MathDB
Indian TST Number theory

Source: Selection Test 2

June 20, 2011
geometry3D geometryAMCAIMEDiophantine equationnumber theory unsolvednumber theory

Problem Statement

Find all positive integer nn satisfying the conditions
a)n2=(a+1)3āˆ’a3a)n^2=(a+1)^3-a^3
b)2n+119b)2n+119 is a perfect square.