publication . Preprint . 2013

An Algorithm to Solve the Equal-Sum-Product Problem

Nyblom, M. A.; Evans, C. D.;
Open Access English
  • Published: 15 Nov 2013
A recursive algorithm is constructed which finds all solutions to a class of Diophantine equations connected to the problem of determining ordered n-tuples of positive integers satisfying the property that their sum is equal to their product. An examination of the use of Binary Search Trees in implementing the algorithm into a working program is given. In addition an application of the algorithm for searching possible extra exceptional values of the equal-sum-product problem is explored after demonstrating a link between these numbers and the Sophie Germain primes.
free text keywords: Computer Science - Discrete Mathematics, Mathematics - Combinatorics, 11D99, F.2.1
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