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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Numbers consisting of 35 concatenated with an even number of 9's have factors (6*10^(n/2)1 and (6*10^(n/2)+1). Thus 359(w) (w any numbers of 9's) can be prime only if w is odd. The emirpimes 3599 is the product of twin primes, one of which is its middle two digits: 3599 = 59 * 61; 9953 = 37 * 269. [Post]
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