Quote:
Originally Posted by devarajkandadai
There seems to be no non-residues higher than quadratic order;is this related to Fermat's last theorem?
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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