Integer If the domain is restricted to then each and every member of has one and only one corresponding member of N and by the definition of cardinal equality the two sets have equal cardinality. Integer An integer (from the Latin "integer" meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, , and are not. The set of integers consists of zero (), the positive natural numbers (, , , …), also called "whole numbers" or "counting numbers", and their additive inverses (the negative integers, i.e.,
Blum integer Blum integer In mathematics, a natural number "n" is a Blum integer if "n = p×q" is a semiprime for which "p" and "q" are distinct prime numbers congruent to 3 mod 4. That is, "p" and "q" must be of the form 4"t" + 3, for some integer "t". Integers of this form are referred to as Blum primes. This means that the factors of a Blum integer are Gaussian primes with no imaginary part. The first few Blum integers are Blum integers were named for computer scientist Manuel Blum. All Blum integers are numbers a square-free factor number.