{"id":"W2031321365","doi":"10.1155/s0161171202110325","title":"On the irregularity of the distribution of the sums of pairs of odd primes","year":2002,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Ryerson University","keywords":"Mathematics; Conjecture; Combinatorics; Distribution (mathematics); Discrete mathematics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006024687,0.0004430523,0.00129785,0.002552189,0.001633947,0.003454369,0.001873783,0.0007818226,0.002294499],"category_scores_gemma":[0.04334454,0.0006735062,0.0005901539,0.001567306,0.006246949,0.005965009,0.002752781,0.002101195,0.0003351657],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00103341,"about_ca_system_score_gemma":0.000535365,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004710217,"about_ca_topic_score_gemma":0.0003368086,"domain_scores_codex":[0.997515,0.0009049478,0.0001462888,0.0005964558,0.0005154851,0.0003219126],"domain_scores_gemma":[0.9630923,0.02524914,0.003756728,0.004364067,0.001551298,0.001986515],"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":[0.001508529,0.0001382912,0.04229361,0.0002307643,0.0000994871,0.0007715093,0.001820737,0.03822282,0.01013035,0.8665645,0.00348399,0.03473554],"study_design_scores_gemma":[0.00006568601,0.0001220883,0.0113681,0.00006462289,0.00003818707,0.0009493148,0.0003705741,0.1460595,0.004223801,0.8343467,0.002301705,0.00008973453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9168138,0.000477718,0.07501335,0.001002855,0.00007128374,0.00002083031,0.000252852,0.0001568354,0.006190612],"genre_scores_gemma":[0.9911884,0.0003047283,0.006996126,0.00007634689,0.0001973602,0.00005487178,0.0002238983,0.00007035229,0.0008879998],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006024687,"threshold_uncertainty_score":0.03186196,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07882449934248922,"score_gpt":0.3443986252737395,"score_spread":0.2655741259312503,"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."}}