A simple proof of the validity of Cornacchia's algorithm for solving the diophantine equation $x^2 + dy^2 = m$ is presented. Furthermore, the special case $d=1$ is solved completely.
"On the solution of $x^2 + dy^2 = m$." Proc. Japan Acad. Ser. A Math. Sci. 80 (5) 40 - 41, May 2004. https://doi.org/10.3792/pjaa.80.40