(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For what natural numbers n is (10^n)-1 divisible by 73?

2. Relevant equations

N/A

3. The attempt at a solution

I have already found that it holds when n is a power of two greater than 8. (That means when n is great than 8, not the eigth power of 2)

What other natural numbers n satisfy the above condition?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Interesting number theory question

**Physics Forums | Science Articles, Homework Help, Discussion**