Hardy and Ramanujan A Math Made In Heaven.

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Presentation transcript:

Hardy and Ramanujan A Math Made In Heaven

Two Famous Mathematicians G.H. Hardy (1877-1947) Srinivasa Ramanujan (1887 – 1920) (in Tamil: சீனிவாச இராமானுஜன் ) The following is a fictionalized account of their first meeting

Hardy and Ramanujan

A Steamer Like The One That Might Have Brought Ramanujan to England

Prime Numbers Hardy and Ramanujan’s work often pertained to prime numbers A prime number has two factors: 1 and itself The first several primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37. . .

How Many Primes? π(x) is the number of prime numbers less than x 1000 168 10000 1229 100000 9592 1000000 78498 10000000 664579 100000000 5761455 π(1000) = 168 means there are 168 primes less than 1000 Note: the π in π(x) isn’t related to the π in C= πd

Is There a Greatest Prime Number? Euclid (born about 300 BC) proved that the number of primes is infinite Euclid’s proof uses nothing more than 5th grade math Euclid Image from http://en.wikipedia.org/wiki/File:Euklid-von-Alexandria_1.jpg