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A094784
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Numbers that are neither squares nor cubes.
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2
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2, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82
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OFFSET
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1,1
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COMMENTS
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Numbers n for which order of torsion subgroup t of the elliptic curve y^2=x^3+n is t=1. - Artur Jasinski, Jun 30 2010
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REFERENCES
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R. Honsberger, Mathematical Chestnuts from Around the World, MAA, 2001; see p. 168.
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LINKS
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MATHEMATICA
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PROG
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(PARI) g(n) = for(x=0, n, if(!issquare(x)&&!iscube(x), print1(x", "))) iscube(n) = { local(r); r = n^(1/3); if(floor(r+.5)^3== n, 1, 0)
(Haskell)
a094784 n = a094784_list !! (n-1)
a094784_list = [x | x <- [0..], a010052 x == 0, a010057 x == 0]
(Magma) [n: n in [0..90] | not IsSquare(n) and not IsPower(n, 3)]; // Bruno Berselli, Feb 22 2016
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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