Eider's sum-of-powers conjecture. In 1769 Leonhard Euler formulated a generalized version of Fermat’s Last Theorem, conjecturing that at least n nth powers are needed to obtain a sum that is itself an nth power, for n > 2. Write a program to disprove Euler’s conjecture (which stood until 1967), using a quintuply nested loop to find four positive integers whose 5th power sums to the 5th power of another positive integer. That is, find a, b, c, d, and e such that a5 + b5 + c5 + d5 = e3. Use the long data type.
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