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observation ??...

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master1729...
Posted: Sun Nov 01, 2009 12:42 pm
Guest
observation ??

it appears that on average

with a integer > 1 and p an odd prime :

a^p + 1 has less divisors than a^p - 1.


is that true ? why ?

yes i know about fermat's little and (x^n - 1)/(x - 1) ( see another recent post by me ) , but still.

just because one can give some divisors in closed form for a^p - 1 doesnt seem sufficient to explain this weird observation ...



regards

tommy1729
 
master1729...
Posted: Mon Nov 02, 2009 10:28 am
Guest
[quote]observation ??

it appears that on average

with a integer > 1 and p an odd prime :

a^p + 1 has less divisors than a^p - 1.


is that true ? why ?

yes i know about fermat's little and (x^n - 1)/(x -
1) ( see another recent post by me ) , but still.

just because one can give some divisors in closed
form for a^p - 1 doesnt seem sufficient to explain
this weird observation ...



regards

tommy1729
[/quote]
anyone ?
 
master1729...
Posted: Sat Nov 07, 2009 1:03 pm
Guest
[quote]observation ??

it appears that on average

with a integer > 1 and p an odd prime :

a^p + 1 has less divisors than a^p - 1.


is that true ? why ?

yes i know about fermat's little and (x^n - 1)/(x
-
1) ( see another recent post by me ) , but still.

just because one can give some divisors in closed
form for a^p - 1 doesnt seem sufficient to explain
this weird observation ...



regards

tommy1729

anyone ?
[/quote]
...nobody...
 
 
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