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A235625 Primes whose base 5 representation is also the base 6 representation of a prime. 1
2, 3, 11, 31, 71, 131, 191, 211, 241, 251, 271, 331, 421, 431, 461, 491, 541, 601, 631, 811, 821, 911, 971, 1031, 1051, 1061, 1171, 1181, 1201, 1231, 1291, 1321, 13, 61, 1451, 1511, 1531, 1571, 1601, 1721, 1801, 1811, 1831, 1861, 1931, 2081, 2111, 2131, 2141, 2311, 2341, 2381, 2411, 2521, 2531, 2711, 2741, 2801 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence is part of a two dimensional array of sequences, given in the LINK, based on this same idea for any two different bases b, c > 1. Sequence A235265 and A235266 are the most elementary ones in this list. Sequences A089971, A089981 and A090707 through A090721, and sequences A065720 - A065727, follow the same idea with one base equal to 10.

LINKS

Table of n, a(n) for n=1..58.

M. F. Hasler, Primes whose base c expansion is also the base b expansion of a prime

EXAMPLE

E.g., 11 = 21[5] and 21[6] = 13 both are prime.

PROG

(PARI) is(p, b=6, c=5)=isprime(vector(#d=digits(p, c), i, b^(#d-i))*d~)&&isprime(p) \\ NB: This code is only valid for b>c.

CROSSREFS

Cf. A235626, A235265, A235266, A152079, A235461 - A235482, A065720 - A065727, A235394, A235395, A089971A020449, A089981, A090707 - A091924, A235615 - A235639. See the LINK for further cross-references.

Sequence in context: A142957 A191058 A080155 * A032357 A144056 A268687

Adjacent sequences:  A235622 A235623 A235624 * A235626 A235627 A235628

KEYWORD

nonn,base

AUTHOR

M. F. Hasler, Jan 13 2014

STATUS

approved

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Last modified October 17 16:18 EDT 2018. Contains 316285 sequences. (Running on oeis4.)