Your page headed “Moon Phases” includes this:

Most people aren’t concerned with counting lunar cycles except for curiosity. However, knowing how many such cycles have passed during a given time can be important in scientific discussions about the moon’s orbit and in properly rendering religious calendars. To convert the Brown lunation number below to the Meeus number, substract 953. To obtain the Goldstine number, add 37,105. For the Islamic number, add 17,038. And for the Hebrew number, add 71,234.

The wording here suggests that 37,105 is the difference between the Goldstine number and the Brown number. But that is not correct! It’s the difference between the Goldstine number and the Meeus number.

Kind regards

Brian Gould