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Coprime integers
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11	DIVISIBILITY AND GREATEST COMMON DIVISORS KEITH CONRAD 1. Introduction We will begin with a review of divisibility among integers, mostly to set some notation and to indicate its properties. Then we will look at two impo Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2008-01-02 18:01:07 Elementary number theory Number theory Ring theory Elementary arithmetic Divisor Euclidean algorithm Greatest common divisor Coprime Ring Mathematics Abstract algebra Division
12	Armenian Journal of Mathematics Volume 5, Number 1, 2013, 58–68 Factor Rings and their decompositions in the Eisenstein integers Ring Z [ω] Manouchehr Misaghian Add to Reading List Source URL: ajm.asj-oa.am Language: English - Date: 2013-07-17 08:30:07 Number theory Modular arithmetic Algebraic number theory Commutative algebra Quadratic residue Quadratic reciprocity Root of unity Euclidean domain Coprime Abstract algebra Mathematics Algebra
13	Repunits #67 of Gottschalk’s Gestalts A Series Illustrating Innovative Forms of the Organization & Exposition of Mathematics Add to Reading List Source URL: gottschalksgestalts.org Language: English - Date: 2005-01-23 22:26:36 Number theory Integer sequences Repunit Probable prime Prime number Mersenne prime Coprime 11 17 Numbers Mathematics Integers
14	THE NUMBER OF PRIME DIVISORS OF A PRODUCT OF CONSECUTIVE INTEGERS R. BALASUBRAMANIAN, SHANTA LAISHRAM, T. N. SHOREY, AND R. THANGADURAI Abstract. It is shown under Schinzel’s Hypothesis that for a given ` ≥ 1, there Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2008-12-29 04:12:04 Number theory Coprime Chinese remainder theorem Prime number Arithmetic function Euclidean algorithm Mathematics Modular arithmetic Abstract algebra
15	53-rd Mathematical Olympiad in Poland Final Round, April 3–4, 2002 First Day 1. Determine all positive integers a, b, c such that the numbers a2 + 1 and b2 + 1 are prime and the following equality (a2 + 1)(b2 + 1) = c2 Add to Reading List Source URL: www.mimuw.edu.pl Language: English - Date: 2002-04-19 06:41:22 Triangle geometry Number theory Circles Circumscribed circle Triangle Coprime Geometry Triangles Geometric shapes
16	GENERATING RANDOM FACTORED GAUSSIAN INTEGERS, EASILY NOAH LEBOWITZ-LOCKARD AND CARL POMERANCE Abstract. We present a (random) polynomial-time algorithm to generate a random Gaussian integer with the uniform distribution Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2014-04-22 08:51:43 Integer factorization algorithms Modular arithmetic Primality tests Finite fields Miller–Rabin primality test Prime number Quadratic reciprocity Gaussian integer Coprime Mathematics Abstract algebra Number theory
17	2013 UI UNDERGRADUATE MATH CONTEST 1. Let a1 = 2 and an+1 = a2n − an + 1 for n = 1, 2, . . . . (i) Prove that the integers a1 , a2 , . . . are pairwise coprime (i.e., do not have a common prime factor). P 1 (ii) Prove Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2013-03-03 21:07:15 Number theory Modular arithmetic Diophantine approximation Exponentials Mathematics Floor and ceiling functions Mathematical notation
18	manuscript No. (will be inserted by the editor) Euler’s groups of powers of prime complex integers Vladimir I. Arnold Add to Reading List Source URL: rene.ma.utexas.edu Language: English - Date: 2014-04-05 12:25:53 Modular arithmetic Coprime Factorial Gaussian integer Mathematics Abstract algebra Number theory
19	2013 UI UNDERGRADUATE MATH CONTEST Solutions 1. Let a1 = 2 and an+1 = a2n − an + 1 for n = 1, 2, . . . . (i) Prove that the integers a1 , a2 , . . . are pairwise coprime (i.e., do not have a common prime factor). P 1 Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2013-03-03 21:07:08 Series Summability methods Fourier analysis Cesàro summation Fourier series Mathematical analysis Mathematics Calculus
20	Euler’s ϕ function Carl Pomerance Dartmouth College Euler’s ϕ function: ϕ(n) is the number of integers m ∈ [1, n] with m coprime to n. Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-04-10 14:56:25 Number theory Integer sequences Finite fields RSA Coprime Prime number Primality test Euclidean algorithm XTR Mathematics Public-key cryptography Electronic commerce

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