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78 forms a Ruth–Aaron pair with 77. A Ruth–Aaron pair consists of two consecutive integers (e.g., 714 and 715) for which the sums of the prime factors of each integer are equal:
714 = 2 × 3 × 7 × 17
and
715 = 5 × 11 × 13
-and-
2 + 3 + 7 + 17 = 5 + 11 + 13 = 29.
danjanchick - 09.23.2026 01:25:44
Very useful information indeed!
nevin0077 - 09.23.2026 01:45:45
The name comes from Babe Ruth and Hank Aaron. Their famous consecutive career home-run totals—Ruth’s 714 and Aaron’s record-breaking 715th homer on April 8, 1974—happen to form a pair whose prime-factor sums match