Yet divisibility...

For discussing Olympiad Level Number Theory problems
Katy729
Posts: 40
Joined: Sat May 06, 2017 2:30 am

Yet divisibility...

Unread post by Katy729 » Sat Jul 01, 2017 3:35 pm

Determine all ordered pairs $(a,b)$ of positive integers for which $\dfrac{b^3+1}{ab-1}$ is an integer.

Katy729
Posts: 40
Joined: Sat May 06, 2017 2:30 am

Re: Yet divisibility...

Unread post by Katy729 » Wed Sep 06, 2017 6:04 pm

Please a solution... :(

Katy729
Posts: 40
Joined: Sat May 06, 2017 2:30 am

Re: Yet divisibility...

Unread post by Katy729 » Sat Oct 14, 2017 10:48 pm

Someone pleasee. :(

Katy729
Posts: 40
Joined: Sat May 06, 2017 2:30 am

Re: Yet divisibility...

Unread post by Katy729 » Sat Nov 11, 2017 4:08 pm

Please a solution... :( :( :(

Katy729
Posts: 40
Joined: Sat May 06, 2017 2:30 am

Re: Yet divisibility...

Unread post by Katy729 » Wed Dec 13, 2017 8:07 pm

A solution please..... :(

aritra barua
Posts: 48
Joined: Sun Dec 11, 2016 2:01 pm

Re: Yet divisibility...

Unread post by aritra barua » Wed Dec 13, 2017 8:45 pm

This is an IMO $1994$ problem.Look up the problem in $AoPS$.

Katy729
Posts: 40
Joined: Sat May 06, 2017 2:30 am

Re: Yet divisibility...

Unread post by Katy729 » Wed Dec 13, 2017 11:18 pm

Ok, thanks aritra!! :)

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