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Odd numbers n>5 in the representation n=2*p+q, p, q prime, q minimal, at which a larger q than for any smaller n is needed. A194829 gives values of q.
6

%I #24 Mar 31 2012 10:29:10

%S 7,11,21,23,55,83,167,611,887,1487,1571,10771,12227,13523,16321,44881,

%T 54863,57887,93167,189947,404939,442307,1746551,3383593,3544391,

%U 5056787,6811307,25619213,87170987,404940757,526805663,707095391,1009465507,1048720723

%N Odd numbers n>5 in the representation n=2*p+q, p, q prime, q minimal, at which a larger q than for any smaller n is needed. A194829 gives values of q.

%C Related to Lemoine's conjecture, similar to A002091, but with q=1 excluded. Checked up to 2*10^13.

%D See A002091.

%H Hugo Pfoertner, <a href="/A194828/b194828.txt">Table of n, a(n) for n = 1..50</a>

%H See A002091.

%e a(4)=23, because 23 can only be represented by 23=2*5+13, whereas in A002091 23=2*11+1 avoids the need of increasing q for this representation.

%Y Cf. A002091, A002092, A194829, A195353.

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Sep 03 2011