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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 7777 = 6^5 + 1 is probably the only repdigit number of the form (p+1)^p+1 where p is prime. Also, it is probably the only multidigit repdigit number of the form (n+1)^n+1. [Firoozbakht]
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