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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) A curious palindrome whose splitting up into parts 7 and 17 is interpretable in two ways. First as 'the 7th prime is 17' and secondly as 'the sum of the primes up to 7 is 17'. No larger palindrome is known having this twofold property. [De Geest and Rosa] The sum of the squares of the 717 consecutive primes starting from 1847 and 6959 is (in both cases) palindromic (18708380781 and 77817671877). [De Geest] 717 is the largest threedigit palindrome such that if it is raised to the sum of its digits plus the sum of its digits plus one, the result is prime. I.e., 717^(7+1+7)+(7+1+7)+1 is prime. [Opao]
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