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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The start of the smallest prime sextuplet such that the sum of any five is prime. Due to divisibility by small primes, there is no k from 7 to 50 for which there exists a prime ktuplet such that the sum of any k1 is prime. [Andersen]
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