

A179419


Numbers n such that Mordell elliptic curve y^2=x^3n has a number of integral points that is both odd and > 1.


1



216, 343, 1331, 12167, 13824, 17576, 21952, 29791, 54872, 74088, 85184, 103823, 157464, 166375, 226981, 250047, 592704, 753571, 778688, 857375, 884736, 970299, 1124864, 1331000, 1367631, 1404928, 1643032, 1685159, 1906624, 2628072
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OFFSET

1,1


COMMENTS

Also positive cubes not in A179163.
A000578 = Union({0}, A179163, A179419).
Mordell curve y^2=x^3n always has at least one integral solution if n is a cube, say n=k^3, (x,y)=(k,0). If there are additional solutions, they will exist in pairs  (x,y) and (x,y). Thus the number of solutions can be odd iff n is a cube.


LINKS

Table of n, a(n) for n=1..30.


CROSSREFS

Cf. A000578, A179163.
Sequence in context: A204650 A115430 A278976 * A224549 A339245 A327284
Adjacent sequences: A179416 A179417 A179418 * A179420 A179421 A179422


KEYWORD

nonn


AUTHOR

Artur Jasinski, Jul 13 2010


EXTENSIONS

Edited and extended by Ray Chandler, Jul 14 2010


STATUS

approved



