Empirical evidence shows Quadratic Cascade method improves integer factorization in semiprimes, suggesting enhanced efficiency.
We introduce the Quadratic Cascade method, a structured algebraic heuristic for integer factorization based on exponents of the form r·q²+q. On 30-digit semiprimes, a 7-formula cascade union adds approximately 8-9 percentage points beyond Pollard P-1 and Williams P+1 combined, bringing total single-pass coverage to approximately 25%. Verification scripts available upon request.
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Thierry Levy (2026) studied this question.
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