1 thought on “how to to express an odd composite number as the difference of two square numbers”
Answer:
Since a – b = 1, b = a-1, so b = \frac{p+1}{2} – 1 = \frac{p-1}{2}. Thus, any odd prime can be written as the difference of two squares. Any square number n can also be written as the difference of two squares, by taking a = \sqrt{n} and b = 0.
Answer:
Since a – b = 1, b = a-1, so b = \frac{p+1}{2} – 1 = \frac{p-1}{2}. Thus, any odd prime can be written as the difference of two squares. Any square number n can also be written as the difference of two squares, by taking a = \sqrt{n} and b = 0.