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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) This repunit has the unique property of having only unique primes (11, (10^191)/9 and (10^19+1)/11) as factors. Such a number could only occur for a prime where both (10^p1)/9 and (10^p+1)/11 were prime. It is unlikely any prime except 19 has that property.
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