%I #11 Mar 31 2012 10:29:10
%S 7,13,31,91,451,539,1397,1417,1777,3139,14419,39751,77507,96157,
%T 158173,214979,263113,496723,1046179,3415297,3546371,4306549,9456677,
%U 18338311,45521269,243377803,766707661,1023263789,8032822531,92635306249,151318414531,352799777983
%N Odd numbers n>5 in the representation n=2*p+q, p, q prime, q maximal, at which a larger p than for any smaller n is needed. A195354 gives values of p.
%C 2*(Positions of records in A195352) + 1.
%C Checked up to n = 10^13.
%D See A002091.
%H Hugo Pfoertner, <a href="/A195353/b195353.txt">Table of n, a(n) for n = 1..41</a>
%e a(3)=31 because it is the first number for which the representation n=2*p+q needs a larger value of p than for all smaller odd numbers. 31=2*7+17, whereas all smaller odd n can be expressed using p=2 or p=3.
%Y Cf. A195352, A195354 (records of p), A194828 (similar, but looking for records of q with p maximized)
%K nonn
%O 1,1
%A _Hugo Pfoertner_, Sep 16 2011
%E a(36)-a(41) from _Hugo Pfoertner_, Sep 26 2011