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Weil / CONCEPT

Rational Independence of Prime Logarithms

Unique factorization makes the logarithms of the primes linearly independent over the rationals.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Prime logarithms are integer-linearly independent

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Integer Linear Independence of Prime LogarithmsInteger Linear Independence ofPrime LogarithmsRational Independence of Prime LogarithmsRational Independence of PrimeLogarithmsFinite Prime Phase RecurrenceFinite Prime Phase Recurrence
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Weil
Node ID
D5/S3/Weil/PrimeAddress/PrimeLogIndependence
Repository path
D5/S3/Weil/PrimeAddress/PrimeLogIndependence.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.