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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Let n = the number of paths on the surface of the 8dimensional lattice [0..2]^8; i.e., the lattice paths that do not pass through the point (1,1,1,1,1,1,1,1). Then n1 = 80103945599 and n+1 are twin primes. [Post]
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