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Dec 1, 2015 at 7:06 comment added Turbo In example above we have $a=22,b=21$ represent $rs=19\cdot16$ and $tu=17\cdot 15$ but also representing $rt$ and $su$ so $a,b$ is a bad pair.
Dec 1, 2015 at 6:54 comment added Turbo Thank you for the time taken. The idea is simple. Lets say a linear form $ax+by$ represents $n$ if $ax+by=n$ for some $x,y\geq0$. Good pair $a,b$ essentially forms a linear form such that if $ax+by$ represents $rs$ and $tu$, it should not represent $rt,su$ and $ru,st$. That is all there is to it. I am looking for an infinite collection of good pair above a certain universal constant $n_0$.
Dec 1, 2015 at 6:33 history answered Aaron Meyerowitz CC BY-SA 3.0