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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 55 is 5 times the 5^{th} prime. [Woods] Every number greater than 55 is the sum of distinct primes of the form 4n + 3. [Wells] If sigma(n)/n is greater than 9, then n has at least 55 distinct prime factors. [Laatsch] Klimov (1975) showed that all integers are the sum of at most 55 prime numbers. 2^5555 is the largest nontitanic prime of form 2^nn, where n is a composite number. [Loungrides]
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