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The square-free part is 7, the square-free factor such that the quotient is a square is 3 ⋅ 7 = 21, and the largest square-free factor is 2 ⋅ 3 ⋅ 5 ⋅ 7 = 210. No algorithm is known for computing any of these square-free factors which is faster than computing the complete prime factorization.
Every residue class in this group contains exactly one square-free integer, ... Unsolved Problems in Number Theory, Problem Books in Mathematics (Book 1) (3rd ...
1. The class number of a number field is the cardinality of the ideal class group of the field. 2. In group theory, the class number is the number of conjugacy classes of a group. 3. Class number is the number of equivalence classes of binary quadratic forms of a given discriminant. 4. The class number problem. conductor
In mathematics, a square-free element is an element r of a unique factorization domain R that is not divisible by a non-trivial square. This means that every s such that s 2 ∣ r {\displaystyle s^{2}\mid r} is a unit of R .
Every such quadratic field is some () where is a (uniquely defined) square-free integer different from and . If d > 0 {\displaystyle d>0} , the corresponding quadratic field is called a real quadratic field , and, if d < 0 {\displaystyle d<0} , it is called an imaginary quadratic field or a complex quadratic field , corresponding to whether or ...
Square root of two; Quadratic irrational; Integer square root; Algebraic number. Pisot–Vijayaraghavan number; Salem number; Transcendental number. e (mathematical constant) pi, list of topics related to pi; Squaring the circle; Proof that e is irrational; Lindemann–Weierstrass theorem; Hilbert's seventh problem; Gelfond–Schneider theorem ...
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