On Pell Equation x~2-5(5n±2)y~2=-1(n≡-1(mod4))

2012 
This paper proves the sets of Pell equation x2-5(5n+2)y2=-1(n∈Z+,n≡1(mod4),5n+2 is prime factor)and Pell equation x2-5(5n-2)y2=-1(n∈Z+,n≡1(mod4),5n-2 is prime factor) have positive integer solutions.
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