MathDB

Gcd, quotient

Source: 2018 Taiwan APMO preliminary

November 10, 2020

number theory

Problem Statement

Let

k,x,y

be postive integers. The quotients of

k

divided by

x^2, y^2

are

n,n+148

respectively.(

k

is divisible by

x^2

and

y^2

) (a) If

\gcd(x,y)=1

, then find

k

. (b) If

\gcd(x,y)=4

, then find

k

.

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