Problem 42829. Number construction III

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Given a positive integer, n, return a, b and c, such that

1. n = a^1.5+b^2.5+c^3.5

2. a, b and c are all positive integers greater than 1

If a solution does not exist, set all three output variables to zero.

Example 1:

n = 168

a = 4

b = 4

c = 4

Example 2:

n = 100

a = 0

b = 0

c = 0

Solve

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153 Solutions

33 Solvers

Last Solution submitted on Mar 18, 2026

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3 Comments

Peng Liu on 25 Apr 2016

Could you check test case 4? It seems that for n = 314159, integers a, b, c > 1 do not exist, and the answer should be 0's...

Jean-Marie Sainthillier on 28 Apr 2016

Agree.

HH on 28 Apr 2016

You are both correct. Too much copying and pasting... Apologies. Issue fixed.

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