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
Keywords
Examples
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;