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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) Let this prime be P. Every integer greater than P can be expressed as the sum of two numbers which are each divisible by either 2^{1867} or 3^{1867}. Note that 1867 is prime as well. [Rupinski]
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