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What is the sum of all perfect squares from 50 to 2500?
Including 2500, it's 42,785.
What is the smallest prime number which is the sum of two distinct positive perfect squares?
5
What are the first 12 perfect squares?
1x1=12x2=43x3=94x4=165x5=256x6=367x7=498x8=649x9=8110x10=10011x11=12112x12=144So to sum it all up, the first 12 perfect squares are1,4,9,16,25,36,49,64,81,100,121,144.
How do you find the sum of all perfect squares between 5 and 30?
Here is a procedure that would do the job nicely: -- Make a list of all the perfect squares between 5 and 30. (Hint: They are 9, 16, 25, 36, and 49.) -- Find the sum by writing the numbers in a column and adding up the column.
The sum of two positive numbers is 4 and the sum fo their cubes is 28 What is the sum of their squares?
The sum of their squares is 10.
Can 5077 be expressed as the sum of two perfect squares?
Yes. 6 squared+71 squared equals 5077
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
