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n = a (a + 1) = b (b + 1) (b + 2) (b + 3) , diophantine

Source: Dutch NMO 2003 p3

September 21, 2019
number theoryDiophantine equationdiophantineconsecutive

Problem Statement

Determine all positive integersn n that can be written as the product of two consecutive integers and as well as the product of four consecutive integers numbers. In the formula: n=a(a+1)=b(b+1)(b+2)(b+3)n = a (a + 1) = b (b + 1) (b + 2) (b + 3).
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