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5p−q=r+1,7p+qr=p+1\large 5p-q=r+1 , \qquad \dfrac{7p+q}{r}=p+1 5p−q=r+1,r7p+q=p+1
Let ppp, qqq and rrr be prime numbers satisfying the system of equations above. Find the maximum value of p+q+rp+q+rp+q+r.
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