{"id":"W4285172641","doi":"10.4064/cm8745-2-2022","title":"Consecutive neighbour spacings between the prime divisors of an integer","year":2022,"lang":"en","type":"article","venue":"Colloquium Mathematicum","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Lambda; Prime (order theory); Integer (computer science); Combinatorics; Prime factor; Discrete mathematics; Physics; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007166899,0.0003512391,0.0004880909,0.0006994678,0.001314137,0.001599705,0.001372467,0.00086438,0.007984587],"category_scores_gemma":[0.007046862,0.0003427691,0.0003726524,0.0007503523,0.001530858,0.00160343,0.001223727,0.00165196,0.00206734],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006034971,"about_ca_system_score_gemma":0.0005383065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005900153,"about_ca_topic_score_gemma":0.001005302,"domain_scores_codex":[0.9994011,0.00008080554,0.00003273952,0.0002088932,0.0001512018,0.0001252261],"domain_scores_gemma":[0.9980428,0.0007869823,0.0002157444,0.0004828827,0.000195866,0.0002757361],"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":[0.001349478,0.0002211169,0.005957286,0.0003404854,0.00004480552,0.001521506,0.001159293,0.009070034,0.06965846,0.8244866,0.006636905,0.07955409],"study_design_scores_gemma":[0.00029893,0.0008482047,0.0127547,0.0001690465,0.0001308026,0.005579568,0.001068712,0.07162432,0.08771641,0.7331607,0.08640727,0.0002412949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6727671,0.001522125,0.1889184,0.001533579,0.002209604,0.0001182997,0.0005509462,0.0009764762,0.1314034],"genre_scores_gemma":[0.9257857,0.0004468359,0.0499616,0.0002659371,0.0001973484,0.0001089852,0.0002587553,0.0001982854,0.02277659],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007984587,"threshold_uncertainty_score":0.02671105,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06153117003256979,"score_gpt":0.3474273076178812,"score_spread":0.2858961375853113,"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."}}