id:A088017 - OEIS Search Results

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Numbers not expressible as sum or difference of a nonzero cube and a nonzero square.

+0
4

6, 14, 16, 21, 27, 29, 32, 34, 42, 46, 51, 58, 59, 62, 66, 69, 70, 75, 77, 78, 84, 85, 86, 88, 90, 93, 96, 102, 103, 110, 111, 114, 115, 123, 125, 130, 133, 137, 140, 144, 149, 157, 158, 160, 162, 165, 166, 173, 176, 178, 179, 181, 182, 183, 187, 194, 201, 202, 203 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Numbers n such that neither variant of Mordell's equation y^2=x^3+n (A054504) or y^2=x^3-n (A081121) has an integral solution with x notequal 0 and y notequal 0. Jack Brennen (jack(at)brennen.net) Aug 28 2003.`
	LINKS	`Eric Weisstein's World of Mathematics, Mordell Curve. Section in World of Mathematics.` `J. Gebel, Data on Mordell's curve`
	EXAMPLE	`16 is in the sequence because the only integral solution to Mordell's equation y^2 = x^3 +- 16 is (y=4,x=0). 49 is not in the sequence because it can also be expressed as 65^3-524^2.`
	CROSSREFS	`Cf. A054504, A081121, A087285, A087286.` `Sequence in context: A116926 A140330 A114634 this_sequence A108977 A156858 A032500` `Adjacent sequences: A088014 A088015 A088016 this_sequence A088018 A088019 A088020`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Sep 18 2003`

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.

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