4091

4091 is a natural number that comes after 4090 and before 4092. It is an odd integer and is noted in number theory as a prime in the 4000s.

Prime status: 4091 is prime. It has no positive divisors other than 1 and itself. It is not divisible by any prime less than or equal to 61, and since sqrt(4091) is about 64, this confirms primality. The number is congruent to 3 modulo 4, placing it in the 4k+3 class of primes.

Representations: In hexadecimal notation, 4091 is 0x0FFB. This reflects its position near 4096, which is 0x1000. As a prime, its divisors are limited to 1 and 4091.

Context: 4091 does not have widely recorded cultural or historical associations. It is primarily encountered in abstract mathematical contexts, such as prime testing, modular arithmetic, and discussions of number theory sequences.