rename numerical files in sequential order WITH no original

[BMWBlack]

I want to take a RANDOM numerical file name such as "12587.txt" and then have the subsequent files in the folder renamed sequentially like:
12588.txt
12589.txt
12590.txt
12591.txt
12592.txt
12593.txt

What I only seem to be able to do (and don't want) is a rename but it comes out like:
12587 (1)
12587 (2)
12587 (3)
12587 (4)
12587 (5)
...any ideas?? Thx!!

[therube]

2:Name -> Remove
10:Numbering, Mode: Prefix Start: 12587