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A057183 Numbers n such that (17^n + 1)/18 is a prime. 16

%I #32 Aug 20 2021 10:01:18

%S 7,17,23,47,967,6653,8297,41221,113621,233689,348259

%N Numbers n such that (17^n + 1)/18 is a prime.

%H Paul Bourdelais, <a href="https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;417ab0d6.0906">A Generalized Repunit Conjecture</a>

%H J. Brillhart et al., <a href="http://dx.doi.org/10.1090/conm/022">Factorizations of b^n +- 1</a>, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.

%H H. Dubner and T. Granlund, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL3/DUBNER/dubner.html">Primes of the Form (b^n+1)/(b+1)</a>, J. Integer Sequences, 3 (2000), #P00.2.7.

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

%o (Prime95) PRP=1,17,348259,1,0,0,"18"

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Sep 15 2000

%E a(8)=41221 corresponds to a probable prime discovered by _Paul Bourdelais_, Mar 18 2010

%E a(9)=113621 corresponds to a probable prime discovered by _Paul Bourdelais_, Sep 21 2011

%E a(10)=233689 corresponds to a probable prime discovered by _Paul Bourdelais_, Sep 03 2013

%E a(11)=348259 corresponds to a probable prime discovered by _Paul Bourdelais_, May 22 2014

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Last modified April 25 10:22 EDT 2024. Contains 371967 sequences. (Running on oeis4.)