Got what it takes to disprove Euler?
Source:
February 20, 2006
Eulermodular arithmeticAMCAIMEnumber theory
Problem Statement
One of Euler's conjectures was disproved in then 1960s by three American mathematicians when they showed there was a positive integer such that 133^5 \plus{} 110^5 \plus{} 84^5 \plus{} 27^5 \equal{} n^5. Find the value of .