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A164075 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 (A164076) is also prime. 1
29, 53, 59, 173, 251, 293, 1373, 1459, 2213, 3253, 4493, 5333, 8317, 9413, 10613, 20359, 24517, 27893, 37253, 54293, 76733, 78157, 94253, 103951, 120413, 139133, 169243, 205507, 253013, 351653, 366103, 368453, 375773, 458333, 524413, 548677 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..36.

EXAMPLE

2^2 + 5^2 = 29, 2 + 2 + 5 + 2 = 11; 2^2 + 7^2 = 53, 2 + 2 + 7 + 2 = 13; 2^5 + 3^3 = 59, 2 + 5 + 3 + 3 = 13; 2^2 + 13^2 = 173, 2 + 2 + 13 + 2 = 19;

CROSSREFS

Sequence in context: A228585 A042947 A134555 * A117328 A274227 A230027

Adjacent sequences: A164072 A164073 A164074 * A164076 A164077 A164078

KEYWORD

nonn

AUTHOR

Oleg Zyakun, Aug 12 2009

STATUS

approved

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Last modified November 29 08:47 EST 2022. Contains 358422 sequences. (Running on oeis4.)