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Quintic Power Query (Posted on 2015-12-21)

Each of A,B,C,D,E and F are distinct positive integers such that:

A⁵ + B⁵ + C⁵ = D⁵ + E⁵ + F⁵

Find the smallest value of A+B+C+D+E+F

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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A little research

| Comment 1 of 2

Halfway down the page, the Mathworld page

http://mathworld.wolfram.com/DiophantineEquation5thPowers.html lists 6 solutions, the smallest two being:

24^5 + 28^5 + 27^5 = 3^5 + 54^5 + 62^5

18^5 + 44^5 + 66^5 = 13^5 + 51^5 + 64^5

The sum of the bases are 198 and 256, respectively.

Posted by Brian Smith on 2015-12-21 11:49:11

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