101

This number is a prime.

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101^101-100^100+99^99-98^98+...-2^2+1^1 is prime. Note that 101 is the only known odd prime p, such that p^p-(p-1)^(p-1)+...-2^2+1^1 is prime. [Firoozbakht]

Submitted: 2003-08-09 12:14:10; Last Modified: 2008-01-30 17:28:00.