/sci/ - Science & Math

>>15143826
>In particular, my (stupid) question is if there exists a series ∑an such that ∀n∈Nan∈R∖Q but the series converges to an integer. I believe it should exist but I don't know any.
[math]a_n = \dfrac{6}{\pi^2 n^2}[/math] since [math]\displaystyle \sum_{n = 1}^{\infty} \dfrac{1}{n^2} = \dfrac{\pi^2}{6}[/math]
>>15143999
How do you prove all of those integrals are irrational?