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Search: id:A108764
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| 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34, 35, 38, 39, 46, 49, 51, 55, 57, 58, 62, 65, 69, 77, 82, 85, 87, 91, 93, 94, 95, 115, 118, 119, 121, 123, 133, 141, 142, 143, 145, 155, 161, 169, 177, 187, 203, 205, 209, 213, 217, 221, 235, 247, 253, 287, 289, 295, 299
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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There are exactly 15 supersingular primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59 and 71 (A002267). The supersingular primes are exactly the set of primes that divide the group order of the Monster group.
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REFERENCES
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Conway, J. H. and Norton, S. P. "Monstrous Moonshine." Bull. London Math. Soc. 11, 308-339, 1979.
Ogg, A. P. "Modular Functions." In The Santa Cruz Conference on Finite Groups. Held at the University of California, Santa Cruz, Calif., 1979 (Ed. B. Cooperstein and G. Mason). Providence, RI: Amer. Math. Soc., pp. 521-532, 1980.
Silverman, J. H. The Arithmetic of Elliptic Curves II. New York: Springer-Verlag, 1994.
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LINKS
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Eric Weisstein et al., Supersingular Prime.
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FORMULA
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{a(n)} = {p*q: p in A002267 and q in A002267}.
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EXAMPLE
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1207 = 17 * 71, 3337 = 47 * 71.
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MATHEMATICA
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t = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, 71}; Take[ Sort[ Flatten[ Table[ t[[i]]*t[[j]], {i, 15}, {j, i}]]], 60] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 28 2005)
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CROSSREFS
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Cf. A001358, A002267.
Sequence in context: A085155 A063762 A001358 this_sequence A129336 A103607 A108574
Adjacent sequences: A108761 A108762 A108763 this_sequence A108765 A108766 A108767
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KEYWORD
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easy,fini,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 17 2005
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