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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. 1
2, 3, 5, 19, 139, 149, 311, 6827, 7949, 27743, 29663, 29759, 31249, 101281, 124213, 130729, 135271, 169691, 177019, 361967, 508009, 568439, 815351 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)