The product of the prime factors of a given integer
In number theory, the radical of a positive integer n is defined as the product of the distinct prime numbers dividing n. Each prime factor of n occurs exactly once as a factor of this product:
The radical plays a central role in the statement of the abc conjecture.[1]
^Gowers, Timothy (2008). "V.1 The ABC Conjecture". The Princeton Companion to Mathematics. Princeton University Press. p. 681.
and 23 Related for: Radical of an integer information
number theory, the radicalof a positive integer n is defined as the product of the distinct prime numbers dividing n. Each prime factor of n occurs exactly...
factors of m {\displaystyle m} , the largest square-free factor of m {\displaystyle m} (see Radicalofaninteger). In fact, this generalizes to an arbitrary...
of aninteger, in number theory, the product of the primes which divide anintegerRadicalof a Lie algebra, a concept in Lie theory Nilradical of a Lie...
This is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia ofInteger Sequences. OEIS core sequences Index to...
conjecture, the notion of the radicalofaninteger must be introduced: for a positive integer n {\displaystyle n} , the radicalof n {\displaystyle n} ...
mathematics, aninteger matrix is a matrix whose entries are all integers. Examples include binary matrices, the zero matrix, the matrix of ones, the identity...
the ring of integers). In this case the nilradical and the Jacobson radical coincide. This means we could interpret the Jacobson radical as a measure...
rover Radicalofaninteger, rad (x), in number theory Rapid application development, a software development approach Reactive attachment disorder, an emotional...
nth root of x". The definition then ofan nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x:...
multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7. An example with three indeterminates...
numeral system, which allows for the representation of any non-negative integer using a combination of ten fundamental numeric symbols, called digits. In...
root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power n. Roots of unity...
(power of) n". When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, bn is the product of multiplying...
Aninteger triangle or integral triangle is a triangle all of whose side lengths are integers. A rational triangle is one whose side lengths are rational...
numbers n such that the harmonic mean of the divisors of n is aninteger.)". The On-Line Encyclopedia ofInteger Sequences. OEIS Foundation. Retrieved...
An algebraic number is a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example...
multiplication, division, raising to integer powers, and the extraction of nth roots (square roots, cube roots, and other integer roots). A well-known example...
{\tfrac {17}{3}}} ) consists ofaninteger numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero integer denominator, displayed below...
constructed from integers (for example, rational numbers), or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered...
same kind. For example, 3 × 5 is aninteger factorization of 15, and (x – 2)(x + 2) is a polynomial factorization of x2 – 4. Factorization is not usually...
(radical symbol) 1. Denotes square root and is read as the square root of. For example, 3 + 2 {\displaystyle {\sqrt {3+2}}} . 2. With aninteger greater...
an absolute value (or magnitude) of 1 and an argument (or angle) of π 2 {\displaystyle {\tfrac {\pi }{2}}} radians. (Adding any integer multiple of 2π...