Mathematics for Data Science 1 - W1_L8: Prime numbers - euclids proof infinitude & applications in cryptography

Welcome to Week 1 Lecture 8 of the course Mathematics for Data Science I by Profs. Neelesh Upadhye, Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1001.html Video Overview Explore the fascinating world of prime numbers. This lecture addresses the fundamental question of whether there are infinitely many primes. We examine Euclid's elegant proof from 300 BCE that demonstrates the infinitude of primes. The session also discusses a divisibility rule crucial to the proof and briefly touches upon prime number distribution along with their surprising applications in modern cryptography. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #Mathematics #DataScience #MathForDataScience #PrimeNumbers #Euclid #Proof #InfinitudeOfPrimes #NumberTheory #Divisibility #Cryptography #PrimeNumberTheorem #Factoring #CompositeNumbers #IITMadrasBS #OnlineLearning #MathBasics