论文标题
在某些Lebesgue-Ramanujan-Nagell方程的解决方案上
On the solutions of certain Lebesgue-Ramanujan-Nagell equations
论文作者
论文摘要
我们完全求解了diophantine方程$ x^2+2+2^k11^\ ell19^m = y^n $在整数中$ x，y \ geq 1; 〜k，〜k，\ el，m \ geq 0〜 $和$ n \ geq 3 $ and $ n \ geq 3 $ with $ \ gcd（x，x，x，x，x，x，x，x，x $ $ 2 $ $ 2 $ $ 2 \ el $ 2 \ el $ nm nm nm nm nm nm nm nm nm nm.我们使用此结果以相同的方向恢复一些早期结果。
We completely solve the Diophantine equation $x^2+2^k11^\ell19^m=y^n$ in integers $x,y\geq 1;~ k,\ell, m\geq 0~$ and $n\geq 3$ with $\gcd(x,y)=1$, except the case $2\mid k, 2\nmid \ell m$ and $5\mid n$. We use this result to recover some earlier results in the same direction.
