MathDB
Indian RMO P3

Source:

January 1, 2015
number theorygreatest common divisornumber theory unsolved

Problem Statement

let m,nm,n be natural number with m>nm>n . find all such pairs of (m,n)(m,n) such that
gcd(n+1,m+1)=gcd(n+2,m+2)=..........=gcd(m,2māˆ’n)=1gcd(n+1,m+1)=gcd(n+2,m+2) =..........=gcd(m, 2m-n) = 1
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