Compressing the primes using simple addition?
$|A|=|B|=8,\space |A+B|=64$
I have spiced it up a little bit, numbers in each row are consecutive primes.
\begin{matrix} & 165523 & 165527 & 165533 & 165541 & 165551 & 165553 & 165559 & 165569 \\ \\ +1099560& 1265083 & 1265087 & 1265093 & 1265101 & 1265111 & 1265113 & 1265119 & 1265129 \\ +6067230& 6232753 & 6232757 & 6232763 & 6232771 & 6232781 & 6232783 & 6232789 & 6232799 \\ +16348200& 16513723 & 16513727 & 16513733 & 16513741 & 16513751 & 16513753 & 16513759 & 16513769 \\ +41967240& 42132763 & 42132767 & 42132773 & 42132781 & 42132791 & 42132793 & 42132799 & 42132809 \\ +56322420& 56487943 & 56487947 & 56487953 & 56487961 & 56487971 & 56487973 & 56487979 & 56487989 \\ +65835840& 66001363 & 66001367 & 66001373 & 66001381 & 66001391 & 66001393 & 66001399 & 66001409 \\ +92498820& 92664343 & 92664347 & 92664353 & 92664361 & 92664371 & 92664373 & 92664379 & 92664389 \\ +95634000& 95799523 & 95799527 & 95799533 & 95799541 & 95799551 & 95799553 & 95799559 & 95799569 \end{matrix}