Geodesic
E-symmetric numbers
Gang Yu1
1 Department of Mathematics LeConte College University of South Carolina 1523 Greene Street Columbia, SC 29208, U.S.A.
Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 17-25

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A positive integer $n$ is called E-symmetric if there exists a positive integer $m$ such that $|m-n|=(\phi(m),\phi(n))$, and $n$ is called E-asymmetric if it is not E-symmetric. We show that there are infinitely many E-symmetric and E-asymmetric primes.
DOI : 10.4064/cm103-1-3
Keywords: positive integer called e symmetric there exists positive integer m n phi phi called e asymmetric e symmetric there infinitely many e symmetric e asymmetric primes

Gang Yu 1

1 Department of Mathematics LeConte College University of South Carolina 1523 Greene Street Columbia, SC 29208, U.S.A. 
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Gang Yu. E-symmetric numbers. Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 17-25. doi: 10.4064/cm103-1-3

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