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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) If n is greater than or equal to 118, then the interval n to 4n/3 inclusive contains a prime number of each of the forms 4n + 1, 4n  1, 6n + 1 and 6n  1. [Wells] 118 is the smallest even number not differing by one or a prime number from one of its prime neighbors. [Wagler] According to Rohrbach and Weis, p(n+1)p(n)1 < (1/13)p(n) for n > 118. [Post] The product of the positive even numbers 2 through 118 minus 1 is prime. It is the largest prime of this type less than a googol. [Loungrides]
(There are 3 curios for this number that have not yet been approved by an editor.) To link to this page use /curios/page.php?number_id=105
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