{"id":"W947555791","doi":"10.1007/978-1-4614-6642-0_18","title":"On Prime Factors of Terms of Linear Recurrence Sequences","year":2013,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Sequence (biology); Combinatorics; Integer (computer science); Prime (order theory); Order (exchange); Zero (linguistics); Mathematics; Prime number; Physics; Chemistry; Computer science; Philosophy","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001204752,0.000714353,0.001661619,0.0006218467,0.00005714197,0.00004308362,0.001004315,0.0004805404,0.00101624],"category_scores_gemma":[0.003377421,0.0006138018,0.0001907639,0.0001341981,0.0007141348,0.0001196252,0.0003303711,0.00104651,0.0001128655],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000204443,"about_ca_system_score_gemma":0.0001629159,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001845777,"about_ca_topic_score_gemma":0.000007018553,"domain_scores_codex":[0.9953809,0.00001624947,0.001969345,0.0005822661,0.001516717,0.0005345162],"domain_scores_gemma":[0.9940065,0.002360233,0.002114182,0.0005815126,0.0007784233,0.0001591256],"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":[0.00001912362,0.0002248911,0.0001647384,0.005755397,0.00015212,0.000009658924,0.002643074,0.00000110643,0.000190283,0.9892526,0.0008855519,0.0007014011],"study_design_scores_gemma":[0.0002362308,0.0002607829,0.00002055885,0.003980536,0.0001489345,0.000004923106,0.0002369427,0.001063597,0.002708249,0.990558,0.0002657999,0.0005154674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.03560911,0.000124837,0.02320426,0.00003621293,0.0003577773,0.003475984,0.001189397,0.0001589704,0.9358435],"genre_scores_gemma":[0.06973631,0.0005429956,0.6845114,0.00001468685,0.0001718611,0.00007826744,0.00004804168,0.0005694562,0.244327],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.6915165,"threshold_uncertainty_score":0.9998969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07119646019943035,"score_gpt":0.3390687629532783,"score_spread":0.2678723027538479,"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."}}