Before asking the question, I want to mention that even US courts are interested in this:
Gavin Andresen's deposition (For those who don't know him: Andresen was the lead developer for a part of the bitcoin digital currency project ... Andresen discovered bitcoin in 2010 ... After joining the developers contributing to Bitcoin along with Satoshi Nakamoto, he went on to become lead developer of the client software for the bitcoin network.
https://en.wikipedia.org/wiki/Gavin_Andresen)
https://storage.courtlistener.com/recap/gov.uscourts.flsd.521536/gov.uscourts.flsd.521536.589.3.pdf (page 31)
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Question: Are you aware of any patterns within the blockchain that would reveal which blocks were mined by Satoshi?
Andresen: There is a very interesting blog post by Sergio, Sergio Demian Lerner, where he found some patterns that are plausible that might be associated with Satoshi's mined Bitcoins.
Question: This is the Patoshi research? I think he calls it the Patoshi research?
Andresen: Maybe. I'm not familiar with that.
Question: They call it the Patoshi --
Andresen: I'm not familiar with that term.
Question: Is it -- is it based on the Nonce value?
Andresen: Yes, it's based on the Nonce values. And I have -- I have no direct knowledge of that, but his research seems plausible to me.
Question: Okay.
Is there any reason you can think of that a miner would try to create a coinbase transaction that did not hash to within a specific range of values?Question: Do you understand the question?
Andresen: I'm not sure I understand the question.
Question: Okay. Strike the question.
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Sergio Demian Lerner's findings:
https://bitslog.com/2013/09/03/new-mystery-about-satoshi/Adding this quote, which is relatable;
The simplest explanation is usually the right one
My question: What is the simplest explanation for Satoshi's(= Patoshi's) nonce values, that can't be produced with the distributed original wallet software?