POTW #1 - Nov. 27, 2023

All Submissions
Best Submissions

Difficulty: 6

This problem is tagged with potw, potw2023.

MCR Problem of the Week, Nov. 27, 2023 Edition

Consider the equation $2^a \times 5^b = c^2$, where $a$, $b$, and $c$ are positive integers with $a,b \le 100$. How many distinct positive integer triples $(a,b,c)$ satisfy the equation?

Please login or sign up to submit and check if your answer is correct.

flag Report Content
You should report content if:
  • It may be offensive.
  • There is something wrong with it (statement or difficulty value)
  • It isn't original.
Thanks for keeping the Math Contest Repository a clean and safe environment!