The Diophantine Equation \(x^2+5^a7^b11^c19^d=4y^n\)
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 \(\gcd (x,\,y)=1\) .