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A262829 (3,2)-primes (defined in Comments). 8
2, 3, 7, 13, 31, 37, 43, 67, 79, 151, 157, 181, 193, 223, 241, 271, 283, 307, 331, 349, 373, 397, 409, 421, 433, 463, 499, 571, 613, 619, 631, 643, 661, 673, 691, 733, 757, 769, 787, 829, 853, 877, 937, 997, 1009, 1093, 1123, 1129, 1153, 1201, 1213, 1231 (list; graph; refs; listen; history; text; internal format)
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} = {2, 3};
u = Select[Prime[Range[6000]], PrimeQ[FromDigits[IntegerDigits[#, b1], b2]] &]; (* A235266 *)
v = Select[Prime[Range[6000]], PrimeQ[FromDigits[IntegerDigits[#, b2], b1]] &]; (* A262829 *)
w = Intersection[u, v]; (* A262830 *)
(* Peter J. C. Moses, Sep 27 2015 *)
CROSSREFS
Sequence in context: A070218 A048456 A333313 * A071899 A242389 A102644
KEYWORD
nonn,easy,base
AUTHOR
Clark Kimberling, Oct 24 2015
STATUS
approved

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Last modified May 29 10:24 EDT 2024. Contains 372938 sequences. (Running on oeis4.)