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The Diophantine Equation \(x^2+5^a7^b11^c19^d=4y^n\)

  • Nguyen Xuan Tho

摘要

We completely solve the Diophantine equation \(x^2+5^a7^b 11^c 19^d=4y^n\) under the condition \(n\ge 3\) , \(x,\,y>0\) , and \(\gcd (x,\,y)=1\) .