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mathematically, the minimum amount of dex entries required for a full team of 6 for every type is 54. of course, that's assuming they're al single stage pokemon and they're all dual-type to get exactly 6 of every type.
Yes, but that's under ideal circumstances of being single stage dual types. And even that would not happen, because you have to have 3 starter lines. And if you add the requirement of "no starters and legendaries" you're adding at least 11 more for that, plus more because of version exclusives. Poor choice of words on my part perhaps for the absolute minimum because that's not practical and will never happen, I'm thinking more of if they can choose single type and multi-stage lines what's the lowest it would take? Sounds like the answer is somewhere between 250 and 300 based on the balance of existing regional dexes (maaaaayyybe you could do a 250 Pokemon Dex that's balanced if you choose the right Pokemon, but the Johto and Hisui Dex are around that number and they have not).