5257

5257 is the natural number that follows 5256 and precedes 5258. It is an odd composite integer.

Its prime factorization is 5257 = 7 × 751, with both 7 and 751 prime. Therefore 5257 is a semiprime, meaning it has exactly two prime factors counted with multiplicity.

Because both prime factors are congruent to 3 modulo 4 (7 ≡ 3 mod 4 and 751 ≡ 3 mod 4), 5257 cannot be expressed as the sum of two squares, according to a standard result in number theory. In modular terms, 5257 is congruent to 1 modulo 4 and also 1 modulo 8.

The factorization 5257 = 7 × 751 serves as a simple example of semiprimes and is occasionally used to illustrate factorization algorithms and topics in elementary number theory. Beyond mathematics, there is no widely noted standard usage or designation for 5257.