Factorization

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Contents

• Reduced Numerators Modulo Three
• Divisor-Bucketed Quadruple Sum
• Divisibility at Multiples of Four
• Bala’s Alternating Gcd Sum
• Automata
• Minimum of the Basic Discriminant Class
• Bonin’s Shadow Markoff Positivity Region
• Collinear Triple Fixed Point Census
• Collinear Triple Translation Orbits
• Combinatorics
• Cube Gaps at Five
• Cyclotomic
• Dedekind
• A Deeply Composite Number Outside B-Infinity
• A Multiple with Fewer than Twice as Many Divisors Divides the Square
• Embeddings
• Erdos’s Consecutive-Product Factor Question
• ExponentCoordinates
• Factor-Density and Highly Composite Counterexample
• The Free Commutative Monoid on the Prime Axes
• Galois
• Golden Cubic Blocks Are Not Fifth Powers
• Golden Cubic Blocks Are Not Cubes
• Hilbert Monoid Non-Unique Factorization
• Ianakiev’s A008474 Iteration Conjecture
• Icosahedral
• IdealClassGroups
• Eventual Jordan-Cototient Records
• Jordan-Cototient Record Limit at Zero
• Component Consequences of Lehmer’s Totient Condition
• Logarithmic Length from Prime Factorization
• Coordinate Mutation of the Cubic Equation
• Mordell
• Binary Valuation Descent on Mordell Curves
• ObserverTypes
• Periods
• Perry’s Least Factorial Index for the Prefix Lcm
• Positive Rationals from Signed Prime Exponents
• A Prefix Lcm Outside the Factorial-Primorial Products
• Eventual Divisibility of Prime-Exponent Records
• Prime-Exponent Record Limit at One
• Integer Linear Independence of Prime Logarithms
• PrimePowers
• Profinite Integers Decompose Along the Prime Axes
• QuadraticIdeals
• Reciprocal Sigma Threshold Minima
• Second-Order Euler Factorization
• Solenoid
• The Hidden Fiber of the Universal Solenoid
• Uniqueness of the Squarefree-Square Decomposition
• A392096 Divisor-Pair Sigma Bounds
• Sharp Divisor-Count Bound
• Divisor Count and Sum Bounds
• A336687 Solution Bound
• Totient Nondivisors and Consecutive-Totient Lcm Records
• Twin-Prime Sigma-Gcd Divisibility
• Maximum Length of a Two-Dense Divisor Block
• Two-Dense Divisor Blocks Are Palindromic
• Unimodular Monomial Substitution
• Uniqueness of Prime Factorization