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A127263
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Numbers n such that n^3 divide 2^(n^2)+1.
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19
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1, 3, 57, 32547, 9961491, 297381939, 1338104811, 3942759027, 5688011361, 8920514307, 9146532873, 40253706489, 243640690617, 764039295291, 1127102902923, 1556475424971, 2251315404417, 3005607686883, 5222670270483
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OFFSET
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1,2
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COMMENTS
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If n belongs to this sequence, then so does (2^(n^2)+1)/n^2.
Contribution from Alexander Adamchuk, May 14 2010: (Start)
3 divides a(n) for n>1.
19 divides a(n) for n>2. (End)
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LINKS
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Table of n, a(n) for n=1..19.
Discussion at ArtOfProblemSolving forum
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CROSSREFS
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Cf. A006521, A093546, A093665, A136372, A128677.
Cf. A128678, A128679, A128680, A128681, A128682, A128683, A128684, A128685, A177813, A177814, A177816, A177817, A177818, A177819, A177820.
Sequence in context: A012204 A000281 A086220 * A134723 A133060 A198915
Adjacent sequences: A127260 A127261 A127262 * A127264 A127265 A127266
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KEYWORD
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nonn
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AUTHOR
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Max Alekseyev, Mar 27 2007, Mar 29 2007, Apr 18 2007
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EXTENSIONS
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a(7) from Ryan Propper (rpropper(AT)cs.stanford.edu), Jan 01 2008
a(8)-a(19) from Max Alekseyev, May 14 2010
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STATUS
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approved
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