{"id":"W1968406684","doi":"10.1090/s0025-5718-04-01683-7","title":"More on the total number of prime factors of an odd perfect number","year":2004,"lang":"lv","type":"article","venue":"Mathematics of Computation","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Algorithm; Annotation; Artificial intelligence; Computer science; Mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001263288,0.001632726,0.001066844,0.002497775,0.001219695,0.002832262,0.0008189708,0.0007968947,0.07204523],"category_scores_gemma":[0.004072075,0.0004664771,0.001321587,0.002765257,0.002110268,0.009329983,0.001378528,0.002888092,0.01670872],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001933804,"about_ca_system_score_gemma":0.0005249293,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00370869,"about_ca_topic_score_gemma":0.003457814,"domain_scores_codex":[0.999007,0.0002023486,0.00004859984,0.0003047047,0.0003408046,0.0000964584],"domain_scores_gemma":[0.9985418,0.0005645191,0.0000861185,0.0003150285,0.0003941761,0.00009846501],"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":[0.0001144725,0.00002442044,0.0004476465,0.0003446295,0.00002513043,0.0001352693,0.000357966,0.001139757,0.001153931,0.8457274,0.1053661,0.04516322],"study_design_scores_gemma":[0.00001715955,0.00003922099,0.0007041268,0.0001187406,0.00003042173,0.0001898315,0.0001233658,0.00136366,0.0008967375,0.6918962,0.3045872,0.00003321444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.01918337,0.02099216,0.1613933,0.02657166,0.01351956,0.00005303022,0.003654104,0.001924035,0.7527088],"genre_scores_gemma":[0.3948717,0.02206723,0.0844386,0.01335726,0.01344319,0.0001355226,0.004719012,0.005119808,0.4618476],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.07204523,"threshold_uncertainty_score":0.2410153,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04774830645407832,"score_gpt":0.3601177191843817,"score_spread":0.3123694127303034,"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."}}