A057177 Numbers n such that (11^n + 1)/12 is a prime.
5, 7, 179, 229, 439, 557, 6113, 223999, 327001, 2264611
Offset: 1
Keywords
Links
- Paul Bourdelais, A Generalized Repunit Conjecture
- J. Brillhart et al., Factorizations of b^n +- 1, Contemporary Mathematics, Vol. 22, Amer. Math. Soc., Providence, RI, 3rd edition, 2002.
- H. Dubner and T. Granlund, Primes of the Form (b^n+1)/(b+1), J. Integer Sequences, 3 (2000), #P00.2.7.
- H. Lifchitz, Mersenne and Fermat primes field
- Eric Weisstein's World of Mathematics, Repunit
Programs
-
Mathematica
lst={};Do[p=(11^n+1)/12;If[PrimeQ[p], AppendTo[lst, n]], {n, 7!}];lst (* Vladimir Joseph Stephan Orlovsky, Sep 29 2008 *)
Extensions
a(8) corresponds to a probable prime discovered by Paul Bourdelais, Feb 12 2010
a(9) corresponds to a probable prime discovered by Paul Bourdelais, Sep 30 2013
a(10) by Paul Bourdelais, Jul 19 2021