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Q: Is The difference between consecutive perfect square numbers is always odd?

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None, although "perfect square" tends to be used for whole 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

It is a perfect square. The sum of the n and n+1th triangular numbers is (n+1)2

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.

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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None, although "perfect square" tends to be used for whole numbers.

the difference between perfect and imperfect oligopoly

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

The two perfect numbers between 1 and 30 are: 6, 28

It is a perfect square. The sum of the n and n+1th triangular numbers is (n+1)2

There are no perfect numbers between 20 and 30. Perfect numbers are numbers that are equal to the sum of their proper divisors, excluding the number itself. The perfect numbers within this range would be 28, but that is incorrect as 28 is not a perfect number.

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.

There are 31 perfect square numbers between 1 and 1000 (including 1).

There is a one-to-one relationship between even perfect numbers and Mersenne primes. It is unknown whether there are any odd perfect numbers.

Three numbers.

The only perfect number between 20 and 50 is 28.

There are 24 perfect squares between 50 and 1000.