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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 record-breaking sequence of mean omega values up to n that are integers begins 1, 6, 455, 8167302, ... . Can you find the next term? [Honaker]

Submitted: 2018-12-21 15:05:49;   Last Modified: 2018-12-21 18:26:15.
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