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A008868 Order of simple Chevalley group E_8 (q), q = prime power. 3
337804753143634806261388190614085595079991692242467651576160959909068800000, 18830052912953932311099032439972660332140886784940152038522449391826616580150109878711243949982163694448626420940800000, 191797292142671717754639757897512906421357507604216557533558287598236977154127870984484770345340348298409697395609822849492217656441474908160000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Coxeter and Moser p. 131 remark that the first term in this sequence is comparable to Eddington's estimate of the number of protons in the universe. See also the comment in A004231!
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, p. xvi.
H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
LINKS
MAPLE
q^120*(q^2-1)*(q^8-1)*(q^12-1)*(q^14-1)*(q^18-1)*(q^20-1)*(q^24-1)*(q^30-1);
MATHEMATICA
Table[q^120*(q^2-1)*(q^8-1)*(q^12-1)*(q^14-1)*(q^18-1)*(q^20-1)*(q^24-1)*(q^30-1), {q, Select[Range[4], PrimePowerQ]}] (* Jean-François Alcover, Aug 24 2022 *)
CROSSREFS
Sequence in context: A095538 A095540 A095542 * A095544 A095546 A095548
KEYWORD
nonn,easy,nice,bref
AUTHOR
EXTENSIONS
a(3) added by N. J. A. Sloane, Sep 16 2008
STATUS
approved

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Last modified March 19 01:34 EDT 2024. Contains 370952 sequences. (Running on oeis4.)