172575,179171,429871,548291,623635,1082249,1224019

%N Numbers k such that 179*2^k+1 is prime.

%C The subsequence of prime values starts 3, 11, 19, 113, 163, 419, 1511, 3623, 4519, 55711, 548291, ... - _Muniru A Asiru_, Apr 28 2019

%H Jeppe Stig Nielsen, <a href="/A032466/b032466.txt">Table of n, a(n) for n = 1..44</a>

%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 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>

%p select(k->isprime(179*2^k+1),[$0..1000]); # _Muniru A Asiru_, Dec 18 2018

%t Select[Range[1000], PrimeQ[179*2^# + 1] & ] (* _Robert Price_, Dec 18 2018 *)

%o (PARI) is(n)=ispseudoprime(179*2^n+1) \\ _Charles R Greathouse IV_, Jun 13 2017

%o (Magma) [n: n in [1..5000] |IsPrime(179*2^n+1)]; // _Vincenzo Librandi_, Dec 19 2018

%K nonn,hard

%O 1,2

%A _N. J. A. Sloane_.

%E a(33)-a(43) from the Ray Ballinger and Wilfrid Keller link by _Robert Price_, Dec 18 2018

%E Term moved from Data section to b-file, and new term added to b-file, by _Jeppe Stig Nielsen_, Apr 04 2020