Integer (computer science) at least 32 bits on any computer. Programmers may also incorrectly assume that a pointer can be converted to an integer without loss of information, which may work on (some) 32-bit computers, but fail on 64-bit computers with 64-bit pointers and 32-bit integers. A "short integer" can represent a whole number that may take less storage, while having a smaller range, compared with a standard integer on the same machine. In C, it is denoted by short. It is required to be at least 16 bits, and is often smaller than a standard integer, but this is not required. A
Gaussian integer to 3 modulo 4 (that is, it may be written , with a nonnegative integer) . The other prime numbers are not Gaussian primes, but each is the product of two conjugate Gaussian primes. A Gaussian integer is a Gaussian prime if and only if either: In other words, a Gaussian integer is a Gaussian prime if and only if either its norm is a prime number, or it is the product of a unit () and a prime number of the form . It follows that there are three cases for the factorization of a prime number in the