Article snapshot taken from Wikipedia with creative commons attribution-sharealike license.
Give it a read and then ask your questions in the chat.
We can research this topic together.
In LDE service the engines only sported names; no running numbers or classification was used. On being taken over by the Royal Saxon State Railways in 1876 they retained their names, as long as they were not duplicated elsewhere. In addition, they were given running numbers 584 to 603 and incorporated into Class K III. In 1885 the classification was changed to K II and in 1892 they were renumbered from 676 to 695. In 1896 the classification changed again simply to II and in 1900 the running numbers were increased by 2000 and the name boards removed. Because the older engines were no long fully operational, the numbering was no longer sequential.