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Prime factor
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51	pomerance.qxp[removed]:16 AM Page[removed]A Tale of Two Sieves Carl Pomerance (This paper is dedicated to the memory of my friend and Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:07 Numbers Quadratic sieve General number field sieve Lenstra elliptic curve factorization Prime number Integer factorization Factorization Sieve of Eratosthenes Factor base Integer factorization algorithms Mathematics Number theory
52	Warmup11 1. What is the greatest prime factor of (52)2 – (42)2? 2. Add to Reading List Source URL: www.agmath.com Language: English - Date: 2014-04-03 18:02:13 Number Division 0 Pi Arithmetic Ratio Mathematics Elementary arithmetic Fraction
53	PDF Document Add to Reading List Source URL: www.storage.jak-stik.ac.id Language: English - Date: 2000-04-25 13:00:00 Quadratic sieve TWINKLE General number field sieve RSA Key size Factor base Prime number Factorization RSA numbers Integer factorization algorithms Cryptography Mathematics
54	Warmup11 1. What is the greatest prime factor of (52)2 – (42)2? 2. Add to Reading List Source URL: agmath.com Language: English - Date: 2014-04-03 18:02:13 Number Division 0 Pi Arithmetic Ratio Mathematics Elementary arithmetic Fraction
55	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
56	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
57	Numbers with a large prime factor II Roger Baker and Glyn Harman To Klaus Roth with warmest good wishes on the Add to Reading List Source URL: www.math.byu.edu Language: English - Date: 2008-12-01 11:48:05 Biblical criticism Estimation theory Lemmas Exponentials Exponentiation Mathematics
58	SMOOTH NUMBERS AND THE QUADRATIC SIEVE Carl Pomerance When faced with a large number n to factor, what do you do first? You might say “Look Add to Reading List Source URL: www.math.leidenuniv.nl Language: English - Date: 2004-11-24 09:42:47 Quadratic sieve General number field sieve Quadratic residue Special number field sieve Lenstra elliptic curve factorization Euclidean algorithm Prime number Sieve of Eratosthenes Smooth number Integer factorization algorithms Mathematics Number theory
59	The Number Field Sieve Factorization of Large Numbers Add to Reading List Source URL: wob.iai.uni-bonn.de Language: English - Date: 2006-11-06 07:51:37 Numbers Special number field sieve General number field sieve Quadratic sieve Lenstra elliptic curve factorization Sieve theory Prime number Prime factor Rational sieve Integer factorization algorithms Number theory Mathematics
60	Constructing a ten billion factor Carmichael number Steven Hayman and Andrew Shallue Add to Reading List Source URL: math.ucsd.edu Language: English - Date: 2012-07-24 17:13:17 Number theory Modular arithmetic Carmichael number Prime number Fermat pseudoprime Primality test Integer sequences Pseudoprimes Mathematics