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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) Just showing those entries submitted by 'Luhn': (Click here to show all) Double 7! to get the exact number of minutes in a week (7 days). [Luhn]The reversal of (7  1)! + 1 is 2^{7}  1 (a Mersenne prime). [Luhn] The first number of every sextuplet ends with 7. [Luhn] The smallest example of xy,xxy,xxxy all being prime is with digits x=7 and y=4. So 74=3, 774=73, 7774=773 are all primes. It is the only solution because one of three consecutive numbers x..xy is divisible by 3. [Luhn]
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