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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

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Q: What is the link between the product of any four consecutive positive integers and some square numbers?
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The numbers are 65 and 67.


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The numbers are 12 and 14.


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What is the number of non-square numbers between 2 consecutive numbers?

There is no such thing as consecutive numbers because numbers are infinitely dense. Between any two numbers there is another and so there is no such thing as a "next" number.There are no integers (square or non-square) between any two consecutive integers. There are infinitely many numbers between any two consecutive integers and, if the integers are non-negative, every one of these will be a square of some number so the answer is none. If the integers are negative then the infinitely many numbers will have a square root in the complex field but not in real numbers. In this case the answer is either none or infinitely many, depending on the domain.


What are two consecutive numbers that have a product between 559 and 560?

Consecutive numbers implies integers. Rational or real numbers are infinitely dense so there is no "next" number. There can be no pairs of integers such that their product is a fractional number between 559 and 560.


What are the two consecutive whole numbers that the square root of 204 falls between?

-15 and -14 or 14 and 15 <><><><><> Or, if you consider whole numbers to be positive integers, then just 14 and 15.


What consecutive numbers are equal to 8?

Consecutive integers added or subtracted will turn out to be odd numbers. You can't make 8 with consecutive integers.


What is a consecutive positive integer?

A consecutive positive integer is the next positive whole number following a given integer. For example, the consecutive positive integers after 5 would be 6, 7, 8, and so on.