A132216 - OEIS

%I #5 Aug 31 2013 19:33:47

%S 815730977,124097929967680577,6115597639891380737,

%T 144086718355753024097,524320466699664691937,3377940044732998170977,

%U 10094089678769799935777,30706777728209453204417,58310148000746221725857

%N Primes that are sums of eighth powers of two distinct primes.

%C These primes exist because the polynomial x^8 + y^8 is irreducible over Z. Note that 2^8 + n^8 can be prime for composite n beginning 21, 55, 69, 77, 87, 117.

%F Primes in A132215. {A001016(A000040(i)) + A001016(A000040(j)) for i > j and are elements of A000040}.

%e a(1) = 2^8 + 13^8 = 256 + 815730721 = 815730977, which is prime.

%e a(2) = 2^8 + 137^8 = 124097929967680577, which is prime.

%e a(3) = 2^8 + 223^8 = 6115597639891380737, which is prime.

%e a(4) = 2^8 + 331^8 = 144086718355753024097, which is prime.

%e a(5) = 2^8 + 389^8 = 524320466699664691937, which is prime.

%e a(6) = 2^8 + 491^8 = 3377940044732998170977, which is prime.

%e a(7) = 2^8 + 563^8 = 10094089678769799935777, which is prime.

%Y Cf. A000040, A001016, A050997, A120398, A122616, A130873, A130555, A132214, A132215.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, Aug 13 2007

%E More terms from _Jon E. Schoenfield_, Jul 16 2010