{"id":"W4416710346","doi":"10.1090/mbk/154/01","title":"How many primes are there?","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005781014,0.0005646497,0.000609219,0.001209441,0.001605594,0.004934175,0.0005579519,0.001165113,0.04529145],"category_scores_gemma":[0.002952199,0.0004098325,0.000264094,0.001612543,0.00272911,0.01038087,0.001019979,0.003079287,0.0173144],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001675222,"about_ca_system_score_gemma":0.000638046,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001223537,"about_ca_topic_score_gemma":0.001796613,"domain_scores_codex":[0.9996856,0.00009327073,0.00001072599,0.00006376009,0.0001151304,0.00003151],"domain_scores_gemma":[0.999306,0.0003946741,0.00004247556,0.00007899085,0.0001245283,0.00005338665],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001638446,0.000007691777,0.00009398964,0.00005295744,0.000003889826,0.00002419579,0.000228561,0.0001396177,0.0001666727,0.7760336,0.1679261,0.05530625],"study_design_scores_gemma":[0.000003415412,0.000004044414,0.0001287304,0.00005990397,0.000004542022,0.00009536326,0.0002220567,0.0002343852,0.000129531,0.6181061,0.3810055,0.000006460676],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.001743224,0.01190343,0.01029082,0.0160924,0.002627007,0.0000133781,0.0001974491,0.0001755995,0.9569567],"genre_scores_gemma":[0.07795557,0.01634366,0.008205933,0.005812712,0.003909763,0.00006202319,0.000288508,0.0004449249,0.8869769],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.04529145,"threshold_uncertainty_score":0.151515,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03991881741186028,"score_gpt":0.3117690159401169,"score_spread":0.2718501985282566,"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."}}