After the liouville number was proved, many mathematicians devoted themselves to the study of transcendental numbers. 1873, the French mathematician Charles Hermite (1822- 190 1) proved the transcendence of the base e of natural logarithm, which made people understand the transcendental number more clearly. 1882, German mathematician Lin Deman proved that pi is also a transcendental number (completely denying the possibility of drawing a circle as a square).

In the process of studying transcendental numbers, david hilbert once put forward a conjecture: A is an algebraic number that is not equal to 0 and 1, B is an irrational algebraic number, and A B is a transcendental number (the seventh problem in the Hilbert problem).

This conjecture has been proved, so it can be concluded that e and π are transcendental numbers.