Day 8: The Power of Eight

Number Theory Level 5

Find all triples of integers \((a, b, n) \) that satisfy:

\[2^a + 7^b = n^2 - 4 \]

Then find \(a+b+n\) for each triple and give the sum of these values as your answer.

This problem is part of the set Advent Calendar 2014.

Problem Loading...

Note Loading...

Set Loading...