As $p$ ranges over the primes greater than $5$, how many different remainders can $p^2$ leave upon division by $120$?
Question:
As $p$ ranges over the primes greater than $5$, how many different remainders can $p^2$ leave upon division by $120$?
Answer:
Let's think step by step.

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As $p$ ranges over the primes greater than $5$, how many different remainders can $p^2$ leave upon division by $120$?
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