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Prime number: A positive integer with exactly two positive divisors: itself and 1. The primes form an infinite sequence 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ... Composite number: A positive integer that can be factored into a product of smaller positive integers. Every integer greater than one is either prime or composite.
The number 0 is the smallest nonnegative integer, and the largest nonpositive integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, [70] [71] but it is an integer, and hence a rational number and a real number. [72] All rational numbers are algebraic numbers ...
The integers arranged on a number line. An integer is the number zero , a positive natural number (1, 2, 3, . . .), or the negation of a positive natural number (−1, −2, −3, . . .). [1] The negations or additive inverses of the positive natural numbers are referred to as negative integers. [2]
The number 2 raised to any positive integer power must be even ... So x 0 is an irrational algebraic number. There are countably many algebraic numbers, since there ...
The least ordinal of cardinality ℵ 0 (that is, the initial ordinal of ℵ 0) is ω but many well-ordered sets with cardinal number ℵ 0 have an ordinal number greater than ω. For finite well-ordered sets, there is a one-to-one correspondence between ordinal and cardinal numbers; therefore they can both be expressed by the same natural ...
Dottie number [40] 0.73908 51332 15160 64165 ... Smallest positive real number A such that ... is irrational.
The Conjecture is that this is true for all natural numbers (positive integers from 1 through infinity). ... Even numbers are always 0, 2, or 4 more than a multiple of 6, while odd numbers are ...
Some irrational numbers ... The real numbers 0 and 1 are commonly identified with the ... if x is a positive real number, there is a positive integer n such that ...