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primarygun
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Find the 2002nd positive integer that is not the difference of two square integers.
I have idea for the answers, but there are two.
I have idea for the answers, but there are two.
primarygun said:Find the 2002nd positive integer that is not the difference of two square integers.
I have idea for the answers, but there are two.
Popey said:I can't understand how could that be.
If we put all these numbers in a series, just one is in the place 2002!
Anyway...
x=a^2-b^2
I SUPPOSE THAT a,b>0
The difference of two square integers refers to the result of subtracting one square number from another square number, where a square number is a number that can be written as the product of two equal integers. For example, the difference of two square integers can be seen in the expression (9 - 4), where 9 and 4 are both square numbers (3^2 and 2^2, respectively).
The difference of two square integers is calculated by subtracting the smaller square number from the larger square number. For example, in the expression (25 - 16), the difference would be 9.
The difference of two square integers can have various applications in mathematics, particularly in algebra and number theory. It can be used to solve equations and find the roots of polynomials, as well as in proving theorems and solving geometric problems.
Yes, the difference of two square integers can be negative if the smaller square number is subtracted from the larger square number. For example, in the expression (16 - 25), the difference would be -9.
Yes, there are several patterns and properties of the difference of two square integers, such as the difference always being odd if the two square integers are consecutive, and the difference always being a multiple of 3 if the two square integers are both multiples of 3. These patterns and properties can be explored and proven using algebraic and geometric methods.