{"id":"W2491695194","doi":"10.1090/coll/057/21","title":"Primes represented by polynomials","year":2010,"lang":"en","type":"book-chapter","venue":"Colloquium Publications - American Mathematical Society/Colloquium Publications","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Pure mathematics","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","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.00311644,0.002079396,0.003220555,0.0009671457,0.002368577,0.001104498,0.0039626,0.001865082,0.0131967],"category_scores_gemma":[0.006334614,0.002146619,0.002454437,0.0018908,0.005088182,0.001013325,0.001002462,0.003233461,0.00228143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001218239,"about_ca_system_score_gemma":0.001979996,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002590896,"about_ca_topic_score_gemma":0.00003981444,"domain_scores_codex":[0.9892276,0.0003068292,0.003750375,0.002598965,0.002257763,0.001858482],"domain_scores_gemma":[0.980193,0.00527817,0.004147725,0.006582801,0.002208685,0.001589675],"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":[0.00001224307,0.0008698372,0.000005429503,0.0002545812,0.0006276824,8.049496e-7,0.0007057977,2.857702e-7,0.001030076,0.5540751,0.4420276,0.0003905991],"study_design_scores_gemma":[0.000477901,0.00010717,0.000007248051,0.0001296759,0.0006864012,0.00005507364,0.0002887308,0.0001107491,0.0002681523,0.4134611,0.5830253,0.001382542],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0003744596,0.0004421613,0.03580686,0.02183919,0.0005804637,0.005166877,0.002148662,0.003440612,0.9302007],"genre_scores_gemma":[0.001037066,0.0002220055,0.1099459,0.001082346,0.0007861882,0.002855554,0.001399197,0.0008119867,0.8818597],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1409977,"threshold_uncertainty_score":0.9999325,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0344311807869681,"score_gpt":0.3054535524096088,"score_spread":0.2710223716226407,"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."}}