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We know of a few times Vegeta was stronger than Goku.

  * Before arriving to Earth, prior Goku learnt kaioken (This shouldn't count as surpassing, since he started being stronger)

  * The first time he went out of the time chamber.

  * The time Beerus slapped Bulma. 

But there were other times, I'm sure, and there are some dubious ones, like
the first time he became super saiyan, if I recall correctly, it was Piccolo
who stated Vegeta might have surpassed Goku.

Therefore my question is,

How many times Vegeta has surpassed Goku in power?


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dragon-ball-series dragon-ball-super
How many times Vegeta has surpassed Goku in power?


Vegeta has surpassed Goku on a few occasions! Only for a short duration
though. Here is a list of all the times Vegeta surpassed Goku.

*  **Android Saga(When Vegeta First turns SSJ)** : It was mentioned by Picollo when Vegeta turned SSJ that he was notably stronger than Goku. This was the same time Goku was infected with the heart virus. 
* **Cell Games(Post HTC)** : Once Vegeta and Future Trunks came out of the HTC just before Goku went in with Gohan, Vegeta was obviously stronger than Goku then.
*  **Battle of Gods(vs Beerus)** : This is notably the highest margin by which Vegeta has surpassed Goku. Base Vegeta was definitely as stronger or weaker than Base Goku at this time. The SSJ2 transformation is a 100 times multiplier while the SSJ3 is a 400 times multiplier. Vegeta surpassing the same with his rage boost, made him a lot stronger than SSJ3 Goku.
*  **6 Months of training with Whis** : We do not know this to a certainty, however, it was stated by Goku once he went to Beerus's world to train with Whis that Vegeta might be as strong or possibly even stronger than him. 
* **Rematch against Goku Black(Note: Kaioken is not considered here because it is a special technique)** : While Goku was mastering the mafuba, Vegeta trained in the HTC and surpassed Goku. Vegeta overwhelmed Black until he converted his ki blade to a scythe.(Black was slower, yet his power had surpassed Vegeta's again). Also, note that this might not be very accurate because we see Goku pushing back a holy wrath from Merged Zamasu and fighting him on his own while Future Trunks(SSJ Rage)+SSJB Vegeta together struggled to push back a beam attack from Merged Zamasu. My only explanation for the same is that Goku got a Zenkai Boost which made him as strong as Vegeta was by the end of this arc.


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All the above plus when vegeta healed up after his fight with Racoom is
suspect. Again short lived as goku came back from his near death experience
stronger.


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