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Search: id:A094598
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| A094598 |
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Numbers n such that the Lebesgue-Nagell equation x^2 + n = y^k, with k > 2, has no integer solutions. |
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+0
4
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| 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
(list; graph; listen)
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OFFSET
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1,1
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MATHEMATICA
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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
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CROSSREFS
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Cf. A094596, A094597, A094599.
Sequence in context: A112649 A050083 A081175 this_sequence A122194 A053091 A047271
Adjacent sequences: A094595 A094596 A094597 this_sequence A094599 A094600 A094601
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KEYWORD
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hard,nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), May 13 2004
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