A247099 Numbers which are the sum or difference of two fifth powers.

0, 1, 2, 31, 32, 33, 64, 211, 242, 243, 244, 275, 486, 781, 992, 1023, 1024, 1025, 1056, 1267, 2048, 2101, 2882, 3093, 3124, 3125, 3126, 3157, 3368, 4149, 4651, 6250, 6752, 7533, 7744, 7775, 7776, 7777, 7808, 8019, 8800, 9031, 10901, 13682, 15552, 15783, 15961

Offset: 1

Author

Charles R Greathouse IV, Nov 29 2014

Keywords

• nonn

Examples

			31 = 2^5 - 1^5, 32 = 2^5 + 0^5, 33 = 2^5 + 1^5.
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000584, A004842, A004831, A181124.

Programs

Mathematica

Union[Flatten[{Total[#],Abs[#[[2]]-#[[1]]]}&/@Tuples[Range[0,10]^5,2]]] (* Harvey P. Dale, Mar 30 2015 *)

PARI

T=thueinit('z^5+1);
is(n)=n==0 || #thue(T, n)>0

Formula

a(n) << n^(5/2). Can this be improved?