6089

6089 is a natural number that follows 6088 and precedes 6090. In decimal notation it is written as four digits and is odd.

Mathematics: 6089 is a prime number, meaning it has no positive divisors other than 1 and itself. Its primality can be checked by testing divisibility by primes up to the square root of 6089. It is also congruent to 1 modulo 4, which implies a representation as a sum of two squares.

A notable property of 6089 as a prime congruent to 1 modulo 4 is that it can be expressed as a sum of two squares: 6089 = 67^2 + 40^2. This representation is unique up to the order and signs of the addends, a consequence of Fermat’s theorem on sums of two squares.

Beyond its role in basic arithmetic, 6089 may appear in various mathematical contexts as an example of a prime in the range of four-digit numbers. It does not have a widely recognized designation beyond its numeric value and is typically encountered as a unit in numerical lists, sequences, or as an identifier in datasets.