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A262832 {2,5}-primes (defined in Comments). 3
2, 11, 13, 41, 151, 173, 181, 191, 223, 233, 241, 313, 331, 421, 443, 463, 541, 563, 641, 701, 733, 743, 953, 1373, 1451, 1471, 1483, 1753, 1783, 1831, 1993, 2011, 2143, 2161, 2351, 2411, 2693, 3041, 3061, 3491, 3571, 3623, 3761, 3943, 4051, 4373, 4643, 4813 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Let S = {b(1), b(2), ..., b(k)}, where k > 1 and b(i) are distinct integers > 1 for j = 1..k. Call p an S-prime if the digits of p in base b(i) spell a prime in each of the bases b(j) in S, for i = 1..k. Equivalently, p is an S-prime if p is a strong-V prime (defined at A262729) for every permutation of the vector V = (b(1), b(2), ..., b(k)).

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

MATHEMATICA

{b1, b2} = {2, 5};

u = Select[Prime[Range[6000]], PrimeQ[FromDigits[IntegerDigits[#, b1], b2]] &]; (* A235475 *)

v = Select[Prime[Range[6000]], PrimeQ[FromDigits[IntegerDigits[#, b2], b1]] &]; (* A262831 *)

w = Intersection[u, v]; (* A262832 *)

(* Peter J. C. Moses, Sep 27 2015 *)

CROSSREFS

Cf. A000040, A262729, A235266, A262830.

Sequence in context: A084405 A041447 A291464 * A091021 A042563 A041163

Adjacent sequences:  A262829 A262830 A262831 * A262833 A262834 A262835

KEYWORD

nonn,easy,base

AUTHOR

Clark Kimberling, Oct 31 2015

STATUS

approved

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Last modified January 18 19:46 EST 2020. Contains 331030 sequences. (Running on oeis4.)