1. Hardy and Ramanujan
A Math Made In Heaven

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

3. Hardy and Ramanujan

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

5. 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,

6. How Many Primes? π(x) is the number of prime numbers less than x
1000
168
10000
1229
100000
9592
78498
664579
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

7. 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