{"id":"W2903698551","doi":"10.1090/stml/104/05","title":"Distribution of prime numbers","year":2023,"lang":"en","type":"book-chapter","venue":"Student mathematical library","topic":"Advanced Mathematical Theories","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Distribution (mathematics); Mathematics; Prime (order theory); Prime number; Number theory; Combinatorics; 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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003962801,0.0007419321,0.001678711,0.0001370392,0.00006816723,0.00006343525,0.0008590357,0.0005502004,0.002471401],"category_scores_gemma":[0.000774453,0.0006265659,0.0005984296,0.0001335083,0.0005658564,0.0003472404,0.0009969989,0.0006273045,0.00194709],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006401331,"about_ca_system_score_gemma":0.00008799596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.232109e-7,"about_ca_topic_score_gemma":1.60722e-7,"domain_scores_codex":[0.9959599,0.00004903843,0.001632413,0.0005929903,0.001259017,0.0005066827],"domain_scores_gemma":[0.994504,0.003173311,0.0007918748,0.001205407,0.00008294365,0.0002424379],"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":[0.00002637153,0.0002143012,0.00000394667,0.001926521,0.0003074571,0.00004181299,0.0002781086,3.658362e-7,0.000008198456,0.9838668,0.01304772,0.0002784695],"study_design_scores_gemma":[0.0002805197,0.0000942051,0.000006446722,0.001780677,0.0002928613,0.00001401978,0.00009327247,0.00001096196,0.0003361174,0.9882371,0.008289582,0.0005642493],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0002293256,0.00008874449,0.01399853,0.0002415805,0.0002378114,0.001242048,0.0005436324,0.001150398,0.9822679],"genre_scores_gemma":[0.001406993,0.0001290063,0.02394771,0.00003954408,0.0002726786,0.00007959153,0.0003057047,0.0005182062,0.9733006],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.009949177,"threshold_uncertainty_score":0.9996186,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04099265001476799,"score_gpt":0.31978428446306,"score_spread":0.278791634448292,"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."}}