Question: Puyo Puyo Fever 2, is a video game developed by Sonic Team and published by Sega, it was released as a sequel to the previous title, "Puyo Pop Fever", a puzzle video game, and is which number main installment in the "Puyo Puyo" puzzle game series?

full_context: Document 1: Puyo Puyo Fever 2: Puyo Puyo Fever 2 (ぷよぷよフィーバーチュー! , Puyopuyo Fībā Chū! ) is a video game developed by Sonic Team and published by Sega. The game was released as a sequel to the previous title, "Puyo Pop Fever". The gameplay remains relatively unchanged, but several new modes are introduced. The game features nine different plots, each one pertaining to its three protagonists. "Puyo Puyo Fever 2" was released exclusively in Japan for the PlayStation 2 and PlayStation Portable in November 2005, and later for the Nintendo DS the following month.
Document 2: Sonic Team: Sonic Team (Japanese: ソニックチーム , Hepburn: Sonikku chīmu ) is a Japanese video game development division of Sega. The division was established as Sega AM8 in Ōta, Tokyo, Japan in 1988, and was renamed to Sonic Team in 1991 after the release of "Sonic the Hedgehog" for the Sega Genesis home console. The game was a huge commercial success for Sega, and started the long-running "Sonic the Hedgehog" franchise. In the mid 1990s, the studio began to create and develop new intellectual properties, whilst continuing to oversee production on the "Sonic" series.
Document 3: Puzzle Bobble 3: Puzzle Bobble 3 (also known as Bust-A-Move 3) is the second sequel to Puzzle Bobble. It was released into arcades in September 1996 and later ported to the Sega Saturn, Sony PlayStation, Game Boy, Nintendo 64 and Microsoft Windows. It would be the final appearance of Puzzle Bobble on the Sega Saturn. Like its predecessors, the player is tasked with shooting balls at groups of balls, creating groups of 3 or more, which are then removed from play. A European remake is entitled Bust-a-Move 3 DX released in America as Bust-A-Move '99.
Document 4: Puyo Puyo: Puyo Puyo (ぷよぷよ), previously marketed under the name Puyo Pop in North America and Europe, is a series of tile-matching video games created by Compile. Sega has owned the franchise since 1998, with most releases after 2001 being developed by Sonic Team. Puyo Puyo was created as a spin off franchise to "Madou Monogatari" ("Story of Sorcery"), a series of first-person dungeon crawler RPGs by Compile. The characters from "Puyo Puyo" originated from "Madou Monogatari". As of 2016, Sega Sammy Holdings has reported that the "Puyo Puyo" franchise has sold a combined total of 22 million units in physical and digital sales since Sega obtained the rights.
Document 5: Puyo Puyo! 15th Anniversary: Puyo Puyo! 15th Anniversary (ぷよぷよ! , Puyopuyo! ) is a sub-story of the Puyo Puyo series, developed by Sonic Team and published by Sega for the Nintendo DS, PlayStation 2, PlayStation Portable, and Wii. As with many other games in the series, it has not been released outside Japan for any consoles. This is the first Puyo Puyo game to be released on the Wii console. The game was endorsed by Yuri Ebihara.
Document 6: Puyo Puyo Tetris: Puyo Puyo Tetris (ぷよぷよテトリス , Puyopuyo Tetorisu ) is a puzzle video game developed by Sonic Team and published by Sega. The game is a crossover between the "Puyo Puyo" series and the "Tetris" franchise, and features various gameplay modes incorporating both aspects. The game includes characters modeled after the seven Tetrominos, which are different puzzle pieces each made of four blocks.
Document 7: Puyo Pop Fever: Puyo Pop Fever (ぷよぷよフィーバー (Puyopuyo Fībā ) , is a puzzle video game developed by Sonic Team. It is the fifth main installment in the "Puyo Puyo" puzzle game series and the second "Puyo Puyo" game to be programmed by Sonic Team after "Puyo Pop" (which was released just after the series' original developer, Compile, went bankrupt). Sega, which acquired the series' rights from Compile in 1998, published all the Japanese versions of the game; the game was scarcely released internationally, and certain versions were released by other publishers in those areas. Only the Nintendo GameCube and DS versions were released in North America; Europe received both versions plus the Xbox, PlayStation 2, Game Boy Advance, and PlayStation Portable versions. The NAOMI port to Dreamcast, released only in Japan, was the last Dreamcast game developed by Sonic Team, as well as being the only console version to use sprites in place of 3D models.
