A079906 Numbers k such that 5*6^k - 1 is prime.

1, 2, 6, 7, 11, 23, 33, 48, 68, 79, 116, 151, 205, 1016, 1332, 1448, 3481, 3566, 3665, 11233, 13363, 29166, 44358, 58530, 191706, 386450, 605168, 616879, 1204077

Offset

1,2

Comments

a(29) > 618000. - Karsten Bonath, Nov 04 2019

References

R. K. Guy, Unsolved Problems in Theory of Numbers, Section A3.

Links

Table of n, a(n) for n=1..29.

H. C. Williams, The primality of certain integers of the form 2Ar^n - 1, Acta Arith. 39 (1981), 7-17.

Mathematica

Do[ If[ PrimeQ[5*6^n - 1], Print[n]], {n, 1, 5000}]

Prog

(PARI) for(n=1, 2000, if(isprime(5*6^n-1), print1(n, ", ")))

Crossrefs

Cf. A003307, A002235, A046865, A046866, A001771, A005541, A056725, A046867, A079907, A247260.

Sequence in context: A241720 A224082 A051678 * A226814 A233419 A189327

Adjacent sequences: A079903 A079904 A079905 * A079907 A079908 A079909

Keyword

nonn,hard,more

Author

Robert G. Wilson v, Jan 16 2003

Extensions

a(20)-a(24) from Donovan Johnson, Nov 26 2008

a(25) from Robert Price, Jan 23 2016

a(26) from Karsten Bonath, Jul 01 2019

a(27) from Karsten Bonath, Oct 29 2019

a(28) from Karsten Bonath, Nov 04 2019

a(29) from Ryan Propper, Nov 21 2023

Status

approved