指数Diophantine方程p^a+p^b-p^c=z^2

The Exponential Diophantine Equation p^a+p^b-p^c=z^2

设p是奇素数,给出了方程pa+pb-pc=z2,a≥b≥c的所有可使a为偶数的非负整数解(a,b,c,z).

In this paper, all nonnegative integer solutions （a, b, c,z） of the equation P^a＋p^b-P^c=z^2, a ≥b≥c≥0,2｜a are given under the condition that p be an odd prime.