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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The average number of distinct prime factors for positive integers up to 455 is an integer. For example, the sum of all omega(n) values up to 455 = 910, and 910/455 = 2. The recordbreaking sequence of mean omega values up to n that are integers begins 1, 6, 455, 8167302, ... . Can you find the next term? [Honaker]
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