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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 divisors for all n less than a googolplex is only about 231. [Wells] The smallest counterexample to Murthy's Conjecture occurs at n = 231. 231 is the smallest number such that it and its previous number are both the product of three distinct primes (230 = 2*5*23 and 231 = 3*7*11). [Pankajjyoti]
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