A090713 Primes whose base-17 expansion is a (valid) decimal expansion of a prime.

2, 3, 5, 7, 37, 43, 71, 103, 109, 139, 347, 349, 443, 449, 619, 647, 683, 887, 919, 1259, 1571, 1601, 1607, 1741, 1873, 2083, 2347, 2417, 2659, 2689, 4933, 4967, 4973, 4999, 5651, 5783, 5821, 6163, 6673, 6803, 6971, 7079, 7243, 7351, 7591

Offset

1,1

Comments

See A235126 for the corresponding primes whose base-10 representation is the base-17 representation of the terms here. - M. F. Hasler, Jan 05 2014

Links

Robert Price, Table of n, a(n) for n = 1..3754

Example

The prime p = 37 is written 23 in base 17, and 23 is again a prime (when interpreted in base 10). Therefore p = 37 is a term of this sequence.

Prog

(PARI) is_A090713(p)=vecmax(d=digits(p, 17))<10&&isprime(vector(#d, i, 10^(#d-i))*d~)&&isprime(p) \\ - M. F. Hasler, Jan 05 2014

Crossrefs

Cf. A090707 - A090721 and further references there.

Sequence in context: A048415 A029974 A065727 * A090912 A048416 A048401

Adjacent sequences: A090710 A090711 A090712 * A090714 A090715 A090716

Keyword

base,nonn

Author

Cino Hilliard, Jan 18 2004

Extensions

Edited by N. J. A. Sloane, Feb 07 2007, and by M. F. Hasler, Jan 03 2014

Status

approved