A088199 Primes where the difference sequence (A088197) of LQnR(p_n) (A088196) is <= 0.

73, 193, 241, 313, 433, 601, 1033, 1129, 1153, 1201, 1321, 1489, 1609, 1873, 2089, 2113, 2593, 2689, 2713, 3001, 3049, 3121, 3169, 3361, 3529, 3673, 3769, 3889, 4129, 4273, 4729, 4801, 4969, 5233, 5281, 5449, 5521, 5569, 5641, 5689, 5881, 6361, 6553

Offset: 1

Author

Ferenc Adorjan (fadorjan(AT)freemail.hu), Sep 23 2003

Keywords

• nonn

Comments

The members of the sequence are always == 1 modulo 8 (conjectured!).

Crossrefs

Cf. A088193, A088196, A088197, A088198, A088200, A088201.

Programs

PARI

qnrp_p_nm(n)= {/* The primes where the sequence of the largest QnR modulo the primes is nonmonotonic */ local(k=1,m,p,fl,jj,j,v=[]); for(i=2,n,m=0; p=prime(i); jj=0; fl=2^p-1; j=2; while((j<=(p-1)/2),jj=(j^2)%p; fl-=2^jj; j++); j=p-1; while(m==0,if(bitand(2^j,fl),m=j); j--); if(m-k<=0,v=concat(v,p)); k=m); print(v)}