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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) A prime that equals the number of integers between two Mersenne primes. For example, there are 131063 integers between 2^31 and 2^171. The sequence begins 3, 23, 131063, 2305843009213562879, etc. [Honaker]
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