Search: id:A108764
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%I A108764
%S A108764 4,6,9,10,14,15,21,22,25,26,33,34,35,38,39,46,49,51,55,57,58,62,65,69,
%T A108764 77,82,85,87,91,93,94,95,115,118,119,121,123,133,141,142,143,145,155,
%U A108764 161,169,177,187,203,205,209,213,217,221,235,247,253,287,289,295,299
%N A108764 Products of exactly two supersingular primes (A002267).
%C A108764 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.
%D A108764 Conway, J. H. and Norton, S. P. "Monstrous Moonshine." Bull. London Math. 
               Soc. 11, 308-339, 1979.
%D A108764 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.
%D A108764 Silverman, J. H. The Arithmetic of Elliptic Curves II. New York: Springer-Verlag, 
               1994.
%H A108764 Eric Weisstein et al., <a href="http://mathworld.wolfram.com/SupersingularPrime.html">
               Supersingular Prime.</a>
%F A108764 {a(n)} = {p*q: p in A002267 and q in A002267}.
%e A108764 1207 = 17 * 71, 3337 = 47 * 71.
%t A108764 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)
%Y A108764 Cf. A001358, A002267.
%Y A108764 Sequence in context: A085155 A063762 A001358 this_sequence A129336 A103607 
               A108574
%Y A108764 Adjacent sequences: A108761 A108762 A108763 this_sequence A108765 A108766 
               A108767
%K A108764 easy,fini,nonn
%O A108764 1,1
%A A108764 Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 17 2005

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