Today I read the following brief but insightful account of Ramanujan's approach to mathematics: <https://www.imsc.res.in/~rao/ramanujan/images/KSRchap3.pdf> and while reading this I wondered whether we have a lower-bound on the percentage of Ramanujan's conjectures which are correct. 


I'm planning to get a copy of Ramanujan's notebooks. Meanwhile, the above question intrigues me. 



Percentage of Ramanujan's conjectures that were proven correct
[This interview with Prof. Bruce Berndt](https://web.archive.org/web/20130925201456/http://www.frontline.in/static/html/fl1617/16170810.htm) indicates the percentage of correct results from his notebooks to be greater than 99.7%. (See also this [longer writeup.](https://faculty.math.illinois.edu/~berndt/articles/aachen.pdf))



> 
> Between 1903 and 1914, before Ramanujan went to Cambridge, he compiled
>  3,542 theorems in the notebooks. I have gone through every entry in
>  the notebooks. If a result has already been proved in the literature,
>  then I just wrote the entry down and said that proofs can be found in
>  this literature and so on.There are a number of misprints. I did not
>  count the number of serious mistakes but it is an extremely small
>  number - maybe five or ten out of over 3,000 results. Considering that
>  Ramanujan did not have any rigorous training, it is really amazing
>  that he made so few mistakes.
> 
> 
> 


[Bruce Berndt, Ramanujan's Notebooks, parts I--V.](https://www.springer.com/series/741)


*side question:* The [Ramanujan–Petersson conjecture](https://en.wikipedia.org/wiki/Ramanujan%E2%80%93Petersson_conjecture) for Maass forms is still open.


