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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 'Rupinski': (Click here to show all) The only prime which is the average of two consecutive terms of the Lucas sequence. [Rupinski]The first 2 primes are the only 2 primes which are minimal primes in all bases. [Rupinski] Given any even digit E and any odd digit O, integer D, and 0 < R < 2^{D}, there is exactly one number D digits in length containing only the digits E and O which leaves remainder R when divided by 2^{D}. [Rupinski] It can be shown that the probability that the greatest prime factor of a random integer n is greater than sqrt(n) is ln 2. [Rupinski] The sum of the reciprocals of the divisors of a perfect number (including the reciprocal of the number itself) is always equal to 2. [Rupinski]
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