A number theory problem by Mohammed Imran

Number Theory Level 3

Find the number of positive integer solutions to the equation: 3 a + 4 b = 5 c 3^a+4^b=5^c . Note:(If you have solved it rigorously, please post your solution.)

5 1 52 2

Mohammed Imran by Mohammed Imran , 13, India

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

Nikola Alfredi
Feb 26, 2020

I hope it helps.

1 Helpful 1 Interesting 1 Brilliant 1 Confused

Nice solution

Mohammed Imran - 1 year, 3 months ago

1 pending report

Vote up reports you agree with

×

Problem Loading...

Note Loading...

Set Loading...