--- Phil Carmody <thefatphil@...
> wrote: >
I'm curious if there's anything special about the
> factors of cyclotomic
> polynomials which are also factors of smaller
> 67 | Phi(1474, 3)
> 67 | Phi(22, 3) first.
> These repeated factors do not have the same
> properties as the primitive
> factors (not ==1 modulo the exponent).
> Is there anything special about them, or are they
> merely chaff that gets
> discarded as uninteresting, or an annoyace?
I have also looked at these factors..
It seems and this is only a conjecture that
then if p|a1
p|a2 => a2=p*a1. (note <= is not true)
A few examples
17|phi(272,7) and 17|phi(16,7) also 16*17=272
113|phi(1582,7) and 113|phi(14,7) also 14*113=1582
59|phi(1711,7) and 59|phi(29,7) also 29*59=1711
5|phi(2500,7) and 5|phi(500,7) also 5*500=2500
109|phi(2943,7) and 109|(27,7) also 27*109=2943
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