65537

This number is a prime.

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+ 65537 = (1/3)(196884 - 196560/(3*240)) where 196884 is the first coefficient in the j-invariant responsible for 'monstrous moonshine' and 196560 is the kissing number for the Leech lattice. The number 240 is the number of vectors in the E_8 root system. [Thomas]

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