5821
This number is a prime.
2^(3 + 5 + ... + 5807) = 5813 (mod 5821). Note that 2, 3, ... , 5807, 5813, and 5821 are consecutive primes and that 5821 is the smallest prime with this property. [Firoozbakht]
(There is one curio for this number that has not yet been approved by an editor.)
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