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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The largest known prime of the form 3^{2n} + 2. 6563 and 6653 are the smallest pair of consecutive Honaker primes that are anagrams of each other. Their concatenation (65636653) is a prime number. [Gaydos] 2 + 3 + 5 + … + 6563 = 6569 mod 6571 is the largest known (as of 2018) solution to the equation Sum(2,3, … p)=q mod r where p, q and r are consecutive primes. [Rivera]
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