Prime numbers

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For each of the prime numbers in the table below: (a) Find the remainder when the prime number is divided by 4; and (b) Find whether the prime number can be expressed as the sum of two square numbers. If the prime number can be expressed as the sum of two square numbers, state the two square numbers. If the prime number cannot be expressed as the sum of two square numbers state “Not possible”. Complete the table below. The first two rows have been completed for you.



Comments

  1. Anonymous1 July 2021 at 05:55

    7:
    (A) The remainder is three
    (B) Not Possible

    11:
    (A) The remainder is 3
    (B) Not Possible

    13:
    (A) The remainder is 1
    (B) 2² + 3²

    17:
    (A) The remainder is 1
    (B) 1² + 4²

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