Prime Curios!: 683

683
(another Prime Pages' Curiosity)

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If we place 11 in the formula 2^p-1, we get the composite Mersenne number 2047, but if we place 11 in the formula (2^p+1)/3 [p is an odd prime], we get the prime number 683.

Submitted: 2003-12-01 21:50:32; Last Modified: 2008-01-30 11:28:00.