I have created one Sales customer via tcode VD01 in ERP:

错误消息Number not in interval XXX when downloading

And I have defined a request in tcode R3AR2 to try to download it to CRM via request download:

错误消息Number not in interval XXX when downloading

After download is finished, I saw following error message in tcode SMW01:

错误消息Number not in interval XXX when downloading

Error message: Number not in interval XXX - XXX

错误消息Number not in interval XXX when downloading

Why middleware complains this very interval 0000300000 - 0000399999? Where does it come from?
When the customer is downloaded into ERP from CRM, the business partner will be created with a proper number. The number range is maintained based on mapped CRM partner group, in this example 0002:

错误消息Number not in interval XXX when downloading

Here you assign the number range setting to the mapped group 0002.
In my system, currently group 0002 is assigned with number range 07:

错误消息Number not in interval XXX when downloading

This explains why 0000300000 ~ 0000399999 is complained in error message.

错误消息Number not in interval XXX when downloading

After I reassign group 0002 with correct number range 03, the issue is resolved.

错误消息Number not in interval XXX when downloading

By the way, I learned the knowledge above by debugging this function module below:

错误消息Number not in interval XXX when downloading

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错误消息Number not in interval XXX when downloading

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