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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) ZhiWei Sun conjectured in March 2008 that any integer n > 88956 can be written as n = T + p, where T is a positive triangular number and p = 0 or a prime congruent to 1 (mod 4). [Capelle]
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