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Brad_Ad23
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Is there a law or theorem somewhere that states the difference between any two odd numbers is even? Or the difference between 2 even numbers is even?
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Well its also trivially obvious that the sum of any two odd primes yields an even integer over 4, yet that has not been proven yet.
Actually, the sum of ANY two odd numbers is an even number (wether they are primes or not).It is indeed obvious the sum of any two odd primes is even
You can adjust Integral's proof to proove this.Is there a law or theorem somewhere that states the difference between any two odd numbers is even?
Originally posted by Brad_Ad23
Merci
Originally posted by Brad_Ad23
Is there a law or theorem somewhere that states the difference between any two odd numbers is even? Or the difference between 2 even numbers is even?
When the difference between two odd numbers is even, it means that the result of subtracting one odd number from the other is an even number. For example, the difference between 7 and 3 is 4, which is an even number.
To prove that the difference between two odd numbers is always even, we can use the fact that an odd number can be represented as 2n+1, where n is any integer. So, if we subtract one odd number (2n+1) from another (2m+1), we get (2m+1) - (2n+1) = 2m-2n = 2(m-n), which is always an even number.
No, there are no exceptions to this rule. As mentioned earlier, the difference between two odd numbers will always result in an even number. This is because odd numbers are always separated by an even number.
No, the difference between two odd numbers can never be odd. This is because two odd numbers will always be separated by an even number, which results in an even difference. If the difference were to be odd, it would mean that the two odd numbers are not actually odd.
The concept of the difference between two odd numbers being even is useful in many areas of mathematics and science. For example, it can be used to simplify and solve equations, as well as in number theory and probability. It also helps in understanding patterns and relationships between numbers.