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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Single Curio View: (Seek other curios for this number) ZhiWei SUN conjectured in May 2008 that exactly 30 odd integers > 1, all multiples of 3, cannot be written in the form p + n(n+1), where p is a prime congruent to 1 (mod 4) and n a natural number. It is twice more than when p is congruent to 3 (mod 4). [Capelle]
Submitted: 20080928 05:04:02; Last Modified: 20080928 19:20:30.
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