{"id":"W1531825503","doi":"10.1007/s00209-016-1786-7","title":"Bounded intervals containing many primes","year":2016,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Bounded function; Sieve (category theory); Combinatorics; Discrete mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001506469,0.001241724,0.001209749,0.002720794,0.001570554,0.004571327,0.00158744,0.001162507,0.007992935],"category_scores_gemma":[0.01212845,0.0007613189,0.0006747295,0.002249409,0.003291119,0.005849062,0.003300108,0.004269197,0.001267664],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001235301,"about_ca_system_score_gemma":0.0003912988,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002251137,"about_ca_topic_score_gemma":0.0001164893,"domain_scores_codex":[0.9984163,0.0004518398,0.00007840276,0.0003442174,0.0004805143,0.0002286694],"domain_scores_gemma":[0.9896924,0.007235256,0.0007132223,0.0008335781,0.000768134,0.0007573878],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001578791,0.00002117373,0.0002027417,0.0001060082,0.00001535572,0.0001611693,0.0003056229,0.0009867558,0.001672626,0.9894175,0.00106133,0.005891878],"study_design_scores_gemma":[0.00003624952,0.00003583937,0.0002880254,0.0000319316,0.00002299416,0.0002528969,0.0001419696,0.004525361,0.001411637,0.98939,0.003847457,0.00001567826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3907709,0.009940985,0.3331464,0.004207751,0.00111551,0.00009145783,0.0007258903,0.0009034372,0.2590976],"genre_scores_gemma":[0.9568794,0.001716763,0.02415171,0.0004578936,0.0006500586,0.0001176881,0.0003622182,0.0001639537,0.0155003],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007992935,"threshold_uncertainty_score":0.026739,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05162760394480015,"score_gpt":0.3369378910854904,"score_spread":0.2853102871406902,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}