Did Jiraiya teach Minato the summoning technique?


I recently watched the _Chuunin exam arc_ and saw how Jiraiya taught the
summoning technique to Naruto. Jiraiya showed the toad contract scroll to
Naruto and wrote his name next to Jiraiya's.

In the flashback that shows how Minato fought with the Kyuubi, Minato entered
the scene with Gamabunta, which means that he had signed the contract too.

If the other names written on the scroll include Minato's name, why is his
name written first before Jiraiya's?

![The scroll in question](https://i.stack.imgur.com/d919L.jpg)




I've been searching for this, all I could find was:

It's true: "Jiraiya, who took a special interest in Minato and took him on as
an apprentice, amongst other things teaching him the Summoning Technique and
senjutsu."

As more: "In his youth, Jiraiya taught Minato how to use the Summoning
Technique to summon toads. He was able to summon Gamabunta, showing
considerably proficiency in this technique as he was one of the few people
that Gamabunta would willingly cooperate without hesitation."

We also know that: "Before an animal summoning can be performed, a prospective
summoner must first sign a contract with a given species."

Plus: "Not much is known about Minato's relationship with the toads but
apparently he was well-respected among them. His only known summons were
Gamabunta and Gerotora."

From all of this I can deduce that, or it's something tricky, and since
there's no need for a contract (at the willingly cooperate part/well respected
thing, or maybe just because Minato was a prodigy), or is a plot-hole, and the
animators or Kishi put an accent on Jiraiya and Naruto at the scroll scene and
maybe forgetting about Minato.




I've been searching for this, all I could find was:

It's true: "Jiraiya, who took a special interest in Minato and took him on as
an apprentice, amongst other things teaching him the Summoning Technique and
senjutsu."

As more: "In his youth, Jiraiya taught Minato how to use the Summoning
Technique to summon toads. He was able to summon Gamabunta, showing
considerably proficiency in this technique as he was one of the few people
that Gamabunta would willingly cooperate without hesitation."

We also know that: "Before an animal summoning can be performed, a prospective
summoner must first sign a contract with a given species."

Plus: "Not much is known about Minato's relationship with the toads but
apparently he was well-respected among them. His only known summons were
Gamabunta and Gerotora."

From all of this I can deduce that, or it's something tricky, and since
there's no need for a contract (at the willingly cooperate part/well respected
thing, or maybe just because Minato was a prodigy), or is a plot-hole, and the
animators or Kishi put an accent on Jiraiya and Naruto at the scroll scene and
maybe forgetting about Minato.

