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A234298 Ramanujan prime R_k such that pi(R_(k+1)) - pi(R_k) are record values: record Ramanujan prime A190874(k).

%I A234298 #19 Jul 16 2016 07:24:06
%S A234298 2,71,181,503,2531,5273,9887,11587,55339,174917,225961,534883,2492311,
%T A234298 5409337,130449773,141833603,212583797,658046911,1183597123,
%U A234298 2897211971,5602581277,46992178547,70637059291,158465541049,182591976709,339683208863
%N A234298 Ramanujan prime R_k such that pi(R_(k+1)) - pi(R_k) are record values: record Ramanujan prime A190874(k).
%C A234298 These are the primes preceding the unique values of A174641.  That sequence is the start of a run of non-Ramanujan primes, so the previous prime is the Ramanujan prime. - _Dana Jacobsen_, Jul 14 2016
%o A234298 (Perl) perl -Mntheory=:all -nE 'my $n = $1 if /(\d+)$/; say ++$x," ",prev_prime($n) unless $seen{$n}++;' b174641.txt  # _Dana Jacobsen_, Jul 14 2016
%o A234298 (Perl) use ntheory ":all"; my($max,$r)=(0,ramanujan_primes(1e7)); for (0..$#$r-1) { my $d=prime_count($r->[$_+1])-prime_count($r->[$_]); if ($d > $max) { say $r->[$_]; $max=$d; } } # _Dana Jacobsen_, Jul 14 2016
%Y A234298 Record values are in A202186, index of A190874 at record terms in A202187, A202188 is the index of A168425 when A174641(n) = A168425(m); A202188(n) = m. A202187 is also the index of a(n).
%K A234298 nonn
%O A234298 1,1
%A A234298 _John W. Nicholson_, Dec 22 2013
%E A234298 a(20) to a(26) from _Dana Jacobsen_, Jul 14 2016