A091385 Distance (A091382) of primes from the largest quadratic "mixed" residues modulo the primes (A091380), where the latter is non-monotonic.

2, 7, 11, 7, 11, 11, 7, 17, 7, 7, 7, 13, 11, 13, 7, 11, 7, 11, 13, 7, 11, 13, 11, 7, 11, 11, 13, 7, 7, 11, 13, 19, 11, 17, 11, 7, 7, 7, 13, 13, 17, 11, 11, 17, 11, 13, 19, 11, 13, 11, 7, 7, 11, 19, 11, 11, 7, 13, 11, 11, 13, 13, 7, 13, 17, 13, 11, 17, 11, 19, 11, 11, 11, 13, 23, 7, 17, 7

Offset: 1

Author

Ferenc Adorjan (fadorjan(AT)freemail.hu)

Keywords

• easy
• nonn

Comments

For n > 1, the values are some odd primes, but never < 7. The maximum value increases very slowly, it only reaches 43 for the first 10^5 primes.

Links

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

Crossrefs

Cf. A091380, A091381, A091382, A091383, A091384, A088195, A088201.

Programs

PARI

{/* The distance of LQxR from the primes where the sequence of the largest "mixed" QR modulo the primes is non-monotonic */ lqxr_nm_pd(to)=local(v=[],k,r,q,p,e=1,n=0,i=1); while(nr,k-=1); if(k-e<=0,v=concat(v,p-k);n+=1);e=k); print(i);print(v) }