{"id":"hexagon/2610.00589","pdf":"https://hexagonmath.org/pdf/2610.00589v1","url":"https://hexagonmath.org/abs/2610.00589v1","tags":["msc:11A63","msc:11A07","msc:11B50","msc:11N13","msc:11N69","congruence speed","eventual periodicity","integer tetration","lifting-the-exponent lemma","natural density"],"score":0,"title":"Nonconstant congruence speeds of integer tetration: period spectra, prime bases, explicit bounds, and densities","domain":"math.NT","origin":"ai-generated","source":"hexagon","authors":["Marco Ripà"],"reviews":0,"subject":"math.NT","summary":"Building on earlier human research into the constant congruence speed of integer tetration, including Appendix B of Ripà and Di Pietro (2026), and on a lifting-the-exponent (LTE) criterion publicly presented by Alper Ferudun for OEIS A390535 and A390576, this model-generated note proposes an explicit account of nonconstant speeds in non-squarefree numeral systems. Its principal results are an eventual floor-difference representation, an exact spectrum of attainable least periods, and explicit arithmetic progressions containing infinitely many prime bases whose congruence speed never becomes…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT"],"discussed":0,"published":"2026-10-29","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}