Elementary treatment of pa pb + 1 = x2
Reese Scott
Abstract
We give a shorter simpler proof of a result of Szalay on the equation 2a + 2b + 1 = z2. We give an elementary proof of a result of Luca on the equation of the title for prime p > 2. The elementary treatment is made possible by a lemma which is also useful for other Diophantine equations.
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