What is Ramanujan's Constant?
e^(π√163): terrifyingly close to a whole number
Table of Heegner numbers and how close e to the pi root is t
Related topics
Key facts about Ramanujan
Srinivasa Ramanujan (1887-1920) was a self-taught Indian mathematician who produced extraordinary results. His 1914 series 1/pi = (2*sqrt(2)/9801) * sum of (4n)!(1103+26390n)/((n!)^4 * 396^(4n)) adds about 8 decimal digits per term and remains the basis of modern pi computation. His partition function formula was the first exact result for p(n). Ramanujan's constant e^(pi*sqrt(163)) ≈ 262537412640768743.99999999999925 is nearly an integer due to properties of the j-function.
Used in
Mathematics
✓
Physics
✓
Engineering
-
Biology
-
Computer Sci
-
Statistics
-
Finance
-
Art
-
Architecture
-
Music
-
Cryptography
-
Astronomy
-
Chemistry
-
Philosophy
-
Geography
-
Ecology
-
Want to test your knowledge?
Question
Is Ramanujan's constant irrational?
tap · space
1 / 10
Ready to play?
Pi
Memorize pi, e, and 38 mathematical constants using the numpad path method
Play nowWorks on any device.
Topic roundups