{"id":"W2073568805","doi":"10.1090/s0025-5718-05-01723-0","title":"The continuing search for Wieferich primes","year":2005,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Mathematics and Applications","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Killam Trusts; Dalhousie University","keywords":"Mathematics; Prime (order theory); Congruence (geometry); Computation; Discrete mathematics; Combinatorics; Algorithm; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[],"consensus_categories":[],"category_scores_codex":[0.0009524187,0.0001220929,0.0002407608,0.0000497468,0.0001537012,0.00006577723,0.0002443108,0.00004666374,0.00001117301],"category_scores_gemma":[0.0003089523,0.00008792525,0.0001036307,0.0001367276,0.00007068149,0.00006643361,0.00004750318,0.00006797833,0.00001098129],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002679011,"about_ca_system_score_gemma":0.00002537234,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001051358,"about_ca_topic_score_gemma":0.000004752488,"domain_scores_codex":[0.9987634,0.00002382858,0.0006031678,0.0001266459,0.0002841465,0.0001988577],"domain_scores_gemma":[0.9960604,0.002964032,0.0003225398,0.0002907051,0.0003242811,0.00003806152],"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":[0.000009638095,0.0003796775,0.000008477999,0.0006667593,0.00006415265,6.281789e-8,0.006158493,0.0006505387,0.001990888,0.9418172,0.01000643,0.03824763],"study_design_scores_gemma":[0.0005599298,0.00006524565,0.00002329507,0.0001487055,0.00007124516,0.000005268132,0.0009894627,0.3167637,0.01975928,0.6515054,0.009915795,0.0001926381],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1843484,0.00007477391,0.8103687,0.0008969613,0.00003758338,0.001080468,0.00000959488,0.00007652438,0.003107069],"genre_scores_gemma":[0.5329895,0.00000947115,0.4662536,0.00001004636,0.00007676829,0.00009916521,0.000004914577,0.00002528485,0.0005312432],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3486411,"threshold_uncertainty_score":0.3585488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05444991498185719,"score_gpt":0.3663539798274647,"score_spread":0.3119040648456075,"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."}}