Journal of Integer Sequences, Vol. 12 (2009), Article 09.6.2 |

Department of Applied Mathematics

College of Information Science and Technology

Hainan University

Haikou 570228

P. R. China

**Abstract:**

In this note we prove that there are no perfect totient numbers of the
form 3^{k}*p*,
*k* ≥ 4, where *s*
= 2^{a} 3^{b} + 1,
*r* = 2^{c} 3^{d} *s* + 1,
*q* = 2^{e} 3^{f} *r* + 1,
and *p* = 2^{g} 3^{h} *q* + 1
are primes with *a,c,e,g* ≥ 1, and *b,d,f,h* ≥ 0.

(Concerned with sequence A082897.)

Received April 14 2009;
revised version received July 18 2009.
Published in *Journal of Integer Sequences*, August 30 2009.

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