Yes. One has to be the square of an odd number. The other square has to the the square of the even number either before or after the odd number. If this is confusing just plug in real values. In either case, an odd times and odd is odd. Therefore one of the squares has to be odd. AN even times an even, however, is always even. Therefore, the second square has to be even. Thus, one of the squares is even and the other is odd. An even plus and odd is always odd.
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The sum of the first 950 consecutive odd numbers is 902,500. This is actually a very easy calculation. To determine the sum of any number of consecutive odd numbers beginning with the number 1, simply square the number. In your case, 950 squared is 902,500.
Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.
ODD NUMBERS. If you take two consecutive whole (non zero) numbers then one will be an odd number and the other will be an even number. The sum of an odd number and an even number is always an odd number.
There are no two consecutive odd numbers.
The consecutive odd number with a product of 12099 are 109 and 111.