A Note On Perfect Totient Numbers
Deng Moujie
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 3kp,
k ≥ 4, where s
= 2a 3b + 1,
r = 2c 3d s + 1,
q = 2e 3f r + 1,
and p = 2g 3h q + 1
are primes with a,c,e,g ≥ 1, and b,d,f,h ≥ 0.
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(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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