Question 964055
{{{N(N+2)=7(N+N+2)-1}}}
{{{N^2+2N=14N+14-1}}}
{{{N^2+2N=14N+13}}}
{{{N^2-12N-13=0}}}
{{{(N+1))(N-13)=0}}}
Since we're only looking for the positive solution,
{{{N-13=0}}}
{{{N=13}}}
So the integers are 13 and 15.