{"id":"W4390695192","doi":"10.2478/ijmce-2024-0019","title":"A hierarchy of double, quadruple and octuple primes","year":2024,"lang":"en","type":"article","venue":"International Journal of Mathematics and Computer in Engineering","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Prime (order theory); Hierarchy; Discrete mathematics; Pure mathematics; Combinatorics","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":[],"consensus_categories":[],"category_scores_codex":[0.0006332581,0.00008249103,0.0002123498,0.000331241,0.000006185923,0.00007288317,0.0001850011,0.00002943231,0.00001392596],"category_scores_gemma":[0.00005531206,0.00006712678,0.00005047231,0.00008353988,0.00002741902,0.0001162963,0.000107995,0.0001683536,6.369264e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002842527,"about_ca_system_score_gemma":0.00002838555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000398984,"about_ca_topic_score_gemma":9.252907e-7,"domain_scores_codex":[0.999096,0.000007958123,0.0004294225,0.0000724698,0.0003048574,0.00008928639],"domain_scores_gemma":[0.9991687,0.0005333442,0.00007937855,0.00006339088,0.0001103193,0.00004489741],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00004067041,0.0002120553,0.0008858757,0.00156638,0.0005760186,0.0002591243,0.005331949,0.001236373,0.0009887404,0.9787878,0.0002476314,0.009867392],"study_design_scores_gemma":[0.001037026,0.0001099892,0.0003987426,0.002345541,0.0000387633,0.001051015,0.0002273312,0.7981641,0.001394356,0.1944584,0.0006049581,0.0001697599],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7217888,0.0006045233,0.2769789,0.000172522,0.0002391317,0.00005691526,0.000002031635,0.00001154468,0.0001456953],"genre_scores_gemma":[0.8979594,0.0001113656,0.1017119,0.000005135486,0.0001450922,0.000001219723,2.610092e-7,0.0000154879,0.00005014813],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7969278,"threshold_uncertainty_score":0.273735,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02832994386925132,"score_gpt":0.3205544510007883,"score_spread":0.292224507131537,"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."}}