A088201 Distance p_n-LQnR(p_n) (A088198) where the difference sequence (A088197) of LQnR(p_n) (A088196) is <= 0.

5, 5, 7, 5, 5, 7, 5, 11, 5, 11, 7, 7, 7, 5, 7, 5, 5, 13, 5, 7, 11, 7, 7, 11, 13, 5, 7, 11, 7, 5, 11, 7, 7, 5, 7, 7, 7, 13, 7, 7, 11, 7, 5, 5, 11, 7, 7, 7, 13, 13, 17, 5, 11, 11, 17, 11, 7, 7, 13, 5, 7, 7, 13, 7, 5, 7, 7, 5, 5, 13, 5, 7, 11, 13, 7, 7, 17, 11, 5, 7, 11, 11, 7, 11, 7, 7, 5, 7

Offset

1,1

Comments

The terms are conjectured to be odd primes > 3.

It is also conjectured that the i-th member of A088200 is -2 if and only if a(i) is 5.

The terms are conjectured to be odd primes > 3 (the primality is provable).

Links

Table of n, a(n) for n=1..88.

Ferenc Adorjan, The sequence of largest quadratic residues modulo the primes.

Prog

(PARI) qnrp_pm_nm(n)= {/* The distance of p from LQnR 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-m)); k=m); print(v)}

Crossrefs

Cf. A088195, A088196, A088197, A088198, A088199, A088200.

Sequence in context: A003103 A122273 A052247 * A352353 A195380 A139261

Adjacent sequences: A088198 A088199 A088200 * A088202 A088203 A088204

Keyword

nonn

Author

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

Status

approved