Smallest Number which is Sum of 4 Triples with Equal Products/Mistake
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Source Work
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $118$
Mistake
- $118$ is the smallest number which can be written as the sum of four triples, whose products are all equal: $118 = 14 + 50 + 54 = 15 + 40 + 63 = 18 + 30 + 70 = 21 + 25 = 72$.
- The product of each triple is $37,800$. [Mauldron, Guy, 172]
Correction
That first name should read Mauldon.
It appears that this most probably refers to J.G. Mauldon, who published similar results for $5$ such triples as a problem in American Mathematical Monthly in $1981$.
Sources
- Feb. 1981: J.G. Mauldon: Elementary Problems: E2872 (Amer. Math. Monthly Vol. 88, no. 2: p. 148) www.jstor.org/stable/2321140
- Sep. 1982: Lorraine L. Foster and Gabriel Robins: E2872 (Amer. Math. Monthly Vol. 89, no. 7: pp. 499 – 500) www.jstor.org/stable/2321396
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $118$