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(another Prime Pages' Curiosity)
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+ Selfridge showed that among the partitions of n into distinct primes, the one having the maximum product of parts is not necessarily one of those with the maximum number of parts. The smallest case being 319 = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 23 + 29 + 31 + 37 + 41 + 47 + 53 and 319 = 3 + 5 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47.

(There are 3 curios for this number that have not yet been approved by an editor.)




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