5099

5099 is a natural number that follows 5098 and precedes 5100. In mathematics, 5099 is a prime number, meaning its only positive divisors are 1 and itself. It is an odd four-digit integer with a decimal representation of 5099.

Primality and divisibility: The square root of 5099 is about 71.4, so checking divisibility by primes up to 71 is sufficient to establish primality. It is not divisible by any of 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, or 71. Therefore, 5099 is prime.

Representations: In binary, 5099 is 1001111101011, and in hexadecimal, it is 0x13EB.

Number theory note: As a prime congruent to 3 modulo 4 (5099 ≡ 3 mod 4), it cannot be expressed as a sum of two squares.

Usage and context: The numeral 5099 may appear in general numbering, cataloging, or modeling contexts as an identifier or designation. It does not denote a widely recognized mathematical constant or theorem.