Mersenne Primes

In this video Mersenne numbers are discussed. They are first defined. Then the development of the numbers from the time of Mersenne is shown. Their connection with the Perfect numbers is shown. The different numbers which are connected with Mersenne numbers such as Double Mersenne Numbers, Catalan Mersenne Numbers and Gaussian Mersenne Numbers are also defined. The different properties of Mersenne numbers are given. Their applications and uses are also discussed. Notes, Practice problems and solutions can be found on my website www.profpritibajpai.com #Numbertheory#Gaussianintegers#gaussiandivision algorithm#numberline #mathsbasics #engineeringmathematics #mathlecture #mathmadeeasy #mathmadesimple#basicsofbinomialmadesimple#mathsforcomputerscience #Basicmathsforphysics #mathsformanagement#mathsforbiostudents #mathsbasicsnotexplainedinclass#Gaussiandivision#gcdofgaussianintegers 00:00 Introduction 00:10 Definition of Mersenne Numbers and Primes 00:16 A result by Mersenne 01:35 First few values of Mersenne Number and prime 02:56 Development of Mersenne Primes 06:00 Perfect Numbers and Mersenne Primes 07:24 Some facts about Mersenne Numbers 08:04 Double Mersenne Numbers 09:10 Catalan Mersenne Numbers 10:25 Gaussian Mersenne Numbers 10:42 Properties of Mersenne Numbers 11:13 Practical Applications 11:33 Other uses of Mersenne Numbers Next Video on Fibonacci Numbers