On the largest prime factor of the Mersenne numbers Kevin Ford Department of Mathematics The University of Illinois at Urbana-Champaign Urbana Champaign, IL 61801, USA

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Acta Math. Hungar., 124 (1), 115123. DOI: s10474First published online March 12, 2009 ON THE GREATEST PRIME FACTOR OF ab + 1

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Balancing Sets of Vectors G´abor Heged˝ us Abstract Let n be an arbitrary integer, let p be a prime factor of n. Denote 2πi

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PURPLE COMET MATH MEET– April 2008 MIDDLE SCHOOL – PROBLEMS © Copyright Titu Andreescu and Jonathan Kane Problem 1 Find the greatest prime factor of the sum of the two largest two-digit prime

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Lesson 9-1 Example 1 Classify Numbers as Prime or Composite Factor each number. Then classify each number as prime or composite. a. 31 The only whole numbers that can be multiplied to get 31 are 1 and 31. Therefore, the

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groups_ECC_7B [Compatibility Mode]

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• Number theory
• Ring theory
• Greatest common divisor
• Group
• Divisor
• Prime factor
• Fundamental theorem of arithmetic
• Coprime
• Divisibility
• Mathematics
• Abstract algebra
• Algebraic structures

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• Elementary number theory
• Elementary mathematics
• Division
• Numbers
• Divisor
• Integer
• Rational number
• Fraction
• Prime factor
• Mathematics
• Abstract algebra
• Elementary arithmetic

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• Power engineering
• Electric power system
• Power factor
• Voltage drop
• Fault
• Transformer
• Power outage
• United States Army Prime Power School
• Power system protection
• Electromagnetism
• Electrical engineering
• Electric power

Worksite Wellness – Data Brief 2013 Vermont Behavioral Risk Factor Survey (BRFSS) Background With over 70% of Vermont adults currently employed1, worksites are prime settings to reach a large segment of the Vermont pop

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• Medical terms
• Occupational safety and health
• Body shape
• Nutrition
• Chronic
• Healthy diet
• Cardiovascular disease
• Cancer
• Smoking cessation
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• Medicine
• Obesity

Factorization of a 768-bit RSA modulus version 1.21, January 13, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 ,

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• Number theory
• Quadratic sieve
• Special number field sieve
• General number field sieve
• Quadratic residue
• Prime number
• Factor base
• Lattice sieving
• RSA
• Integer factorization algorithms
• Cryptography
• Mathematics