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

Author

Cino Hilliard, Jan 18 2004

Keywords

• base
• nonn

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

Examples

			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.
		

Links

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

Crossrefs

Cf. A090707 - A090721 and further references there.

Programs

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

Extensions

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