Liberal Arts Mathematics II

Liberal Arts Mathematics II: Number Theory

Breaking Down 48; Fundamental Theorem of Arithmetic

http://youtu.be/y2YRAVOAeWA

Breaking Down 100, 252; If we always divide by smallest available number we always divide by primes

http://youtu.be/pBD_cHFST4Y

Reducting a Fraction; Greatest Common Divisor, Least Common Multiple of 48, 256

http://youtu.be/KJaKZLAEFtc

Abundant, Deficient and Perfect Numbers

http://youtu.be/haadqDmFtNQ

The Sieve of Erasthones; the importance of the 'next square'

http://youtu.be/NB2ouv_w-Kk

If 235+1 isn't prime, there must be a prime > 5; If it is prime, there's a prime > 5. So there's a prime > 5 (we knew than anyway)

http://youtu.be/WrsU-7L9jok

If 235*711131719 + 1 isn't prime ...; Infinitude of Primes

http://youtu.be/hnMi9JT8kbE

An interesting property of the pair 284; 234

http://youtu.be/3iZHHfrv3k4

Mersenne Primes

http://youtu.be/EaUwbweWVg4

Is 2^11 - 1 prime?

http://youtu.be/DiBB3OzZBtU

Twin Primes; Goldbach, Fermat

http://youtu.be/flpgqZ3K7i8

The Euclidean Algorithm

http://youtu.be/ACSOXoCiHFc

Rabbits and Fibonacci

http://youtu.be/if3Qfx-utac

Bees

http://youtu.be/lZRefFlL5FM

Fibonacci Ratios, Golden Rectangles (watch instructor mess up the algebra)

http://youtu.be/sbYIQf8CghA

Chambered Nautilis, Sunflower Spirals

http://youtu.be/XRLSZC59rII