%I #32 Jun 14 2024 22:31:09
%S 337804753143634806261388190614085595079991692242467651576160959909068800000,
%T 18830052912953932311099032439972660332140886784940152038522449391826616580150109878711243949982163694448626420940800000,
%U 191797292142671717754639757897512906421357507604216557533558287598236977154127870984484770345340348298409697395609822849492217656441474908160000000000
%N Order of simple Chevalley group E_8 (q), q = prime power.
%C 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!
%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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.
%D H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
%p 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);
%t 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 *)
%Y Cf. A003133, A004231, A178795.
%K nonn,easy,nice,bref
%O 1,1
%A _N. J. A. Sloane_
%E a(3) added by _N. J. A. Sloane_, Sep 16 2008