Geodesic
Carmichael Numbers with a Square Totient
Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 3-8

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DOI

Let $\varphi$ denote the Euler function. In this paper, we show that for all large $x$ there are more than ${{x}^{0.33}}$ Carmichael numbers $n\,\le \,x$ with the property that $\varphi \left( n \right)$ is a perfect square. We also obtain similar results for higher powers.
DOI : 10.4153/CMB-2009-001-7
Mots-clés : 11N25, 11A25 
Banks, W. D. Carmichael Numbers with a Square Totient. Canadian mathematical bulletin, Tome 52 (2009) no. 1, pp. 3-8. doi: 10.4153/CMB-2009-001-7
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     title = {Carmichael {Numbers} with a {Square} {Totient}},
     journal = {Canadian mathematical bulletin},
     pages = {3--8},
     year = {2009},
     volume = {52},
     number = {1},
     doi = {10.4153/CMB-2009-001-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-001-7/}
}
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