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%I #21 Sep 15 2015 16:27:15
%S 18,18,43,18,33,63,55,69,86,101,16,50,102,165,64,210,153,225,259,177,
%T 40,247,252,220,225,122,343,297,230,303,375,316,366,74,300,311,410,
%U 463,400,370,442,188,395,377,458,426,274,327,546,334,383,324,495,498,457,643,444,553,506,359,712,502,681,369,514
%N Largest m associated with n-th Pillai prime (A063980).
%H Charles R Greathouse IV, <a href="/A211411/b211411.txt">Table of n, a(n) for n = 1..10000</a>
%H G. E. Hardy and M. V. Subbarao, <a href="http://www.math.ualberta.ca/~subbarao/documents/2002_Pillai.pdf">A modified problem of Pillai and some related questions</a>, Amer. Math. Monthly 109:6 (2002), pp. 554-559.
%F 19 <= a(n) <= p-7 for n > 11, where p = A063980(n).
%o (PARI) last(p)=if(p==23,18,my(t=Mod(1/120,p));forstep(m=p-6,8,-1,t/=m; if(t==-1,return(m-1))))
%o Pillai(p)=my(t=Mod(5040, p)); for(m=8, p-2, t*=m; if(t==-1 && p%m!=1, return(1))); 0
%o apply(last, select(Pillai, primes(300)))
%Y Trivially a(n) >= A063828(n). Cf. A063980.
%K nonn
%O 1,1
%A _Charles R Greathouse IV_, Feb 10 2013
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