A164061 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 (A164062) is also prime.

2, 3, 5, 19, 139, 149, 311, 6827, 7949, 27743, 29663, 29759, 31249, 101281, 124213, 130729, 135271, 169691, 177019, 361967, 508009, 568439, 815351

Offset

1,1

Links

Table of n, a(n) for n=1..23.

Example

3^3 - 5^2 = 2, 3 + 3 + 5 + 2 = 13; 2^7 - 5^3 = 3, 2 + 7 + 5 + 3 = 17; 2^5 - 3^3 = 5, 2 + 5 + 3 + 3 = 13; 3^3 - 2^3 = 19, 3 + 3 + 2 + 3 = 11;

Crossrefs

Sequence in context: A235637 A028490 A004064 * A128363 A106047 A048826

Adjacent sequences: A164058 A164059 A164060 * A164062 A164063 A164064

Keyword

nonn

Author

Oleg Zyakun, Aug 12 2009

Status

approved