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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 2 + 3 + 5 + 7 + 11 + ... + 163117 can be divided by exactly 8 distinct primes that are less than 163117. Can you find a sum of primes that is divided by exactly 9 or more distinct primes in this manner? [Gaydos]
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