A094598 Numbers n such that the Lebesgue-Nagell equation x^2 + n = y^k, with k > 2, has no integer solutions.

3, 5, 6, 9, 10, 14, 21, 22, 24, 29, 30, 33, 34, 36, 37, 38, 41, 42, 43, 46, 50, 51, 52, 57, 58, 59, 62, 66, 68, 69, 70, 73, 75, 78, 82, 84, 85, 86, 88, 90, 91, 93, 94, 98

Offset

1,1

Links

Table of n, a(n) for n=1..44.

Mathematica

lst=Table[cnt=0; Do[x=Sqrt[y^k-n]; If[IntegerQ[x], cnt++ ], {k, 3, 20}, {y, 600}]; cnt, {n, 2, 100}]; Flatten[Position[lst, 0]]+1

Crossrefs

Cf. A094596, A094597, A094599.

Sequence in context: A081175 A269110 A182050 * A367334 A329003 A263654

Adjacent sequences: A094595 A094596 A094597 * A094599 A094600 A094601

Keyword

hard,nonn

Author

T. D. Noe, May 13 2004

Status

approved