{"id":"W4385553032","doi":"10.14293/pr2199.000257.v1","title":"Primality test and repeating decimal digits","year":2023,"lang":"en","type":"preprint","venue":"","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Primality test; Decimal; Arithmetic; Prime (order theory); Fermat's Last Theorem; Mathematics; Test (biology); Discrete mathematics; Computer science; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001453217,0.0003158947,0.0005448913,0.00008613357,0.000162542,0.0001024483,0.0002842243,0.0002939359,0.0001307931],"category_scores_gemma":[0.005971656,0.0002847355,0.0001257284,0.00006091065,0.0001328726,0.00006162922,0.0009991399,0.0005344684,0.000118301],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007389198,"about_ca_system_score_gemma":0.00008316375,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001197706,"about_ca_topic_score_gemma":0.00003484104,"domain_scores_codex":[0.9982696,0.00008121425,0.0005919426,0.0005069742,0.0002883201,0.0002619501],"domain_scores_gemma":[0.9960882,0.002595795,0.0003288879,0.000789654,0.00008190057,0.0001155398],"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":[0.00003132821,0.0007254318,0.003042565,0.01076365,0.0002922726,0.0001516616,0.007703075,0.0000109585,0.0001911354,0.9388317,0.03195931,0.006296871],"study_design_scores_gemma":[0.0001470753,0.00002679682,0.0003045182,0.0004708223,0.00007948834,0.0000192996,0.0001757833,0.0004365256,0.0001927483,0.9956694,0.002104318,0.0003732438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6423972,0.0001707952,0.0256171,0.0005065285,0.001239561,0.00140546,0.0001511611,0.002772036,0.3257401],"genre_scores_gemma":[0.4829038,0.00008722395,0.3277912,0.0002217411,0.0007667142,0.0001934491,0.00006447761,0.0003881187,0.1875832],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3021741,"threshold_uncertainty_score":0.9999605,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1430744072915443,"score_gpt":0.3478220345501745,"score_spread":0.2047476272586301,"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."}}