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A020896

Positive numbers n such that n = x^5 + y^5 has a solution in nonzero integers x, y.

+0
1

2, 31, 33, 64, 211, 242, 244, 275, 486, 781, 992, 1023, 1025, 1056, 1267, 2048, 2101, 2882, 3093, 3124, 3126, 3157, 3368, 4149, 4651, 6250, 6752, 7533, 7744, 7775, 7777, 7808, 8019, 8800, 9031, 10901, 13682, 15552, 15783, 15961, 16564 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`68101 = (15/2)^5 + (17/2)^5 is believed to be the smallest positive integer n which is the sum of two nonzero fifth powers of rational numbers but not the sum of two nonzero fifth powers of integers.`
	LINKS	`S. R. Finch, On a Generalized Fermat-Wiles Equation`
	EXAMPLE	`E.g. 31 = 2^5 + (-1)^5.`
	CROSSREFS	`Cf. A001481, A020897, A003336.` `Sequence in context: A117816 A099189 A053234 this_sequence A042153 A102630 A120638` `Adjacent sequences: A020893 A020894 A020895 this_sequence A020897 A020898 A020899`
	KEYWORD	`nonn,nice`
	AUTHOR	`Steven.Finch(AT)inria.fr (S. R. Finch)`

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.

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