Order of Fischer-Griess Monster
Jump to navigation
Jump to search
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
 | This theorem requires a proof. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000$