Question

What are both primes p > 0 for which 1/p has a purely periodic decimal expansion with a period 5 digits long?

Answer 1

what do you mean periodic decimal expansion

Answer 2

For example, this is period of 3\[\Large \frac{1}{37}=.027027027...\]

Answer 3

okay gotcha

Answer 4

I honestly don't know the answer but my first guess would be to look at 5 and 2 since they have some relationship to base 10. But obviously, they don't repeat.