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Can you express every odd prime number as the difference of two squares?
Every odd number greater than one is the difference of two squares. This includes all the odd prime numbers. To find the two numbers whose difference of squares equals a particular odd number, divide the odd number by 2. The two numbers are the integers immediately below and above that dividend. For example, 17 is the difference of two squares. Divide 17 by 2 and get 8.5. The two numbers are 8 and 9. 92 - 82 = 81 - 64 = 17.
Can you express every odd prime number as the difference of two square numbers?
All odd numbers are in the form of (2n + 1) form some integer n. (2n + 1) can be expanded into (n+1)^2 + n^2, which is the difference of two squares.
How do you express a number as the product of powers of its prime factors?
You factor the number into prime factors, dividing each prime out.
Express 7 as a product of prime factor?
None. 7 is a prime number.
What are 2 prime numbers less than 20 whose difference is a prime number?
2 and 5 the difference is 3 which is a prime number
