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

1,3

Links

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

Formula

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A000584, A004842, A004831, A181124.

Sequence in context: A117816 A237263 A099189 * A053234 A020896 A042153

Adjacent sequences: A247096 A247097 A247098 * A247100 A247101 A247102

Keyword

nonn

Author

Charles R Greathouse IV, Nov 29 2014

Status

approved