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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Each of the 30 numbers 13298267 + 1887270 k, k=0..29 is a "semiprime" (a product of two primes). There is no longer Arithmetic Progression of semiprimes whose terms are all less than 10^8. [Hartley]
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