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Is the sum of two square numbers is never a prime number?

Updated: 8/20/2019
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10y ago

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Not true.

12 + 22 = 1 + 4 = 5 which is a prime.

Or

42 + 52 = 16 + 25 = 41, also a prime.

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10y ago
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Q: Is the sum of two square numbers is never a prime number?
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Is there any prime numbers that are square numbers?

No, there are no prime numbers that are also square numbers. Prime numbers are only divisible by 1 and themselves, while square numbers have integer square roots. Since the square root of a prime number is not an integer, a prime number cannot be a square number.


What are the numbers that are prime as well as a square number?

Prime numbers cannot be square numbers.


What square numbers are there before 100 which are prime numbers?

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An oxymoron. Prime numbers can't be square. Square numbers can't be prime. You can square a prime number: 3 x 3 - 32 = 9


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No, never. It would be divisible by the prime number.


Why a number cannot be both a prime number and a square number.?

Square numbers have too many factors to be prime.


When is product of 2 prime numbers a prime number?

The product of two prime numbers is always a composite number, and it never is a prime number.


Are square numbers also prime numbers?

Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors


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Prime numbers have two factors. All square numbers (other than 1) have more than that.


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When is the product of two prime numbers not a prime number?

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What are prime numbers that are square between 1-100?

A prime number can't be divided, then it's not a square