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.

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

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