{"id":"W7097537587","doi":"","title":"An Upper Bound on the Least Inert Prime in a Real Quadratic Field","year":2007,"lang":"en","type":"article","venue":"","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Kronecker delta; Discriminant; Prime (order theory); Legendre symbol; Field (mathematics); Quadratic residue; Symbol (formal)","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003351081,0.001217229,0.001275537,0.00200814,0.0023026,0.004633044,0.001501189,0.001769184,0.01109172],"category_scores_gemma":[0.01761732,0.0007736768,0.0009941567,0.001437581,0.005954859,0.008710174,0.004061106,0.004746569,0.002730747],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001646355,"about_ca_system_score_gemma":0.001015705,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004547657,"about_ca_topic_score_gemma":0.0003854304,"domain_scores_codex":[0.9975997,0.0004934413,0.0001241373,0.0007396937,0.0005472724,0.0004957759],"domain_scores_gemma":[0.9780914,0.01678033,0.0009513627,0.001927262,0.0008140076,0.001435724],"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":[0.001747057,0.0001428031,0.003926,0.0006086924,0.00004130476,0.0005866173,0.000900268,0.006565448,0.009999854,0.91039,0.01646755,0.04862444],"study_design_scores_gemma":[0.0001673652,0.0002248862,0.00159884,0.0001855193,0.00007168537,0.001145717,0.0001866704,0.01557463,0.008497555,0.942941,0.02932774,0.00007824742],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.444792,0.01374158,0.2291317,0.01918127,0.001802349,0.0001327957,0.002234875,0.001990671,0.2869927],"genre_scores_gemma":[0.9570367,0.002438048,0.02586651,0.000819837,0.001313922,0.00008335043,0.0006742904,0.0002145889,0.01155274],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01109172,"threshold_uncertainty_score":0.03710544,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07692926893313298,"score_gpt":0.4023092758172415,"score_spread":0.3253800068841085,"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."}}