On composite n dividing φ(n)‎ T(n)‎+2

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al-Aydarus, Husayn Abd al-Qadir Muhammad

Abstract

الملخص EN

 


Let φ denote the Eular's Totitient .


For any positive integer n let τ(n) denote the number of its positive divisors .


If T is the set of all composite numbers n > 4 for which n divides φ(n) τ(n) + 2 , we prove that every nЄT has at least five distinct prime factors .


Our result improves that of Yong- Gao and Jin -Hui Fang [4] and of Subbarao [3] .The proofs presented in the paper entirely different from the earlier authors .

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How to Cite
al-Aydarus, Husayn Abd al-Qadir Muhammad. (2023). On composite n dividing φ(n)‎ T(n)‎+2. Alandalus Journal for Applied Sciences, 7(12), 15. Retrieved from http://andalusuniv.net/journ/index.php/AJAS/article/view/742
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