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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 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]
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