A179892 - OEIS

%I #2 Mar 30 2012 17:26:35

%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,22,24,26,28,30,32,34,36,

%T 38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,

%U 84,86,88,90,92,94,96,98,100,102,104,106,108,110,112,114,116,118,120

%N Numbers which are not the sum of three distinct members of twin primes.

%C All positive even numbers are terms of the sequence:

%C members of twin primes are odd and the sum of three odd primes is odd.

%C No odd numbers >=19 are in the sequence (conjecture?).

%e 15=3+5+7, 19=3+5+11 hence 15 and 19 are not in the sequence.

%t pr=Prime[Range[100]];se=Select[pr,PrimeQ[ #-2]||PrimeQ[ #+2]&];

%t se2=Select[Union[Total/@Subsets[se,{3}]],#<200&];Complement[Range[200],se2]

%Y Cf. A007534 Even numbers which are not the sum of a pair of twin primes.

%K nonn

%O 1,2

%A _Zak Seidov_, Jul 30 2010