A090711 Primes whose base-11 expansion is a (valid) decimal expansion of a prime.

2, 3, 5, 7, 31, 47, 67, 73, 97, 163, 223, 227, 229, 271, 311, 317, 331, 397, 421, 443, 449, 557, 683, 727, 733, 773, 883, 953, 977, 991, 997, 1063, 1109, 1129, 1367, 1373, 1433, 1483, 1607, 1613, 1637, 1657, 1697, 1723, 1783, 1871, 1873, 1879, 2027, 2203, 2269

Offset: 1

Author

Cino Hilliard, Jan 18 2004

Keywords

• base
• nonn

Comments

See A091924 for the sequence whose definition works "the other way round": Actually, the base-11 representation of the terms of this sequence here. - M. F. Hasler, Jan 03 2014

Examples

			The prime p = 31 is written 29 in base 11, and 29 read in base 10 is again a prime. So 31 is a term.
		

Links

• Robert Price, Table of n, a(n) for n = 1..19838

Crossrefs

Cf. A090712.

Programs

Mathematica

b11pQ[n_]:=Module[{d=IntegerDigits[n,11]},Max[d]<10&&PrimeQ[FromDigits[ d]]]; Select[Prime[Range[400]],b11pQ] (* Harvey P. Dale, Apr 17 2018 *)

PARI

is(p,b=10,c=11)=vecmax(d=digits(p,c))M. F. Hasler, Jan 05 2014

Extensions

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