Talk:Miracle extensions
I want to change other pages about extensions in the same way, so first i would like to figure out how to do this one well. Thoughts on my changes? Is this worth doing at all? Also, does it make sense to call 31 & 41 & 72 "rank-3 miracle"? Squib (talk) 18:38, 21 December 2025 (UTC)
- I don't think it's more intuitive to introduce an extra generator and then temper it back than to look where a prime fits in the existing generator chain.
- The name of 31 & 41 & 72 is mirage.
- I agree that the most intuitive thing is to look where a prime fits in the existing generator chain, but except for prime 13 (and 19), that's not what this page currently does. 273/272 describes 17's relationship to 13, 300/299 describes 23's relationship to 13, and 392/391 describes 23's relationship to 17. Their position in the generator chain is different for each extension, even though the description applies to all of them. If we refer to these extensions first as extensions of mirage, then we are describing each prime's position in the genchain because 13 is a generator.
- Essentially, I think that this page is fundamentally about mirage, even in its current state. It would be more intuitive to understand if it described miracle extensions accordingly. However, since I suspect I'm in the minority here, I'll move my changes to my userpage for now.