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A128004 Numbers n such that (38^n - 1)/37 is prime. 9

%I #24 Oct 17 2017 13:01:49

%S 3,7,401,449,109037

%N Numbers n such that (38^n - 1)/37 is prime.

%C No other terms < 100000. - _Robert Price_, Dec 23 2011

%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[(38^#-1)/37]&]

%o (PARI) is(n)=ispseudoprime((38^n-1)/37) \\ _Charles R Greathouse IV_, Feb 17 2017

%K hard,more,nonn

%O 1,1

%A _Alexander Adamchuk_, Feb 11 2007

%E a(5) corresponds to a probable prime discovered by _Paul Bourdelais_, Oct 17 2017

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