trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Gaps between consecutive primes

The gap after the n-th prime is positive, and the factorial construction makes it exceed any prescribed bound.

Closed Authored exposition
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DIRECT CONSEQUENCES1
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THEOREM

Positivity

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Gaps between consecutive primesGaps between consecutive primesDe Vlieger's descending prime-power exponentsDe Vlieger's descending prime-power exponents
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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Primes/PrimeGap
Repository path
D5/S3/Arith/Primes/PrimeGap.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.