diff --git a/constants/3a.md b/constants/3a.md index 80f37ad..362b409 100644 --- a/constants/3a.md +++ b/constants/3a.md @@ -23,6 +23,7 @@ $$ |A-B| \gg |A+B|^{C_{3a}}.$$ | $1.173050$ |[G2025] | | $1.173077$ |[Z2025]| | $1.1740744$ | [G2026] | Base-$21$ digit construction with exact counting certificate. | +| $1.1835129324$ | [MI2026] | Base-$33$ digit construction with exact counting certificate. | ## Additional comments and links @@ -36,5 +37,6 @@ $C_{3a} \geq 1 + \log( \lvert U-U \rvert /\lvert U+U \rvert )/\log(2 \max(U)+1)$ - [GGSWT2025] Georgiev, Bogdan; Gómez-Serrano, Javier; Tao, Terence; Wagner, Adam Zsolt. Mathematical exploration and discovery at scale. [arXiv:2511.02864](https://arxiv.org/abs/2511.02864) - [G2025] Gerbicz, Robert. Sums and differences of sets (improvement over AlphaEvolve), 2025. [arXiv:2505.16105](https://arxiv.org/abs/2505.16105). - [GHR2007] Gyarmati, Katalin; Hennecart, François; Ruzsa, Imre Z. Sums and differences of finite sets. Functiones et Approximatio Commentarii Mathematici, 37(1):175–186, 2007. +- [MI2026] Mosaic Intelligence ([@111111](https://x.com/111111)). Exact-count certificate for problem 3a, [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/95) (2026). - [Z2025] Zheng, Fan. Sums and differences of sets: a further improvement over AlphaEvolve, 2025. [arXiv:2506.01896](https://arxiv.org/abs/2506.01896). - [G2026] Griego, Sebastian. Base-$21$ digit construction certificate for $C_{3a}$, [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/71) (2026).