MathDB

(65533^3 +...65539^3)/(32765 x 32766 + ..+32770 x 32771)

Source: 1971 Swedish Mathematical Competition p4

March 26, 2021

algebra

Problem Statement

Find

\frac{65533^3 + 65534^3 + 65535^3 + 65536^3 + 65537^3 + 65538^3+ 65539^3}{32765\cdot 32766 + 32767\cdot 32768 + 32768\cdot 32769 + 32770\cdot 32771}