PokéBase - Pokémon Q&A
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So, if you've talked to me recently, you'd know I've been on an Ultra Moon grind for shinies. I've been doing the wormholes recently due to the insane shiny odds, and I heard a rumor that the farther you go, the more your odds increase.

I always struggle getting past 4,000 lightyears or so. Is there a cap on how far you can go? When does the shiny odds cap out?

Thanks in advanced <3

According to that link, I believe the max is 36% and the max ligt years is 5000. The 36% is for type 4 wormholes though

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The further you go, the higher the chance is that the Pokémon you will get is a Shiny Pokémon and the wormhole also factors in capping at 5,000 Light Years at 36% in the Type 4 Wormholes.

The more you get the better, as their appearances are very frontloaded, being very rare as you progress.

So basically, the further you go, the less gold orbs you find across making you slower and sucking you into the portals. This means that you can't go on forever, you'll be sucked into a portal. As for shiny ratios, it always stays the same for each type after 5,000 light years, 1 at 1%; 2 at 10%; 3 at 19%; and 4 at 36%. If you're interested in seeing how far someone went, take a look at this thread.

Source for my evidence.

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Note that type four wormholes are the guarenteed legendary ones
yikes, someone went 7000 according to that thread
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The Shiny odds max out at 5,000 lightyears
The chance of encountering a shiny after or at 5,000 lightyears is 36% in type four wormholes. Type four wormholes contain legendaries and Ultra Beasts until you have caught or do not "meet the requirements" for them.

As far as I can tell, nobody's really bothered to go further than 5,000 lighyears, as that is when all rarity odds cap. However; It's not possible to go forever, as gold orbs which grant you speed will stop appearing.