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Earn +20 ptsQ: Can 2819 be expressed by the sum of 2 perfect squares?
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Can 5077 be expressed as the sum of two perfect squares?
Yes. 6 squared+71 squared equals 5077
Can 8081 be the sum of two perfect squares?
8081 can be the sum of two perfect squares because its perfect squares are 41 x41+80x80=1681+6400. Answer=1681+6400
Can 4003 be expressed by the sum of 2 perfect squares?
No. The closest integers which can are 4001 (= 40² + 49²) and 4005 (= 6² + 63²).
What are two perfect squares that have the sum of 100?
64 and 36.
What is the rule which tests whether a prime number can be written as the sum of two different squares?
It is Fermat's theorem on the sum of two squares. An odd prime p can be expressed as a sum of two different squares if and only if p = 1 mod(4)
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