%I #16 Apr 20 2020 05:35:16
%S 1,4,25,26,43,77,201,336,881,2144,22305,24113,44349,48748,153884,
%T 400161,793873,1195455,5066329,6227954,11394871,16233979,18368369,
%U 63843903,80998288,117335658,246252769,6420049930,23198011949,30432298548,62709861290,117888644809
%N Where records of A309036 occur.
%C Numbers m such that A309036(m) > A309036(k) for all k < m.
%H Giovanni Resta, <a href="/A309056/b309056.txt">Table of n, a(n) for n = 1..37</a>
%F A309055(n) = A309036(a(n)).
%e a(3) = 25 is a term because A309036(25) = 20 and A309036(k) < 20 for k < 25.
%p S1:= 0: S2:= 0: Recn:= NULL: count:= 0:
%p maxv:= 0:
%p for n from 1 to 200000 do
%p p:= ithprime(n);
%p S1:= S1 + p;
%p S2:= S2 + n*p;
%p v:= igcd(S1, S2);
%p if v > maxv then
%p maxv:= v;
%p count:= count+1;
%p Recn:= Recn, n;
%p fi
%p od:
%p Recn;
%o (PARI) lista(nn) = {my(k=r=s=t=0); forprime(p=2, nn, if(gcd(s+=p, t+=(k++)*p)>r, r=gcd(s,t); print1(k, ", "))); } \\ _Jinyuan Wang_, Apr 16 2020
%Y Cf. A309036, A309055.
%K nonn
%O 1,2
%A _Robert Israel_, Jul 09 2019
%E a(16)-a(27) from _Rémy Sigrist_, Jul 09 2019
%E a(28) from _Jinyuan Wang_, Apr 16 2020
%E Terms a(29) and beyond from _Giovanni Resta_, Apr 19 2020