Q: Is there any square number that equals the sum of consecutive integers?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

If you define a rectangular number as a number which is the product of two consecutive integers, it cannot be square.

The square of 3 is 9, which does not lie between consecutive integers. Perhaps you mean the square root of 3, which lies between 1 and 2.

A square number is the product of the same two integers. A rectangular number is the product of consecutive integers.

The square roots of 117 are irrational numbers and so are not two integers - consecutive or otherwise.

If you define a rectangular number as a number which is the product of two consecutive integers, it cannot be square.

Related questions

If you define a rectangular number as a number which is the product of two consecutive integers, it cannot be square.

9 and 10

The square of 3 is 9, which does not lie between consecutive integers. Perhaps you mean the square root of 3, which lies between 1 and 2.

A square number is the product of the same two integers. A rectangular number is the product of consecutive integers.

two consecutive integers of the square root of 66 found between

The square roots of 117 are irrational numbers and so are not two integers - consecutive or otherwise.

No, it is not possible.

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.

The integers are 7, 8 and 9.

Between 2 and 3.