Negation Of Goldbachs Conjecture 

Not( $\forall{\quad}n\geq{2},{\quad}\exists{\quad}p{}rimes{\quad}p,q{\quad}s.t.{\quad}p+q=2n.)$
But what does this really mean? If you are tempted to write
$\forall{\quad}n\geq{2},{\quad}there{\quad}do{\quad}not{\quad}exist{\quad}p{}rimes{\quad}p,q{\quad}s.t.{\quad}p+q=2n$
then read on!