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Can 5077 be expressed by the sum of 2 perfect square numbers?
Yes, 5041 and 36.
Can 2819 be expressed by the sum of 2 perfect squares?
no
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.
Can 5077 be expressed by the sum of two perfect squares?
Since the last digit of 5077 is 7, the last digit of the perfect square numbers must be 1 and 6. So that we have 5077 = 712 + 62.
Can 5077 be expressed by the sum of 2 perfect square numbers?
Yes, 5041 and 36.
Can 2819 be expressed by the sum of 2 perfect squares?
no
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 is the sum of all positive integers less than 100 that are squares of perfect squares?
The only squares of perfect squares in that range are 1, 16, and 81.
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)
How can you two perfect squares for a given integer?
The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.
What is the sum of all perfect squares from 50 to 2500?
Including 2500, it's 42,785.
What is the sum of all the perfect squares between 5 and 30?
9+16+25= 50
What is the smallest prime number which is the sum of two distinct positive perfect squares?
5
