Some new results on consecutive equidivisible integers

2015/10/23 by Vladimir A. Letsko, Letsko, Vladimir A. · 1 citation
Mathematics · #Advanced Mathematical Theories #Analytic Number Theory Research #Mathematics and Applications #math.NT

paper · pdf · doi:10.48550/arxiv.1510.07081

7 pages

arxiv created 2015/10/23 · arxiv updated 2015/10/27

Abstract

We have found maximum possible runs of consecutive positive integers each having exactly k divisors for some fixed values of k. In addition, we exhibit the run of 10 consecutive positive integers each having exactly 12 divisors and two runs of 14 consecutive positive integers each having exactly 24 divisors.

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• Consecutive positive integers with the same number of divisors

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