2014/08/08 by Cristian Cobeli, Alexandru Zaharescu · 6 citations
Computer Science · Mathematics · #Absolute (philosophy) #Computability, Logic, AI Algorithms #Mathematical Dynamics and Fractals #Mathematics #Philosophy #Theology #advanced mathematical theories #math.NT #msc:11B85 #msc:39A10
paper · pdf · doi:10.1080/10236198.2014.940337
published in The Journal of Difference Equations and Applications 20(11), 1489-1501 (Taylor & Francis) · 14 pages, 7 figures, 1 table
openalex publication_date 2014/08/08 · arxiv created 2014/11/05 · arxiv updated 2014/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work, we discuss a number game that develops in a manner similar to that on which Gilbreath's conjecture on iterated absolute differences between consecutive primes is formulated. In our case the action occurs at the exponent level and there, the evolution is reminiscent of that in a final Ducci game. We present features of the whole field of the game created by the successive generations, prove an analogue of Gilbreath's conjecture and raise some open questions.