trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Krizek's Triangular-Square Divisor-Sum Characterization

A positive triangular number is square exactly when its index and value have odd divisor sums.

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THEOREM

Divisor-sum parity

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Krizek's Triangular-Square Divisor-Sum CharacterizationKrizek's Triangular-SquareDivisor-Sum CharacterizationThe Karttunen–Munn conjecture on OEIS A344695The Karttunen–Munn conjectureon OEIS A344695A sigma-gcd of three forces twice a squareA sigma-gcd of three forcestwice a square
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/KrizekTriangularSquareSigmaParity
Repository path
D5/S3/Arith/KrizekTriangularSquareSigmaParity.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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