In Mathematics
65535 is a Mersenne number, being . But since its index, 16, is not prime, 65535 cannot be a Mersenne prime. It is the product of the first four Fermat primes: 65535 = (2 + 1)(4 + 1)(16 + 1)(256 + 1). Because of this property, it is possible to construct with compass and straightedge a regular polygon with 65535 sides. See constructible polygon.
65535 is the 15th 626-gonal number, the 5th 6555-gonal number, the 3rd 21846-gonal number.
Read more about this topic: 65535 (number)
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