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Old 2020-07-13, 13:55   #18
devarajkandadai
 
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May 2004

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Default A tentative question

Quote:
Originally Posted by devarajkandadai View Post
There seems to be no non-residues higher than quadratic order;is this related to Fermat's last theorem?
Sorry;just proved that 23 is a non-residue of 7919 upto infinite order. This was done with aid of my paper "Euler's generalization of Fermat's theorem ( a further generalization)- Hawaii international conference ,2004.
Verification : pari code -

Also is(n)=Mod(17,7919)^n==23
select(is,[1..7922]==23

Last fiddled with by devarajkandadai on 2020-07-13 at 14:00 Reason: Corrected pari code
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