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A091383 Prime numbers where the sequence of largest quadratic "mixed" residues modulo the primes (A091380) is non-monotonic. 5

%I

%S 3,7,31,71,103,151,199,239,271,311,359,463,599,719,823,839,911,1063,

%T 1231,1279,1303,1439,1559,1871,1879,1951,1999,2143,2239,2311,2351,

%U 2383,2399,2551,2711,2791,3191,3391,3463,3559,3583,3823,3911,3919,4079,4159

%N Prime numbers where the sequence of largest quadratic "mixed" residues modulo the primes (A091380) is non-monotonic.

%C All of these primes belong to the +-1 least absolute reside classes modulo 8. (Tested for 10^5 primes.)

%H Ferenc Adorjan, <a href="http://web.axelero.hu/fadorjan/qrp.pdf">The sequence of largest quadratic residues modulo the primes</a>

%o (PARI) {/* The primes where the sequence of the largest "mixed" QR modulo the primes is non-monotonic */ lqxr_nm_p(to)=local(v=[],k,r,q,p,e=1,n=0,i=1); while(n<to,i+=1;p=prime(i);k=p-1;r=p%4-2; while(kronecker(k,p)<>r,k-=1); if(k-e<=0,v=concat(v,p);n+=1);e=k); print(i);print(v) }

%Y Cf. A091380, A091381, A091382, A091384, A091385, A088190, A088193, A088199.

%K easy,nonn

%O 1,1

%A Ferenc Adorjan (fadorjan(AT)freemail.hu)

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Last modified October 24 14:44 EDT 2021. Contains 348233 sequences. (Running on oeis4.)