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A088194 Members of the difference sequence (A088191) of the sequence of largest quadratic residues modulo the primes (A088190), where the latter is non-monotonic. 6

%I #8 Mar 14 2018 03:51:06

%S 0,0,0,-1,0,0,0,0,0,-5,0,0,0,0,0,0,-1,0,0,0,0,0,-10,-1,0,0,0,0,0,0,-7,

%T 0,-4,0,-1,0,-5,0,0,0,0,0,-7,0,-4,0,0,0,0,0,-4,0,0,-2,0,-1,0,-5,0,0,0,

%U 0,-8,0,0,0,0,-4,-11,0,0,0,-1,0,-2,0,0,0,0,0,0,0,0,0,0,-2,-5,0,0,0,0,-5,0,0,-5,0,0,0,-1

%N Members of the difference sequence (A088191) of the sequence of largest quadratic residues modulo the primes (A088190), where the latter is non-monotonic.

%C The negative values are either primes or composites (Cf. A088200).

%o (PARI) qrp_d_nm(to)= {/* The difference sequence values where the sequence of the largest QR modulo the primes is non-monotonic */ local(m,k=1,p,v=[]); for(i=2,to,m=1; p=prime(i); j=2; while((j<=(p-1)/2)&&(m<p-1),m=max(m,(j^2)%p); j++); if((m-k)<=0,v=concat(v,m-k)); k=m); print(v) }

%Y Cf. A088190, A088191, A088192, A088193, A088195.

%K easy,sign

%O 1,10

%A Ferenc Adorjan (fadorjan(AT)freemail.hu), Sep 22 2003

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