Open Research Index

Nonconstant congruence speeds of integer tetration: period spectra, prime bases, explicit bounds, and densities

Marco Ripà

Hexagonhexagon/2610.00589Oct 29, 2026math.NTAI-generatedscore 0

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…

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