I think it goes like this:
Every gym battle, Pikachu gains 1 level. And every other major battle, he gains 0.5 level. Also, every time Pikachu loses, it's minus 0.5 level. So basically each season he gains about 10 levels. And pokemon right now has like what, 6 or 7 seasons, I don't really know. So Pikachu is level 60-70.
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