%I A007534 M1306
%S A007534 2,4,94,96,98,400,402,404,514,516,518,784,786,788,904,906,908,1114,
%T A007534 1116,1118,1144,1146,1148,1264,1266,1268,1354,1356,1358,3244,3246,3248,
%U A007534 4204,4206,4208
%N A007534 Even numbers which are not the sum of a pair of twin primes.
%C A007534 No other n < 10^9. - T. D. Noe (noe(AT)sspectra.com), Apr 10 2007
%D A007534 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007534 D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. 
               Penguin Books, NY, 1986, 132.
%H A007534 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               TwinPrimes.html">Link to a section of The World of Mathematics.</
               a>
%H A007534 <a href="Sindx_Go.html#Goldbach">Index entries for sequences related 
               to Goldbach conjecture</a>
%e A007534 The twin primes < 100 are 3, 5, 7, 11, 13, 17, 19, 29, 31, 41, 43, 59, 
               61, 71, 73. 94 is in the sequence because no combination of any two 
               numbers from the set just enumerated can be summed to make 94.
%t A007534 p = Select[ Range[ 4250 ], PrimeQ[ # ] && PrimeQ[ # + 2 ] & ]; q = Union[ 
               Join[ p, p + 2 ] ]; Complement[ Table[ n, {n, 2, 4250, 2} ], Union[ 
               Flatten[ Table[ q[ [ i ] ] + q[ [ j ] ], {i, 1, 223}, {j, 1, 223} 
               ] ] ] ]
%Y A007534 Cf. A051345.
%Y A007534 Cf. A129363 (number of partitions of 2n into the sum of two twin primes).
%Y A007534 Sequence in context: A009277 A018410 A156496 this_sequence A009379 A092918 
               A018428
%Y A007534 Adjacent sequences: A007531 A007532 A007533 this_sequence A007535 A007536 
               A007537
%K A007534 nonn,nice,fini
%O A007534 1,1
%A A007534 N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
%E A007534 Conjectured to be complete (although if this were proved it would prove 
               the "twin primes conjecture"!).