50129

50129 is a natural number that follows 50128 and precedes 50130. It is an odd integer and, in mathematical contexts, may appear as an example in discussions of prime numbers and related concepts.

In number theory, 50129 is a prime number, meaning its only positive divisors are 1 and itself. It is not divisible by any primes less than or equal to its square root (approximately 224). Because 50129 is congruent to 1 modulo 4, it can be expressed as the sum of two squares, and in the Gaussian integers it factors as a product of two conjugate factors.

In hexadecimal notation, 50129 equals 0xC3D1. This can be useful for computer science contexts where hexadecimal representations aid in debugging or data encoding.

Summary and context: 50129 does not have widely known special names or constants associated with it, but as a prime number congruent to 1 mod 4 it occupies a standard place in elementary number theory. It may appear in lists of primes or as an incidental identifier in datasets, but there is no widely recognized cultural or applied significance beyond its mathematical properties. See also prime numbers, sums of two squares, and Gaussian integers for related topics.

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