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Earn +20 ptsQ: Is The difference between consecutive perfect square numbers is always odd?
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Difference between square and perfect square?
None, although "perfect square" tends to be used for whole numbers.
What is the link between the product of any four consecutive positive integers and some square numbers?
The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1
What is the result of combining two consecutive triangle numbers?
It is a perfect square. The sum of the n and n+1th triangular numbers is (n+1)2
Is there any perfect numbers that are in between 1 and 30?
No, there are no known perfect numbers between 1 and 30. The only perfect numbers that have been discovered are 6, 28, 496, and 8128.
Are there more mersenne primes known as there are perfect numbers?
There is a one-to-one relationship between even perfect numbers and Mersenne primes. It is unknown whether there are any odd perfect numbers.
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