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“Prestige based” implies that the prestige function should be front and center, as opposed to being one of the many mechanics.
There are VERY few incrementals that are prestige based, and even less on mobile.
The only prestige based incrementals I can think of at all are Antimatter Dimensions (web, although it can be played on a mobile device if you have internet) and Idle Loot Quest (This one’s actually mobile, but it’s very simplistic)
Now if you simply mean a mobile incremental that have a good prestige function, then there are many options. At that point you’re really just asking for good mobile incrementals, which do in fact exist. Most mobile incrementals that are actually worth anything have a prestige function, some even have a second tier prestige.
Idle Loot Quest has quickly become a favorite of mine for Android incrementals. Interesting mechanics, and a loot system, along with rare items to help speed up incrementing. No IAPs, just a banner ad, and the game is certainly a long one.
Any games like TopCog's Idle Loot Quest? I really like the minimalism/automation of it and the "looting" aspect too. Their other games are very similar but don't scratch that same itch, speedrun simulator is also similar but I have already completed that game. Any recommendations would be very appreciated!