A098110 Smallest number that is the difference between two positive cubes in n ways.

7, 721, 3367, 4118877, 1412774811, 424910390480793

Offset: 1

Author

Jeff Burch, Sep 23 2004

Keywords

• nonn
• hard
• more

Comments

a(7) <= 15490327057569000, a(8) <= 123922616460552000. - Giovanni Resta, Mar 19 2020

Examples

			Pairs (x, y) such that x^3 - y^3 = a(1), ..., a(6):
7 = (2, 1);
721 = (16, 15), (9, 2);
3367 = (34, 33), (16, 9), (15, 2)l
4118877 = (162, 51), (165, 72), (178, 115), (678, 675);
1412774811 = (1134, 357), (1155, 504), (1246, 805), (2115, 2004), (4746, 4725);
424910390480793 = (596001, 595602), (317982, 316575), (141705, 134268), (83482, 53935), (77385, 33768), (75978, 23919).
		

Crossrefs

Cf. A014439, A014440, A014441, A181123, A034179, A265625, A333376, A333377.

Cf. A011541,A047696.

Extensions

a(6) from Giovanni Resta, Mar 19 2020