Integer 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., −1, −2, −3, …). The set of integers is often denoted by a boldface Z ("") or blackboard bold formula_1 (Unicode U+2124 ℤ) standing for the German word "Zahlen" (, "numbers"). The integers form
Smooth number it is what the General number field sieve uses to build its notion of smoothness under the homomorphism formula_15. The On-Line Encyclopedia of Integer Sequences (OEIS) lists "B"-smooth numbers for small "B"s: Smooth number In number theory, a smooth (or friable) number is an integer which factors completely into small prime numbers. For example, a 7-smooth number is a number whose prime factors are all at most 7, so 49 = 7 and 15750 = 2 × 3 × 5 × 7 are both 7-smooth, while 11 and 702 = 2 × 3 × 13 are not. The term seems