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Numbers n such that (33^n - 1)/32 is prime.
1

%I #21 Jan 01 2019 07:02:09

%S 3,197,3581,6871,183661

%N Numbers n such that (33^n - 1)/32 is prime.

%H H. Dubner, <a href="http://dx.doi.org/10.1090/S0025-5718-1993-1185243-9">Generalized repunit primes</a>, Math. Comp., 61 (1993), 927-930.

%H H. Lifchitz, <a href="http://www.primenumbers.net/Henri/us/MersFermus.htm">Mersenne and Fermat primes field</a>

%H <a href="/index/Pri#primepop">Index to primes in various ranges</a>, form ((k+1)^n-1)/k

%t Select[Prime[Range[100]], PrimeQ[(33^#-1)/32]&]

%o (PARI) isok(n) = isprime((33^n-1)/32); \\ _Michel Marcus_, Mar 13 2016

%K hard,more,nonn

%O 1,1

%A _Robert Price_, Mar 05 2012

%E a(5) corresponds to a probable prime discovered by _Paul Bourdelais_, Dec 31 2018