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Supersingular prime (moonshine theory)

In moonshine theory, a supersingular prime is a prime number that divides the order of the Monster group M {\displaystyle M} , which is the largest sporadic simple group. There are precisely fifteen supersingular prime numbers: the first eleven primes 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31; as well as 41, 47, 59, and 71 (sequence A002267 in the OEIS).

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Role in monstrous moonshine

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Supersingular prime (moonshine theory)

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Avg. degree1.96
Density0.042553
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supersingular prime displaystyle primes elliptic curve fifteen mathbb order curves theory number monster group moonshine characteristic see sporadic every many

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