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

User Sandino
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4 votes

Answer:

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:

User Jgr
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4 votes

Answer:

71

Explanation:

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

Hope this helped! :)

What is the smallest positive number that is prime and 10 less than a perfect square-example-1
User Dper
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