24901

24901 is a natural number that follows 24900 and precedes 24902. In mathematics, it is notable for being a prime number, meaning it has no positive divisors other than 1 and itself. Its primality implies that any factorization of numbers near it does not involve 24901 as a factor.

A additional property of 24901 is that it is congruent to 1 modulo 4. This allows it to be expressed as the sum of two squares: 24901 = 150^2 + 49^2. This representation aligns with a classical result in number theory: every prime p with p ≡ 1 (mod 4) can be written as a^2 + b^2 for some integers a and b.

In decimal form, the digits of 24901 are 2, 4, 9, 0, and 1. The number does not form a palindrome and has no simple repeating pattern in its digits. As a member of the sequence of natural numbers, 24901 appears in various numerical lists and discussions of prime numbers, but it does not carry a widely recognized historical or cultural association on its own.

Outside pure mathematics, five-digit numbers such as 24901 can serve as identifiers in various systems (for example, postal codes or catalog numbers), but such uses depend on the specific context and are not intrinsic to the number’s mathematical properties.

See also: 24900, 24902, List of prime numbers, Sum of two squares.