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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest invertible prime whose digits are circular and composite. [Punches] The NSW number with index 6689 is prime. These numbers arise when addressing the following question: "Is there a finite simple group whose order is a square?" The first occurrence of a twin prime pair (6689, 6691) that both are invertible primes. [Beedassy] An invertible prime equal to 2^7+3^8. [Silva]
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