trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Four Positive Integers with Equal Sum and Product

Positive integer quadruples have equal sum and product exactly when they permute 4, 2, 1, 1; the common value is eight.

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THEOREM

The two smallest coordinates

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Four Positive Integers with Equal Sum and ProductFour Positive Integers withEqual Sum and Product
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/GoldenResource/FourFactorSumProductBalance
Repository path
D5/S3/Arith/GoldenResource/FourFactorSumProductBalance.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.