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

n

Search starts above this value.

The formula below determines the tool output. p: Next prime.^[1]

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.

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.

• Emirp Checker

  Check whether a prime integer yields a different prime when its digits are reversed.

• Mersenne Number Checker

  Check whether a nonnegative safe integer equals 2^n - 1 for a positive integer n.

• Prime Number Checker

  Check whether a safe integer is prime using deterministic trial division.