2957

2957 is a natural number that comes after 2956 and before 2958. It is a prime number, meaning its only positive divisors are 1 and itself. As a prime, 2957 is not divisible by any integer other than 1 and 2957; it is odd and congruent to 1 modulo 4 (2957 ≡ 1 (mod 4)). By Fermat's theorem on sums of two squares, 2957 can be written as the sum of two squares: 46^2 + 29^2.

In various numeral systems, 2957 is represented as 0xB8D in hexadecimal and 101110001101 in binary. In Roman numerals it is MMCMLVII. The prime property also implies φ(2957) = 2956, where φ is Euler's totient function, and its prime factorization is simply 2957.

Being a relatively small prime, 2957 does not appear as a widely cited constant or famous example, but like other integers, it is used as a label in catalogs, sequences, and identifiers. For example, minor planets and other numbered objects are assigned sequential designations, so 2957 can appear as part of such a catalog entry. In calendar terms, 2957 CE is a year far in the future.