# Exists an actual number lookup algorithm or solution?

Exists a means of taking a number recognized to minimal accuracy (e.g. $1.644934$) and also figuring out an "intriguing" actual number (e.g. $\displaystyle\frac{\pi^2}{6}$) that's close to it?

I'm considering something like Sloane's Online Encyclopedia of Integer Sequences, just genuine numbers.

The planned usage would certainly be: write a program to compute an estimate to $\displaystyle\sum_{n=1}^\infty \frac{1}{n^2}$, seek out the solution (" looks near $\displaystyle\frac{\pi^2}{6}$") and afterwards make use of the most likely response to aid locate an evidence that the amount actually is $\displaystyle \frac{\pi^2}{6}$.

Does something exist?

I've long made use of Simon Plouffe's inverse symbolic calculator for this objective. It is basically a searchable checklist of "intriguing" numbers.

Sometimes the decimal figures of numbers will certainly show up in Sloane's On - Line Encyclopedia of Integer Sequences OIES.

E.g. here is the decimal development of pi.

Related questions