# A Lower Bound for Grothendieck's Constant

arXiv: https://arxiv.org/abs/2603.22616 · HTML: https://mlsanity.com/paper/2603.22616/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Mar 2026.

## Built on by (most cited first, 1 of 1)

- [Long-Horizon AI Research for Grothendieck Constant: A Case Study in Human-AI Mathematical Collaboration](https://mlsanity.com/paper/2608.11195/) (2026)

## Abstract (arXiv)

We show that Grothendieck's real constant KG satisfies KG≥ c+10-26, improving on the lower bound of c=1.676956674215576ldots of Davie and Reeds from 1984 and 1991, respectively.