{"id":"W4417100986","doi":"10.5539/jmr.v14n5p46","title":"An Equivalent Form in Fermat&amp;#39;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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001375522,0.0005639919,0.0005832987,0.001082657,0.001837755,0.001937131,0.001025273,0.001398742,0.01711119],"category_scores_gemma":[0.003945654,0.000241793,0.001059106,0.0008443539,0.003684515,0.004154653,0.001571461,0.002636067,0.003710331],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001270623,"about_ca_system_score_gemma":0.0007713931,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007964448,"about_ca_topic_score_gemma":0.0006397162,"domain_scores_codex":[0.9986697,0.000293384,0.00008614284,0.000322666,0.0004263626,0.0002017576],"domain_scores_gemma":[0.9992138,0.0002235625,0.00008335265,0.0001394473,0.0002519198,0.00008781641],"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":[0.00003196212,0.00001147534,0.00008543237,0.00002367444,0.000002431183,0.00008672677,0.00009582536,0.0001730125,0.0004729091,0.9869773,0.00494614,0.00709309],"study_design_scores_gemma":[0.00002348424,0.00005376308,0.0002048157,0.00001662067,0.000007737635,0.0002808213,0.00005495144,0.001439382,0.0007082126,0.9610512,0.03614105,0.00001805682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1108126,0.001998776,0.3356345,0.01211475,0.00804638,0.000164203,0.0008492792,0.0007125404,0.529667],"genre_scores_gemma":[0.7921904,0.0008793607,0.1122903,0.00547953,0.00311594,0.0001549064,0.000600082,0.0003924045,0.08489703],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01711119,"threshold_uncertainty_score":0.05724263,"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."}}