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A Ruth–Aaron pair is a pair of consecutive integers, \( n \) and \( n+1 \), for which the sums of the prime factors of both integers are equal when counted with multiplicity. For instance, let's consider the numbers 714 and 715: - The prime factorization of 714 is \( 2 \times 3 \times 7 \times 17 \).

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  1. Prime numbers
  2. Numbers
  3. Arithmetic
  4. Fields of mathematics
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