Prime Curios!: 617

617
(another Prime Pages' Curiosity)

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617 is the only three-digit prime such that, if 2 is subtracted from its 4th power, the resulting number is prime and if 2 is subtracted from the 4th power of this number, the result is still prime. I.e., 617, 617^4-2, and (617^4-2)^4-2 are all primes. [Opao]

Submitted: 2003-12-01 19:10:28; Last Modified: 2008-01-30 11:28:00.