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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

+ Wilson's Theorem: Let p be an integer greater than one. p is prime iff (p - 1)! == -1 (mod p). [Nicholson]

+ Agoh's conjecture involves prime numbers and a minimal residue of -1.

(There are 3 curios for this number that have not yet been approved by an editor.)

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