A164064 Prime p2 of the sequence A164063: a^b - c^d = p1 (A164063), where a, b, c, d are primes and a + b + c + d = p2, where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime (A164065).

17, 11, 47, 43, 53, 29, 29

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: A166524 A106791 A040274 * A369490 A279232 A073887

Adjacent sequences: A164061 A164062 A164063 * A164065 A164066 A164067

Keyword

nonn,base

Author

Oleg Zyakun, Aug 12 2009

Status

approved