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A090712
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Primes p with property that if p = d_1 d_2 ... d_k when written in base 13, then the string d_1 d_2 ... d_k is again a prime in base 10.
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1
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2, 3, 5, 7, 29, 53, 59, 79, 107, 113, 241, 263, 269, 293, 367, 373, 419, 443, 521, 523, 547, 601, 607, 631, 677, 757, 761, 787, 937, 971, 1021, 1069, 1093, 1231, 1249, 1277, 1307, 1361, 1381, 1433, 1459, 1543, 1567, 1613, 1619, 2213, 2237, 2239, 2447, 2477
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 41 is a decimal prime. Converting 41 base 13 to base 10 produces 53 which is a decimal prime. So 53 is a member.
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MATHEMATICA
| f[n_]:=Module[{c13=FromDigits[IntegerDigits[n], 13]}, If[PrimeQ[c13], c13, 0]]; Select[f/@Prime[Range[500]], #!=0&] (* From Harvey P. Dale, June 20 2011 *)
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CROSSREFS
| Sequence in context: A069108 A156604 A046864 * A082257 A054750 A048404
Adjacent sequences: A090709 A090710 A090711 * A090713 A090714 A090715
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KEYWORD
| base,nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Jan 18 2004
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Feb 07 2007
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