{"paper":{"title":"On members of Lucas sequences which are products of factorials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Florian Luca, Mark Sias, Shanta Laishram","submitted_at":"2019-01-04T11:45:46Z","abstract_excerpt":"Here, we show that if $\\{U_n\\}_{n\\ge 0}$ is a Lucas sequence, then the largest $n$ such that $|U_n|=m_1!m_2!\\cdots m_k!$ with $1<m_1\\le m_2\\le \\cdots\\le m_k$ satisfies $n<3\\times 10^5$. We also give better bounds in case the roots of the Lucas sequence are real."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.01063","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}