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PUZZLET 179

Shared Prime Factor Sums

An integer's PFS (prime factor sum) is the sum of its prime factors. For example, the prime factors of 10 are 2 and 5, so PFS(10) is 2 + 5 = 7.

Several integers can share the same PFS. For example, 7 has PFS 7, and 12 also has PFS 7.

What PFS is shared the most in integers less than 1000? How many times? What are the integers?



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Last Updated: January 17th, 2010.