The Diophantine equation $x^2+3^a\cdot 5^b\cdot 7^c\cdot 19^d=4y^n$

We find all integer solutions to $x^2+3^a\cdot 5^b\cdot 7^c\cdot 19^d=4y^n$ under the condition $n\geq 3,\,a,b,c,d\geq 0$, $x,\,y＞0$, and $\gcd(x,\,y)=1$. Our proof uses a deep result about primitive divisors of Lucas sequences in combination with elementary number theory and computer search.