Document 8: Puyo Pop (video game): Puyo Pop, known as Minna de Puyo Puyo (みんなでぷよぷよ , "Everybody Puyo Puyo") in Japan, is the first of the Puyo Puyo games made for the Game Boy Advance, and the first produced by Sonic Team after Compile went bankrupt and sold the rights to Sega. However, at the same time, it is the last to use the original Madou Monogatari cast. It was not counted in the "official" sequence, nor were the later "Anniversary" games, as evidenced by the naming of Puyo Puyo 7.
Document 9: Puyo Puyo!! 20th Anniversary: Puyo Puyo!! 20th Anniversary is a puzzle game developed by Sonic Team and published by Sega. The game honored the twentieth year of the "Puyo Puyo" series, and was first released for the Nintendo DS in July 2011, and later for Wii, Nintendo 3DS, and PlayStation Portable in December 2011.
Document 10: Puyo Puyo~n: Puyo Puyo~n (ぷよぷよ〜ん , Puyopuyōn ) , also known as Puyo Puyo 4, and Puyo Puyo~n Party (for the N64 version) is the fourth installment of the Puyo Puyo puzzle game series, created by Sega and Compile for the Sega Dreamcast, Sony PlayStation, Nintendo 64 and Game Boy Color. Like many of the Puyo Puyo games, it was never officially released outside Japan. The title of "Puyo Puyo~n" comes from the Japanese word "yon" (四 , meaning four) , signifying the fourth game in the series. Plans were made for a 64DD version entitled Puyo Puyo~n 64 (ぷよぷよ〜ん , Puyopuyōn rokujuon ) , but it was later cancelled.
Document 11: Puyo Puyo BOX: Puyo Puyo BOX is a compilation video game developed by Compile for the Sony PlayStation. It is Compile's last recognised "Puyo Puyo" title in the series before Sega, previously only owning the character rights, fully obtained the rights to the series. "Puyo Puyo BOX", being a compilation, primarily consists of earlier "Puyo Puyo" games, but also contains original content.
Document 12: Puzzle De Pon: Puzzle De Pon! is a puzzle video game made by the Taito Corporation in 1995. It was initially released for the Neo Geo arcade platform. The game plays similarly to Taito's own "Puzzle Bobble" series. There are some gameplay differences however. Although the player clears the colored balls on the screen by firing balls against other balls of the same colour, the objective of the game is not to clear the screen of balls. It is instead to clear all the balls from around the level shape, referred to as the "drop token". Once this shape is freed, it explodes and the player travels onto the next level.
Document 13: Puyo Puyo (video game): Puyo Puyo (ぷよぷよ , Puyo Puyo ) is a puzzle video game released in 1991 by Compile for the MSX2. Since its creation, it uses characters from "Madou Monogatari". It was created by Masamitsu "Moo" Niitani, the founder of Compile, who was inspired by certain elements from the "Tetris" and "Dr. Mario" series of games.
Document 14: Super Puzzle Bobble: Super Puzzle Bobble, also released as Super Bust-A-Move in Europe and North America, is a puzzle game in the "Puzzle Bobble" series. It was developed by Taito Corporation, and released on November 26, 2000 by Acclaim Entertainment for the PlayStation 2 and PC. There is a different arcade release with the same name. It was later ported to the Game Boy Advance on November 27, 2001. It was re-released in Japan for the PS2 in 2004 as part of "Super Puzzle Bobble DX" (along with its sequel, "Super Puzzle Bobble 2"), which is Volume 62 of the Japan-exclusive "Simple 2000 Series". This compilation includes a few graphical enhancements.
Document 15: Puzzle Bobble: Puzzle Bobble (Japanese: パズルボブル , Hepburn: Pazuru Boburu ) , also known as Bust-a-Move in North America, is a 1994 tile-matching arcade puzzle video game for one or two players created by Taito Corporation. It is based on Taito's popular 1986 arcade game "Bubble Bobble", featuring characters and themes from that game. Its characteristically cute Japanese animation and music, along with its play mechanics and level designs, made it successful as an arcade title and spawned several sequels and ports to home gaming systems.
ground_truth: fifth