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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) n^2 + 2n + 1 is always a square, but 2^n + 2n + 1 can be prime (starting with n = 0, 1, 5, 13, 65). 2^85 + 2*85 + 1 is the largest such prime for n < 200. [Post]
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