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A262835
(5,3)-primes (defined in Comments).
2
2, 3, 5, 7, 11, 17, 19, 29, 31, 37, 41, 47, 67, 71, 79, 89, 97, 101, 107, 109, 127, 131, 139, 149, 151, 157, 167, 197, 199, 211, 229, 239, 241, 257, 269, 271, 281, 311, 317, 337, 349, 359, 367, 409, 419, 421, 431, 439, 457, 491, 541, 547, 557, 569, 571, 577
OFFSET
1,1
COMMENTS
Let V = (b(1), b(2), ..., b(k)), where k > 1 and b(i) are distinct integers > 1 for j = 1..k. Call p a V-prime if the digits of p in base b(1) spell a prime in each of the bases b(2), ..., b(k).
LINKS
MATHEMATICA
{b1, b2} = {3, 5};
u = Select[Prime[Range[6000]], PrimeQ[FromDigits[IntegerDigits[#, b1], b2]] &]; (* A231474 *)
v = Select[Prime[Range[6000]], PrimeQ[FromDigits[IntegerDigits[#, b2], b1]] &]; (* A262835 *)
w = Intersection[u, v]; (* A262836 *)
(* Peter J. C. Moses, Sep 27 2015 *)
CROSSREFS
KEYWORD
nonn,easy,base
AUTHOR
Clark Kimberling, Nov 05 2015
STATUS
approved