3. General Definition of Pseudoprimes | Why 85 Is Base 4 but Not Base 2 | Number Theory by M. Burton скачать в хорошем качестве

3. General Definition of Pseudoprimes | Why 85 Is Base 4 but Not Base 2 | Number Theory by M. Burton

Chapter: 5 Fermat's Theorem | Elementary Number Theory by David M. Burton | B.SC Mathematics | M.SC Mathematics | Academy of Mathematical Sciences ------------------------------------------------------------------------------------------------------------------------------------------------------- In this lecture, we discuss a following problem: Show that 85 is a base 4 Pseudoprime but not base 2. This example highlights how the concept of pseudoprimality depends on the chosen base, and why a composite integer may satisfy **Fermat’s congruence for one base but fail for another. 📌 This lecture is useful for B.Sc Mathematics students M.Sc Mathematics students Undergraduate and graduate courses in Number Theory. ------------------------------------------------------------------------------------------------------------------------------------------------------- ▶️ Link to 13 Core areas of Number Theory    • Comprehensive Number Theory Course: 13 Cor...   ▶️ To watch lectures of Number theory in Urdu language click the link below:    • NUMBER THEORY by Professor Azmat Ali || BS...   ------------------------------------------------------------------------------------------------------------------------------------------------------- #NumberTheory #Pseudoprimes #FermatsTheorem #BaseAPseudoprime #ElementaryNumberTheory #DavidBurton #PureMathematics #HigherMathematics #UniversityMathematics #MathematicsLecture #MathProofs #HigherMathematics #AcademyOfMathematicalSciences #professorazmatali