{"id":"W4416710526","doi":"10.1090/mbk/154/26","title":"Primes in arithmetic progressions","year":2025,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"","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":[],"category_scores_codex":[0.001014679,0.0006804946,0.001624307,0.0001721126,0.0001484737,0.00007800369,0.0007706029,0.0004189973,0.001218086],"category_scores_gemma":[0.0006040302,0.0005745659,0.0009210719,0.0001176276,0.002030153,0.00003118928,0.000603782,0.001518951,0.0002929775],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003828257,"about_ca_system_score_gemma":0.0004821533,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001389342,"about_ca_topic_score_gemma":0.0000129577,"domain_scores_codex":[0.9963127,0.0001014207,0.001047133,0.0007598054,0.0009859138,0.0007930086],"domain_scores_gemma":[0.9950316,0.002925254,0.0004672511,0.00115233,0.0001495956,0.000273991],"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":[0.00001314138,0.0001274077,0.00001130232,0.0007631322,0.0003442468,0.00003260529,0.0008402803,7.239158e-8,0.000006244403,0.9679958,0.01578127,0.01408448],"study_design_scores_gemma":[0.0002989292,0.00008090437,0.000002638126,0.001665655,0.0002284107,0.0000137549,0.0004730481,0.000410401,0.00002703317,0.981203,0.01505289,0.0005433267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0001409916,0.00007608577,0.003952288,0.000378836,0.00003482919,0.001226613,0.00002781058,0.000234553,0.993928],"genre_scores_gemma":[0.00143324,0.00002795622,0.06368823,0.0003079872,0.0001004879,0.0001649325,0.00000889271,0.0001644063,0.9341038],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.05982413,"threshold_uncertainty_score":0.9996949,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04027768269532834,"score_gpt":0.3507490503720941,"score_spread":0.3104713676767658,"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."}}