Question

What is the smallest positive number that is prime and 10 less than a perfect square?

Answer 1

The problem states that the answer cannot be a perfect square or have prime factors less than $50$. Therefore, the answer will be the product of at least two different primes greater than $50$. The two smallest primes greater than $50$ are $53$ and $59$. Multiplying these two primes, we obtain the number $3127$, which is also the smallest number on the list of answer choices. So we are done, and the answer is $\boxed{\textbf{(A)}\ 3127}$.

Explanation:

Answer 2

71

Explanation:

I just did the AOPS question, you can see the attachment down below.

Hope this helped! :)