{"paper":{"title":"The Romanov theorem revised","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hao Pan, Hongze Li","submitted_at":"2007-08-19T11:12:15Z","abstract_excerpt":"Let P be the set of all primes and P_2=P\\cup{p_1p_2: p_1,p_2\\in P}$. We prove that the sumset 2^P+P_2={2^p+q: p\\in P, q\\in P_2} has a positive lower density."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.2539","kind":"arxiv","version":2},"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"}