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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The smallest integer n for which (n) = n/4. [Woods] The only doubledigit number that can be expressed as sum of two distinct primes, each ending with the digit 3, in the largest number n of different ways, (case n=3), i.e., 96 = 13 + 83 = 23 + 73 = 43 + 53. [Loungrides] Every integer greater than 96 may be represented as a sum of distinct superprime numbers.
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