Jump to line in vim with relativenumber on

In a normal situation it's possible to look at the line number and use [number]G to goto that line. But I like to work with the setting relativenumber on. The disadvantage is that I can't jump to lines anymore by looking at the displayed line number.

Is it possible to redefine the behavior of [number]G to fix this? Also, would it be possible to make the current line number 1 instead of 0 with relativenumber on? And how?