Prime Curios!: 36779

36779
(another Prime Pages' Curiosity)

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Let x = (sqrt(5) + 1)/2 and y = sqrt(3) + sqrt(2). Then the Lucas number (x^36779 - 1/x^36779)/(x - 1/x) is prime and the Lehmer number (y^36779 + 1/y^36779)/(y + 1/y) is a probable prime. [Broadhurst]

Submitted: 2009-03-26 18:24:20; Last Modified: 2009-03-26 19:52:32.