Xiao & Noirra
Noirra
Hey Xiao, I just noticed a recurring pattern in the gaps between primes that looks almost like a hidden code—thought you might appreciate the hunt for that kind of neatness.
Xiao
Nice find. What’s the exact sequence you’re seeing? I can run a quick check to see if it’s just a coincidence or something deeper.
Noirra
The gaps I’ve been tracking, starting after 2, are 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4… They mostly land on 2, 4, 6, or 8 and seem to echo a 2‑4‑6‑4‑2‑4‑6‑4 rhythm, but I can’t tell if that’s just noise or a real pattern. Let me know what your quick check shows.
Xiao
All prime gaps after 2 are even, so 2, 4, 6, 8… are the only possibilities. I ran a quick script over the first few thousand primes; the gaps you listed match the expected sequence. The 2‑4‑6‑4‑2 rhythm you noticed is just a short‑term fluctuation. If you push further out, the gaps start to spread more uniformly among the even numbers. So it’s not a hidden code—just the normal statistical noise of prime gaps.