5813

5813 is a natural number that follows 5812 and precedes 5814. In mathematics, it is notable for being a prime number. It is odd and not divisible by 2, 3, or 5. The number is congruent to 1 modulo 4, since 5813 mod 4 equals 1.

5813 can be expressed as a sum of two squares: 73^2 + 22^2 = 5813. This is consistent with Fermat's theorem on sums of two squares, which states that every prime congruent to 1 modulo 4 can be written as a sum of two squares.

In other contexts, 5813 may appear as a year designation in the distant future or as part of catalog numbers, product model names, or ZIP-like codes in various countries. There is no widely known historical event specifically associated with the number 5813.

For related topics, see prime numbers and representations of primes as sums of two squares.