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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The numbers 6*206+1, 12*206+1, and 18*206+1 are all prime and hence (6*206+1)*(12*206+1)*(18*206+1) is a Carmichael number. [Patterson] 206 is the smallest number m such that 111^111 + m is prime. [Firoozbakht]
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