Divisibility Problem

Number Theory Level 2

For how many positive integer pairs of ( x , y ) (x,y) we have x ∣ y 2 x|y^2 , y ∣ x 2 y|x^2 and x + 1 ∣ y 2 + 1 x+1|y^2+1

24 Infinitely many 12 48

Furkan Nane by Furkan Nane , 23, Turkey

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Patrick Corn
Jul 17, 2014

The pair ( a 2 , a ) (a^2,a) satisfies the conditions, where a a is any positive integer.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Try to find all solutions because this problem is perfect.

Furkan Nane - 6 years, 11 months ago

2+1does not divide 5

A Former Brilliant Member - 6 years, 10 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...