I have a lot of equipment. All running for searches about these puzzles.
To have fun, I chose to search via vanity in last days.
I have desktops and notebooks with latest and powerful intel chips, nvidia graphics, 120GB DDR5 etc. each. On vanity, these setups find ~20 addresses per day for each.
However, when I applied vanity via apple silicone chips (M1, M2, M3), daily found vanity addresses ~500 per each setup.
I observed the behavior, and when it finds a vanity address in the pool I search, immediately it finds 5-6 addresses more in milliseconds, it is moving to the numbers to check that might have the vanity around some near numbers while I'm generating those numbers using "random".
For example:
1MVDYUvrcMqdprCTYuthuaQxWWAL8Ty2KS 220647290646478288674
1MVDYE2EHY3VR3AXKrD7mYvpSgD2SGgqZb 257335783054352585279
1MVDYuE5HGPjYaEH72sZukwNXhdtdKSQRY 280101386265359359876
1MVDYNcMjPsAW1PQgjwCGRNwijJMSW1UcR 274962343828436157207
1MVDYGms9qGRsrDD7AuoyYJBZnJTzAj9B8 213173989571665196391
1MVDYnfq7s3yG8fdnhQ66cqDa4h2DNoGeB 247904416465366500764
1MVDYY8GUU8or4WfLSrsbHip8F7pwA4xpv 243282287509672730681
1MVDYxMNG8fKf9fvX3r5PmwNXY8tjfESsu 245042251007899478320
1MVDY8aYEQsCWqU2MVWRjhrLHaX28SHFky 270190501490895327846
These are found in the same second and it keeps this behavior.
This behavior made me crazy guys. I do not understand how it can do this.
There are already plenty of people using the same trick or method to find private keys within a similar range, as I mentioned. It's not surprising or new information to most of us. Developers have known for a while that there are tens of thousands of addresses like this clustered in the same range. You spent time, energy, and resources on this approach, but it may not be as productive as you hoped. My intention is not to stop you but to educate you.
Thank you. I thought the same in the beginning. However check the range for the addresses I shared, it is not a small range to cluster. That's why I could not understand how. I mean system should cluster some portion of different ranges in the defined range, if so, this is amazing, because it can give a chance to solve small puzzles like in #67 or #68 (extremely low probability but still good) to any personal computer with silicone chips.
If you check the probability of finding the exact same address, it might take 100 or even 1,000 years using random numbers. But if you think you're lucky enough, you might find it today itself!