Potočnik Pairs

X=6 cylinder · every prime p on the cylinder has an eternal partner q — the next prime directly above it on the same vertical line (same position mod 6).
Each candle = one pair (p→q). Height = gap between their floors. Blue = position 1 (60°), Gold = position 5 (300°).

Start pair #

Show pairs

px per gap unit

Candle width

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Total pairs

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Shown

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Avg gap

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Gap=1 (%)

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Largest p

Pos 1 · p ≡ 1 mod 6 · (7, 13, 19, 31...)

Pos 5 · p ≡ 5 mod 6 · (5, 11, 17, 23...)

gap = 1

gap = 2

gap ≥ 3

Computing pairs...

✦ Potočnik Pairs — Key Observations

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