Official Python/SageMath implementation and numerical verification suite for Sun's (2,4,6,8) Binomial Representation Conjecture (Framework V10.3).
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Updated
Oct 6, 2026 - HTML
Official Python/SageMath implementation and numerical verification suite for Sun's (2,4,6,8) Binomial Representation Conjecture (Framework V10.3).
Three-square balance: record locations for the minimal spread in representations k = x² + y² + z² ::: OEIS A395008
A Machine-Verified Constructive Proof of Lemoine's Conjecture.
Gap-record locations for the canonical four-square balance gap A122921(n) - ceiling(sqrt(n/4)) ::: OEIS A396760
N = n₁ + n₂ with n₁, n₂ sums of two squares (or values of any class number one form) and Ω(n₁n₂) ≤ 11, max Ω(nᵢ) ≤ 8: paper, linear vector sieve with switching and Richert weights, interval-arithmetic certification.
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