/sci/ - Science & Math

[Anonymous No.5293982]

Doesn't it blow your fucking mind that the sum <span class="math">\displaystyle\sum\limits_{k=1}^{\infty}\left(\displaystyle\frac{1}{P_k}\right[/spoiler], where <span class="math">P_k[/spoiler] is the kth prime, diverges but <span class="math">\displaystyle\sum\limits_{k=1}^{\infty}\left(\displaystyle\frac{1}{k^{1+\epsilon}}\right)[/spoiler] converges for ANY <span class="math">\epsilon>0[/spoiler], no matter how small of an epsilon.
Topic of thread: Post mathematical "stuff" that still blow your mind even after you proved them
and understood them.