This is a tricky question, but i think i have an answer for you...
If you compare the hex key:
0000000000000000000000000000000000000000000000000000000000000000
vs
0000000000000000000000000000000000000000000000000000000000000001
You will get the next Uncompressed WIF - Base58 keys:
5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreAbuatmU
5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreAnchuDf
As you can see the first chars are the same, so, if you want the first 35 chars to brute force the next 17 you could start from:
5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4
I have to say that not all the keys you get will be valid ones, and this is a terrible method to bruteforce the privatekeys, you should learn about softwares like brainflayer.