{"id":"W4402685457","doi":"10.2478/ijmce-2025-0020","title":"Odd and even symmetric prime constellations","year":2024,"lang":"en","type":"article","venue":"International Journal of Mathematics and Computer in Engineering","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"","keywords":"Prime (order theory); Constellation; Computer science; Mathematics; Combinatorics; Astronomy; Physics","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":[0.001218289,0.0003970431,0.0006009558,0.0008498536,0.000974274,0.001724486,0.0005991791,0.0004833613,0.008312708],"category_scores_gemma":[0.005365207,0.0002240576,0.0003773712,0.0007229087,0.001932254,0.003299391,0.001831977,0.00133351,0.000731905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006555098,"about_ca_system_score_gemma":0.0004607921,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001556543,"about_ca_topic_score_gemma":0.0001299379,"domain_scores_codex":[0.999055,0.0002866964,0.00006097357,0.0001907815,0.0002364669,0.0001700493],"domain_scores_gemma":[0.9965447,0.001627084,0.0004761662,0.0007349891,0.0003664256,0.0002507289],"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":[0.000710411,0.00006116226,0.002706762,0.0002157088,0.00002142881,0.0004654251,0.0004708545,0.01689745,0.0125779,0.9286106,0.002868458,0.03439372],"study_design_scores_gemma":[0.00007766861,0.0001719212,0.001035566,0.00006984728,0.00002024728,0.0007260201,0.0004203938,0.03165009,0.0108918,0.9422269,0.01267888,0.0000305561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5950859,0.001029299,0.3163309,0.001778864,0.0002404724,0.0001678088,0.0008242278,0.0004502346,0.08409227],"genre_scores_gemma":[0.9693242,0.0002691555,0.02682761,0.00009323818,0.00006583653,0.00004075241,0.0003146011,0.00003148934,0.003033146],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008312708,"threshold_uncertainty_score":0.02780879,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02818771560972514,"score_gpt":0.3128196406316813,"score_spread":0.2846319250219562,"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."}}