[seqfan] Re: A055699

[israel at math.ubc.ca]

The sequence as defined should include all primes, since if p is prime, 
Sigma_5(p) = 1 + p^5 == 1 mod p while phi(p)^5 = (p-1)^5 == -1 mod p. The 
non-primes < 10000 in the sequence should be 1, 950, 2024, 2230, 3738, 
5363, 9438, 9581.

Robert Israel
University of British Columbia

On Mar 11 2013, Harvey P. Dale wrote:

>        The terms of the sequence are dramatically different than what a 
> Mma program generates from the definition. Using either the program 
> already submitted for the sequence or my own (immediately below), quite 
> different terms are generated:
>
>Select[Range[1000],Divisible[DivisorSigma[5,#]+(EulerPhi[#])^5,#]&]
>
> Should the terms of the sequence be corrected or is there some problem 
> with the current definition and Mma program?
>
>Best,
>
>Harvey
> 
>
>
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