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Research Article Open access CC BY 4.0

Research on Equation \(\varphi\) (x)+2 = \(\varphi\) (x+2)

Huang Yize, Shen Zhongyan

Journal of Advances in Mathematics and Computer Science · pp. 122–132 · Published 15 May 2023

10.9734/jamcs/2023/v38i71778

Abstract

In this paper, we use the properties of Euler’s function, elementary methods and the idea of classification discussion to study the solvability of equation \(\varphi\) (x)+2 = \(\varphi\) (x+2)

Euler function equation solution Mersenne prime Twin prime

References (3)

  1. 1 Elementary Number Theory [DOI]
  2. 2 Some Equations Involving Euler's Totient Function [DOI]
  3. 3 Some Remarks on Euler's Totient [DOI]

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