

A164063


Prime p1 of the form a^b  c^d = p1, where a, b, c, d are primes and a + b + c + d = p2, where p2 (A164064) is prime and conc(abcd) = p3 (concatenation of a, b, c, d) is also prime (A164065).


2




OFFSET

1,1


LINKS

Table of n, a(n) for n=1..7.


EXAMPLE

2^7  5^3 = 3, 2 + 7 + 5 + 3 = 17, conc (abcd) = 2753; 3^3  2^3 = 19, 3 + 3 + 2 + 3 = 11, conc (abcd) = 3323; 31^3  2^11 = 27743, 31 + 3 + 2 + 11 = 47, conc (abcd) = 313211; 31^3  2^7 = 29663, 31 + 3 + 2 + 7 = 43, conc (abcd) = 31327;


CROSSREFS

Sequence in context: A120563 A182344 A191623 * A092828 A117844 A260371
Adjacent sequences: A164060 A164061 A164062 * A164064 A164065 A164066


KEYWORD

nonn,base


AUTHOR

Oleg Zyakun, Aug 12 2009


STATUS

approved



