{"id":"W4406891494","doi":"10.31542/kbkhxt80","title":"Fermat's Last Theorem and the Golden Mean","year":2025,"lang":"en","type":"article","venue":"MacEwan University Student eJournal","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; MacEwan University","keywords":"Fermat's Last Theorem; Golden ratio; Mathematics; Proofs of Fermat's little theorem; Calculus (dental); Discrete mathematics; Fundamental theorem; Compactness theorem; Geometry; Medicine; Fixed-point theorem","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false,"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":[0.001199298,0.0003537895,0.0006226016,0.0007924885,0.001442404,0.001122139,0.000711549,0.0008689305,0.003912493],"category_scores_gemma":[0.00385693,0.0002049862,0.0006987319,0.0007255683,0.004043061,0.00273908,0.001282204,0.00193066,0.0009094281],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009689739,"about_ca_system_score_gemma":0.0006980377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004154799,"about_ca_topic_score_gemma":0.000501801,"domain_scores_codex":[0.9994819,0.00009863575,0.00002572169,0.00009736564,0.0001906854,0.000105787],"domain_scores_gemma":[0.9992979,0.0003770105,0.00008574519,0.0001006134,0.00008581398,0.00005294576],"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":[0.00005540275,0.00001228061,0.0004262614,0.00005102564,0.000007850786,0.0001047594,0.0003107723,0.001738589,0.001620097,0.9684019,0.002119077,0.02515209],"study_design_scores_gemma":[0.00002925924,0.00008936717,0.0003409296,0.00003508498,0.000009490246,0.0002809585,0.00009548935,0.004827681,0.003339562,0.9742661,0.01666379,0.00002235716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3527873,0.003739846,0.4314598,0.01299864,0.001471885,0.00005791365,0.0001666472,0.0005538191,0.1967642],"genre_scores_gemma":[0.8745087,0.001167186,0.1004425,0.001178972,0.0003252985,0.00004584372,0.00007048538,0.0001340883,0.022127],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003912493,"threshold_uncertainty_score":0.01308852,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01477868796398941,"score_gpt":0.2584950520681387,"score_spread":0.2437163641041493,"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."}}