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Q: Are there any prime numbers that are also square numbers?

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Square numbers can't be prime. They have too many factors.

There are no prime numbers that are square numbers

No, square numbers greater than 1 have more than two factors.

No. By definition, the square root would be a factor so the number would not be a prime.

I might be reading this incorrectly, but it seems to me that I can take two prime numbers, 3 and 3, and make the square number nine out of them. This is also true of all the other prime numbers.

Prime numbers only have two factors; square numbers (other than 1) have more than two.

There are a lot of possibilities. The seventh square number is 49. 5 times 5 times any other prime number will be greater than 49. 5 times any pair of prime numbers seven or greater will also satisfy the conditions.

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Any two prime numbers will be relatively prime. Numbers are relatively prime if they do not have any prime factors in common. Prime numbers have only themselves as prime factors, so all prime numbers are relatively prime to the others.

No other prime numbers are consecutive because there aren't any other even prime numbers.

Prime numbers have two factors, composite numbers have more than two.

Any two prime numbers, eg 3 and 17 also any two co-prime numbers eg 26 and 33

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