Order of Fischer-Griess Monster
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Theorem
The order of the Fischer-Griess Monster $\mathrm M$ is given as:
\(\ds \order {\mathrm M}\) | \(=\) | \(\ds 2^{46} \times 3^{20} \times 5^9 \times 7^6 \times 11^2 \times 13^3 \times 17 \times 19 \times 23 \times 29 \times 31 \times 41 \times 47 \times 59 \times 71\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 808 \, 017 \, 424 \, 794 \, 512 \, 875 \, 886 \, 459 \, 904 \, 961 \, 710 \, 757 \, 005 \, 754 \, 368 \, 000 \, 000 \, 000\) |
Proof
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Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000$