PokéBase - Pokémon Q&A
15 votes

2018 edit: answer to the end of the Sun and Moon series (20th season).

Mod edit: if your answer does not contain an exact number, do not post it. If your answer is merely a guess, do not post it.

closed with the note: Very trivial and finding an answer would take too much work for what it's worth.
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Technically 1. After the first blast off they say their blasting off AGAIN. Which is diffrent from blasting off
We need more of these questions
I'm guessing maybe 1000+
According to this, around to 724 times from the Original Series to the Black and White Series. Will look into Kalos and Alola later.