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math.NT2026
The Prime Wavelet Tree: Compressing the Carmichael Numbers
Ankur Gupta, Jonathan Webster, Sylvia Webster
We present two number-theoretic compression techniques. The first is \textit{local}, and compresses individual numbers. The second is \textit{global}, and compresses the entire set…
math.NT2026
Primes and almost primes between cubes
Daniel R. Johnston, Jonathan P. Sorenson, Simon N. Thomas +1
In this paper we study the problem of detecting prime numbers between all consecutive cubes. Firstly, we use a large computation to show that there is always a prime between …