6791

6791 is a natural number that follows 6790 and precedes 6792. In mathematics, it is identified as a prime number, meaning its only positive divisors are 1 and itself. It is odd and greater than 2, and a quick primality check confirms that no prime number up to the square root of 6791 (approximately 82.4) divides it. Consequently, 6791 is not a multiple of any smaller primes such as 2, 3, 5, 7, 11, and so on.

As a prime congruent to 3 modulo 4, 6791 cannot be expressed as a sum of two squares; this is a consequence of Fermat’s two-squares theorem. This property distinguishes 6791 from primes that are congruent to 1 modulo 4, which may admit representations as a^2 + b^2.

In base representations, 6791 can be written as 11010100000111 in binary. Its decimal form is the most common representation, but other bases can yield different insights into its arithmetic structure.

Beyond pure number theory, 6791 may appear as an identifier in various catalogs or databases, such as project numbers, catalog entries, or model numbers. However, there is no widely recognized meaning for 6791 beyond its role as a prime integer in mathematical contexts.