MathDB
ac + bd is composite if a^4 + b^4 = c^4 + d^4 = e^5

Source: New Zealand NZMOC Camp Selection Problems 2017 p7

September 19, 2021
compositionnumber theory

Problem Statement

Let a,b,c,d,ea, b, c, d, e be distinct positive integers such that a4+b4=c4+d4=e5.a^4 + b^4 = c^4 + d^4 = e^5. Show that ac+bdac + bd is composite.
Back to ProblemsView on AoPS