A343298 a(n) is the smallest m such that the only non-basic multiset of positive integers of cardinality m where the sum equals the product has n nonunit elements, or zero if no such m exists.
0, 7, 8, 12, 42
Offset: 1
Examples
a(5) = 42 because {2,2,2,2,3; 37} and {42,2; 40} are the only bioperational multisets of size 42, where the number after the semicolon is the number of repeated 1's.
Links
- Onno M. Cain, Bioperational Multisets in Various Semi-rings, arXiv:1908.03235 [math.RA], 2019.
- Michael W. Ecker, When Does a Sum of Positive Integers Equal Their Product? Mathematics Magazine 75(1), 2002, pp. 41-47.
- Michael A. Nyblom, Sophie Germain Primes and the Exceptional Values of the Equal-Sum-And-Product Problem, Fib. Q. 50(1), 2012, 58-61.
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