Published on: 2025-05-24 21:55:54
I’ve just uploaded to the arXiv the paper “Decomposing a factorial into large factors“. This paper studies the quantity , defined as the largest quantity such that it is possible to factorize into factors , each of which is at least . The first few values of this sequence are OEIS A034258 ). For instance, we have, because on the one hand we can factor but on the other hand it is not possible to factorizeinto nine factors, each of which isor higher. This quantity was introduced by Erdös, who a
Keywords: bound factorization factors heavy prime
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