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No, it is not possible.

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Q: Can the sum of the first n consecutive positive integers be equal to the square of a prime number?
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Related questions

What are two consecutive positive integers such that the sum of their square is 25?

The numbers are 3, and 4.


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


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Can a rectangular number be a square number?

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


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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.


What is the difference between a square and a rectangular number?

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


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What are two consecutive integers of the square root of 117?

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