A sequence not found in the OEIS: part 12

Sequence name: fifth powers which are the sum of two nonzero fourth powers.

32, 1419857, 33554432, 3707398432, 8587340257

Examples: a(1) = 32 = 2^5 = 2^4 + 2^4. a(2) = 1419857 = 17^5 = 17^4 + 34^4. a(3) = 33554432 = 32^5 = 64^4 + 64^4…

PS

Computation was performed by using Ruby and Java. And I welcome more terms.

PPS

See also here.

PPPS

You might find this sequence reminiscent of Beal’s conjecture.

Advertisements