3049

3049 is a natural number that follows 3048 and precedes 3050. In elementary number theory, it is a prime number. It is odd and not divisible by 3 or 5, and it has no divisors less than or equal to 55. Its primality can be checked by testing primes up to sqrt(3049), which is approximately 55.2. A notable property is that 3049 can be written as the sum of two integer squares: 3049 = 45^2 + 32^2. Consequently, 3049 factors in the Gaussian integers as (45 + 32i)(45 - 32i).

Historically, 3049 is also used as a year designation in the Gregorian calendar, a future date in common discourse. As a numeric identifier, 3049 appears in various catalogs and part numbers across disciplines, including electronics, manufacturing, and astronomy, where it serves as a code or model number rather than a symbol with inherent meaning.

Notable objects or events specifically named '3049' are not widely recognized, and the number is typically encountered only as a numeric label. In mathematical references, 3049's primality and its representation as a sum of squares are the primary established properties.