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A094598
Numbers n such that the Lebesgue-Nagell equation x^2 + n = y^k, with k > 2, has no integer solutions.
3
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
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
KEYWORD
hard,nonn
AUTHOR
T. D. Noe, May 13 2004
STATUS
approved