{"id":"W4417100986","doi":"10.5539/jmr.v14n5p46","title":"An Equivalent Form in Fermat's Last Theorem","year":2022,"lang":"","type":"article","venue":"Journal of Mathematics Research","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Prime (order theory); Exponent; Of the form; Calculus (dental); Representation theorem","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","sts","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.06276818,0.0008113082,0.002284891,0.003377441,0.00172485,0.0004129146,0.004476561,0.0003794725,0.009889773],"category_scores_gemma":[0.004375908,0.0007587515,0.0008671049,0.002038768,0.0009315719,0.0009822947,0.001560868,0.006880515,0.0003814363],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002928293,"about_ca_system_score_gemma":0.001722873,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009244488,"about_ca_topic_score_gemma":0.00006281883,"domain_scores_codex":[0.978354,0.005362015,0.005316714,0.0006679502,0.008091624,0.002207746],"domain_scores_gemma":[0.985559,0.006856416,0.002770349,0.002311079,0.001564981,0.0009381663],"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":[0.0011598,0.03642204,0.0001409249,0.009182589,0.0007314183,0.001747481,0.202529,0.001992364,0.006081793,0.715601,0.02008688,0.004324676],"study_design_scores_gemma":[0.003003991,0.002865387,0.00002228316,0.00147925,0.0001952135,0.00266219,0.06015295,0.007286171,0.0004611358,0.8867669,0.03429243,0.0008121676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.960752,0.002547527,0.01089972,0.0009183123,0.001688135,0.002010961,0.0001233329,0.00005735565,0.02100268],"genre_scores_gemma":[0.9300938,0.000830677,0.06024938,0.0001019816,0.0008841691,0.0001321241,0.00001121219,0.0004295019,0.007267105],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1711658,"threshold_uncertainty_score":0.9995748,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2325024478081978,"score_gpt":0.4491259220634544,"score_spread":0.2166234742552566,"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."}}