32. gcd⁡(𝑎+𝑏,𝑎^2+𝑏^2 )=1𝑜𝑟 2 | gcd⁡(𝑎+𝑏,𝑎^2−𝑎𝑏+𝑏^2 )=1 𝑜𝑟 3 | Problems 2.4 | question 4 | M. Burton скачать в хорошем качестве

32. gcd⁡(𝑎+𝑏,𝑎^2+𝑏^2 )=1𝑜𝑟 2 | gcd⁡(𝑎+𝑏,𝑎^2−𝑎𝑏+𝑏^2 )=1 𝑜𝑟 3 | Problems 2.4 | question 4 | M. Burton

Elementary Number Theory by David M. Burton | Problems 2.4 Chapter#2 Divisibility Theory in the Integers In this lecture I will discuss question number 4 (c) and 4(d) of problems 2.4. This question is related to properties of greatest common divisor (gcd). This question can be stated as If gcd⁡ (𝑎,𝑏)=1 then show 1. gcd⁡(𝑎+𝑏,𝑎^2+𝑏^2 )=1 𝑜𝑟 2 2.gcd⁡(𝑎+𝑏,𝑎^2−𝑎𝑏+𝑏^2 )=1 𝑜𝑟 3 ------------------------------------------------------------------------------------------------------------------------------------------------------- ▶️ Link to 13 Core areas of Number Theory    • Comprehensive Number Theory Course: 13 Cor...   ------------------------------------------------------------------------------------------------------------------------------------------------------- #NumberTheory #DavidMBurton #ElementaryNumberTheory #DivisibilityTheory #GCD #GreatestCommonDivisor #MathematicsLecture #MathsForBSStudents #MathsLectureSeries #HigherMathematics #UniversityMathematics #Maths4U #IntegerProperties #MathTutorial #MathProblemSolving #professorazmatali #academyofmathematicalsciences