65537

This number is a prime.

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+ The smallest prime that is the sum of a nonzero square and a nonzero cube in four different ways: 65537 = 1222 + 373 = 2192 + 263 = 2552 + 83 = 2562 + 13. [Post]

+ Largest known prime mean of a Fermat prime and a Mersenne prime 65537 = (3+131071)/2. Richard Mathar has searched through all means that can be created from the existing values of the two OEIS sequences, Mersenne primes and Fermat primes. [Post]

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