{"paper":{"title":"A quaternary diophantine inequality by prime numbers of a special type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"S. I. Dimitrov","submitted_at":"2017-02-15T11:23:08Z","abstract_excerpt":"Let $1<c<832/825$. For large real numbers $N>0$ and a small constant $\\vartheta>0$, the inequality \\begin{equation*} |p_1^c+p_2^c+p_3^c+p_4^c-N|<\\vartheta \\end{equation*} has a solution in prime numbers $p_1,\\,p_2,\\,p_3,\\,p_4$ such that, for each $i\\in\\{1,2,3,4\\}$, $p_i+2$ has at most $32$ prime factors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04717","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"}