By Team Aakash Byju's | 21st December 2022
Srinivasa Ramanujan has contributed a lot to solving mathematical analysis, number theory, infinite series, etc. Here are his top 5 contributions.
This number is known as the Ramanujan number. The mystery behind this number is that :
The smallest natural number is expressed as the sum of two cubes, in two different ways. 1729 = 1 + 12 or 1729 = 9 + 10
3
3
3
3
Ramanujan found a formula for infinite series for π, that helped in an accurate approximation of π.
1
(4k)! (1103+26390k)
(k!)
4
π
=
2√2
9801
∑
k = 0
∞
(396)
4k
The n Ramanujan prime number is the least integer R , for which there are at least n primes between x & x , for all x ≥ Rn.
The first five Ramanujan primes are 2, 11, 17, 29, 41
th
n
2
f(a,b)
a
=
∑
n=-∞
∞
2
n(n+1)
b
2
n(n-1)
Ramanujan beautifully represented the generalised form of the Jacobi triple product as
He created a 3×3 square such that each cell is filled with unique numbers from 1-9 & the sum of numbers in each row, each column, and in each diagonal will be equal.
4
3
8
9
2
5
7
6
1
15
15
15
15
15
15
15
15