Number theory warmups

In how many orders we can arrange the numbers that constitute the following number as the sum of cube of two different numbers? The number is 87539319.

2 3 9 5

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1 solution

Nurul Ikram
Mar 27, 2016

The number 87539319,seems a big number to be summed off.

There are only 3 ways to arrange the numbers that constitute that number 87539319 as the sum of cube of two different numbers.

87539319= 167^3 + 436^3 = 228^3 + 423^3 = 255^3 + 414^3.

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