There's a very famous group, the largest sporadic simple finite group, sometimes called a monster whose size is quoted below. What's the explanation that the primes appearing in it,

#{Monster} = 2^{46} * 3^{20} * 5^9 * 7^6 * 11^2 * 13^3 * 19 * 23 * 29 * 31 * 41 * 47 * 59 * 71

are exactly the supersingular primes (and here's a separate question about those)?

My notes contain some mystic reference to the fact that it is that it's "related to famous modular function $j(\tau) = q^{-1} + 744 + 196884q + \cdots$ by some compactification of bosonic strings on a Leech latticelattice". But perhaps there could be a more purely number-theoretic direction?

Also, here's a Wikipedia article with some references.

There's a very famous group, the largest sporadic simple finite group, sometimes called a monster. (Among the interesting facts about it whose size is that it's related to famous modular function $j(\tau) = q^{-1} + 744 + 196884q+\cdots$ by some compactification of bosonic strings on a Leech lattice)quoted below.

But here's the question: what's What's the explanation that the primes appearing in it,

#{Monster} = 2^{46} * 3^{20} * 5^9 * 7^6 * 11^2 * 13^3 * 19 * 23 * 29 * 31 * 41 * 47 * 59 * 71

are exactly the supersingular primes (and here's a separate question about those)?

My notes contain some mystic reference to the fact that it is that it's related to famous modular function $j(\tau) = q^{-1} + 744 + 196884q + \cdots$ by some compactification of bosonic strings on a Leech lattice. But perhaps there could be a more purely number-theoretic direction?

Also, here's a Wikipedia article with some references.

There's a very famous group, the largest sporadic simple finite group, sometimes called a monster. (Among the interesting facts about it is that it's related to famous modular function $j(\tau) = q^{-1} + 744 + 196884q+\cdots$ by some compactification of bosonic strings on a Leech lattice).

But here's the question: what's the explanation that the primes appearing in

#{Monster} = 2^{46} * 3^{20} * 5^9 * 7^6 * 11^2 * 13^3 * 19 * 23 * 29 * 31 * 41 * 47 * 59 * 71

are exactly the supersingular primes (and here's a separate question about those)?

Also, here's a Wikipedia article with some references.

There's a very famous group, the largest sporadic simple finite group, sometimes called a monster. (Among the interesting facts about it is that it's related to famous modular function $j(\tau) = q^{-1} + 744 + 196884q+\cdots$ by some compactification of bosonic strings on a Leech lattice).

But here's the question: what's the explanation that the primes appearing in

#{Monster} = 2^{46} * 3^{20} * 5^9 * 7^6 * 11^2 * 13^3 * 19 * 23 * 29 * 31 * 41 * 47 * 59 * 71

are exactly the superingular supersingular primes (and here's a separate question about those)?

There's a very famous group, the largest sporadic simple finite group, sometimes called a monster. (Among the interesting facts about it is that it's related to famous modular function $j(\tau) = q^{-1} + 744 + 196884q+\cdots$ by some compactification of bosonic strings on a Leech lattice).

But here's the question: what's the explanation that the primes appearing in

#{Monster} = 2^{46} * 3^{20} * 5^9 * 7^6 * 11^2 * 13^3 * 19 * 23 * 29 * 31 * 41 * 47 * 59 * 71

are exactly the superingular primes?