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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Analogous to Brun's constant for twin primes, this constant is the sum of the reciprocals of all pairs of Cousin primes (excluding the initial 1/3 + 1/7), i.e., (1/7 + 1/11) + (1/13 + 1/17) + (1/19 + 1/23) + (1/37 + 1/41) + (1/43 + 1/47) + (1/67 + 1/71) + ... Theoretical Physicist Marek Wolf made this approximation through 2^42, as described in the paper "Generalized Brun's constants." [Post]
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