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%I #54 May 06 2023 02:47:00
%S 2,3,5,7,11,13,17,19,23,29,31,41,47,59,71
%N The 15 supersingular primes: primes dividing order of Monster simple group.
%C The supersingular primes are a subset of the Chen primes (A109611). - _Paul Muljadi_, Oct 12 2005
%C PROD(a(k): 1<=k<=15) = 1618964990108856390 = A174848(26). - _Reinhard Zumkeller_, Apr 02 2010
%D J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.
%D A. P. Ogg, Modular functions, in The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), pp. 521-532, Proc. Sympos. Pure Math., 37, Amer. Math. Soc., Providence, R.I., 1980.
%H J. H. Conway and S. P. Norton, <a href="https://doi.org/10.1112/blms/11.3.308">Monstrous Moonshine</a>, Bull. Lond. Math. Soc. 11 (1979) 308-339.
%H T. Gannon, <a href="http://arxiv.org/abs/math/0109067">Postcards from the edge, or Snapshots of the theory of generalised Moonshine</a>, arXiv:math/0109067 [math.QA], 2001.
%H Alan W. Reid, <a href="https://pi.math.cornell.edu/~thurston/slides/reid.pdf">Arithmetic hyperbolic manifolds</a>, slides of a talk, Cornell University, June 2014,
%H G. K. Sankaran, <a href="https://arxiv.org/abs/2009.11379">A supersingular coincidence</a>, arXiv:2009.11379 [math.NT], 2020.
%H J. G. Thompson, <a href="https://doi.org/10.1112/blms/11.3.347">Finite groups and modular functions</a>, Bulletin of the London Mathematical Society 11.3 (1979): 347-351. See page 350.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SupersingularPrime.html">Supersingular Prime</a>
%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>
%t FactorInteger[GroupOrder[MonsterGroupM[]]][[All, 1]] (* _Jean-François Alcover_, Oct 03 2016 *)
%o (PARI) A002267=vecextract(primes(20),612351) \\ bitmask 2^20-1-213<<11: remove primes # 12, 14, 16, 18 and 19. - _M. F. Hasler_, Nov 10 2017
%Y Cf. A003131, A001379, A051161, A109611.
%K nonn,fini,full,nice
%O 1,1
%A _N. J. A. Sloane_
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