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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 'Capelle': (Click here to show all) The largest known prime number p such that the binomial coefficient C(2p, p) is not divisible by the square of an odd prime. [Capelle]The largest known prime number p such that the decimal expansion of 2^{p} does not contain a multidigit palindromic substring. [Capelle] The largest known prime number that can be written as the sum of two positive squares, but not as the sum of three positive squares. [Capelle] The largest prime number p for which the sum of digits is not smaller than p/4. [Capelle]
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