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A127998 Numbers n such that (24^n - 1)/23 is prime. 10

%I #28 Apr 13 2018 06:21:26

%S 3,5,19,53,71,653,661,10343,49307,115597,152783

%N Numbers n such that (24^n - 1)/23 is prime.

%C Note that 10343 was known to be a term of this sequence before 653 and 661. - _Alonso del Arte_, Mar 17 2014

%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 Henri 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[(24^# - 1)/23] &]

%o (PARI) isok(n) = isprime((24^n-1)/23); \\ _Michel Marcus_, Mar 13 2016

%K hard,more,nonn

%O 1,1

%A _Alexander Adamchuk_, Feb 11 2007

%E a(6) and a(7) from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 05 2008

%E a(8) from _Richard Fischer_ in 2004.

%E a(9) from _Robert Price_, Apr 18 2012

%E a(10) from _Paul Bourdelais_, Sep 12 2017

%E a(11) from _Paul Bourdelais_, Apr 09 2018

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Last modified April 25 05:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)