Mathematical conjecture examines iterate behavior of a function with positive integers, suggesting new insights into number theory.
We propose a conjecture concerning iterates of the sum-of-divisors function σ applied to quadruples of positive integers. Define sequences generated by repeated application of σ, and consider a bilinear form preserved across multiple iterations. We conjecture the existence of infinitely many quadruples satisfying a rigid invariance condition across the first three iterates.
No takes yet. Share an insight, caveat, or question.
Pseudonym Vô (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: