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A002267 The 15 supersingular primes: primes dividing order of Monster simple group. 10
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, 71 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The supersingular primes are a subset of the Chen primes (A109611). - Paul Muljadi, Oct 12 2005
PROD(a(k): 1<=k<=15) = 1618964990108856390 = A174848(26). - Reinhard Zumkeller, Apr 02 2010
REFERENCES
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985.
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.
LINKS
J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308-339.
Alan W. Reid, Arithmetic hyperbolic manifolds, slides of a talk, Cornell University, June 2014,
G. K. Sankaran, A supersingular coincidence, arXiv:2009.11379 [math.NT], 2020.
J. G. Thompson, Finite groups and modular functions, Bulletin of the London Mathematical Society 11.3 (1979): 347-351. See page 350.
Eric Weisstein's World of Mathematics, Supersingular Prime
MATHEMATICA
FactorInteger[GroupOrder[MonsterGroupM[]]][[All, 1]] (* Jean-François Alcover, Oct 03 2016 *)
PROG
(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
CROSSREFS
Sequence in context: A222566 A299171 A347977 * A178762 A051750 A268109
KEYWORD
nonn,fini,full,nice
AUTHOR
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)