Prime numbers Rules

In a question about prime number that can be the sum of two perfect squares, the solutions said: Prime numbers that are 11 greater than a multiple of 44 can always be written as the sum of two squares. And prime numbers that are 33 greater than a multiple of 44 can never be written as the sum of two squares.

why is that?

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This is the question: Which of the following prime numbers can be written as the sum of two perfect squares?

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