MathDB
A 100

Source:

May 25, 2007
calculusintegrationmodular arithmeticDivisibility Theory

Problem Statement

Find all positive integers nn such that nn has exactly 66 positive divisors 1<d1<d2<d3<d4<n1<d_{1}<d_{2}<d_{3}<d_{4}<n and 1+n=5(d1+d2+d3+d4)1+n=5(d_{1}+d_{2}+d_{3}+d_{4}).