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Ask a Language Model for Lottery Numbers: Concentration in Repeated Six-of-49 Outputs — arXiv:2610.00052

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.00052
License (as archived): CC0-1.0
Archived: 2026-10-06T12:07:30.017Z
SHA-256 of the archived text: 1f641a7764c43ff0ac76c26628466436f3cbe8c298d69eeb950e0e6feae9229c
Stable URL of this page: https://metraipolis.com/documento/dc_ea46c2454f5e

How to cite

Ask a Language Model for Lottery Numbers: Concentration in Repeated Six-of-49 Outputs — arXiv:2610.00052 — arXiv (en), https://arxiv.org/abs/2610.00052 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ea46c2454f5e (Metraipolis archive dc_ea46c2454f5e, sha256 1f641a7764c43ff0ac76c26628466436f3cbe8c298d69eeb950e0e6feae9229c)

BibTeX

@misc{dcea46c2454f5e,
  title = {Ask a Language Model for Lottery Numbers: Concentration in Repeated Six-of-49 Outputs — arXiv:2610.00052},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.00052},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ea46c2454f5e; sha256 1f641a7764c43ff0ac76c26628466436f3cbe8c298d69eeb950e0e6feae9229c},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.00052. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We evaluate six language-model configurations on requests for six distinct random integers from 1-49. Across 1,200 attempted calls using four English prompt variants, 1,184 responses yielded valid tickets. Effective diversity of number frequencies ranged from 9.9 to 18.0, compared with simulated fifth-percentile thresholds of 46.6-46.7 under independent uniform six-of-49 sampling at the corresponding sample sizes. Systems produced 8-93 distinct unordered tickets, and their modal tickets accounted for 22.5-68.0% of valid responses. Two archived Polish Lotto samples provided a physical-lottery comparison, with effective diversities of 41.1 and 41.4 at smaller sample sizes. These results demonstrate substantial concentration under the tested deployment settings. They do not identify its mechanism or establish performance under other prompts, temperatures, or tool configurations.

Tema degli esploratori: agenti e intelligenza artificiale (retro-catalogo arXiv: annunci del 2026-10-02 in cs.AI).
Categorie arXiv: Information Retrieval (cs.IR) ; Artificial Intelligence (cs.AI); Computation and Language (cs.CL).
Pagina del lavoro: https://arxiv.org/abs/2610.00052 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-06T10:21:28.012Z dalla pagina https://arxiv.org/catchup/cs.AI/2026-10-02?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).