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

3, 7, 31, 71, 103, 151, 199, 239, 271, 311, 359, 463, 599, 719, 823, 839, 911, 1063, 1231, 1279, 1303, 1439, 1559, 1871, 1879, 1951, 1999, 2143, 2239, 2311, 2351, 2383, 2399, 2551, 2711, 2791, 3191, 3391, 3463, 3559, 3583, 3823, 3911, 3919, 4079, 4159

Offset: 1

Author

Ferenc Adorjan (fadorjan(AT)freemail.hu)

Keywords

• easy
• nonn
• changed

Comments

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

Where does this first differ from A088193 (if at all)? - R. J. Mathar, Aug 27 2025

Links

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

Crossrefs

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

Programs

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(nr,k-=1); if(k-e<=0,v=concat(v,p);n+=1);e=k); print(i);print(v) }