Pronic Number Checker

Check whether a nonnegative integer equals the product of two consecutive integers.

Description

Check whether a nonnegative integer equals the product of two consecutive integers.

Check whether a nonnegative integer equals the product of two consecutive integers.

When to use Pronic Number Checker

Use this tool to test or transform exact integers according to the named number-theory definition, for education, validation, or algorithm checks.

Integer
An integer input greater than or equal to 0.

How the calculation works

The formula below determines the tool output. Pronic number: Whether pronic number is true.1

n is pronic when n = k(k + 1) for an integer k

Limitations and assumptions

This tool applies an exact integer definition within JavaScript's safe-integer range. It is not an arbitrary-precision factorization or proof system, so do not use rounded measurements or integers beyond the accepted domain as though they were exact.

Alternative or Complementary approaches

Complement a number-property result with its factorization, divisors, digit representation, or a second independent predicate. A true result establishes only the named property and does not imply other properties such as primality.

References

  1. Pronic number — Wikipedia contributors

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