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I've tossed 20+ wishing pieces into the well to the right of Hammerlock's entrance without any success. Now I'm wondering if it is possible for that well to spawn rare beams or at all, or did I just have a run of bad luck?

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Every Den should be able to spawn a rare beam. If you look at Serebii, you can find a detailed list with all the Pokémon you can encounter at any den. On the left side are the encounters for normal dens and on the right side are the rare den Pokémon. If you click on the den you can see which Pokémon spawn at what percentage.

If you have trouble finding the den you are at, try first searching for the location of the wild area you are in.

Rare dens can require a lot of luck to spawn the right Pokémon. Trying to force them with wishing pieces can take a long time. If I try the method of resetting the game before saving it, it usually takes up to 40 attempts. But if you're lucky, it can also happen within the first few tries.

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  • In my opinion it is not worth to search for specific Pokemon in rare dens, besides maybe the special Gigantamax Forms and a good 5 Star Ditto battle to get a breeder with 5 perfect IVs.
    – Roybin93
    Dec 9, 2019 at 9:09
  • thanks for that link, super useful!
    – l I
    Dec 15, 2019 at 2:12
  • @Roybin93 Some hidden abilities are only obtainable through rare beams too. Dec 30, 2019 at 18:32

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