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    Author Topic: A new era of searching for existing Bitcoin addresses or a little discovery.  (Read 298 times)
    hmbcehch (OP)
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    March 18, 2025, 10:40:22 PM
    Merited by NotFuzzyWarm (1)
     #1

    Hello everyone. I’ve been reading forum for a long time, but this is the first time I’m writing an article, because I have something to write about.

    Everyone probably knows how many different “software” for allegedly searching for forgotten Bitcoin addresses are trying to sell through different channels. Some people believe, some guess to find sources on GitHub, some know at least a little theory.

    By the way, a little theory, for those who do not know, I will describe it in brief.

    Bitcoin addresses based on Base58 (this kind of “1PnVcifB9EBwbaAauprqcucPgfUnrRLtWg”) are generated on the basis of a random 256-bit value. Someone will now talk about cid phrases and so on, but no, a cid phrase is essentially a shortened 256 bit number. (those who know the mat part do not swear, all I understand perfectly well, just trying to explain in a simple way). In general, a random 256-bit number turns into a 64-bit number, it turns into a private key, and a public key is created on the basis of the private key by caching.

    And all these “miracle scripts and programs” are engaged in the fact that they generate a random number, create on the basis of it private and public keys, and in theory, you may be lucky and accidentally generate a wallet that already exists, and even with a balance.

    It sounds fascinating, but there are more combinations of this number than there are atoms in the universe. Even on some forum found an interesting article, where the man calculated how much energy goes to generate one number, and how much energy is needed to generate all possible combinations. So you need a year’s energy, the sun is a hundred times more powerful than ours. This is just so you understand a little bit of the scale, even when we create a super quantum computer, it still needs to feed millions of suns, so that it has enough energy to create all the combinations.

    But of course, no one rules out luck. Everything can be. No one talks about the other problem, even the software that will generate a million addresses per minute (there is such a software for sale and free on GitHub) is essentially useless junk, because generation is one thing, but checking for balance is quite another. Even software for 500$, stupidly uses open Api and proxies) At the moment, there is simply no way, even paid, to check millions of addresses in the stream for balance. Why would anyone give such computational operations for free. You can of course deploy your own node, create your own database based on it, put it all on a server, use terrabytes of blockchain data, but something tells me that a person who can afford it will have no interest in looking for forgotten wallets.

    In general, I described in simple language why you should not rely even on paid software. I myself am a programmer and system administrator, and earlier I knew all this, so I always smiled when I saw in TikTok another advertisement of such a mega product, where people quietly find wallets with a balance of 400 dollars and get high. Although here and divorce is not called, “you realize that purely depends on luck”.

    But just a month ago, something made me change my opinion about mining these wallets. The thing is that with the development of neural nets, people have noticed that no no, and money from old wallets disappear I checked this information and was convinced of it. So some way still exists, and neural networks can help to find this way. I don’t know how, but this topic fascinated me, and it gave its results.

    By long and roughly raping Gemini (which is very reluctant to talk about vulnerabilities), after reading a lot of forums and even scientific articles, a curious detail was revealed. Yes, the variants of 256 bits are huge. But here again it all comes down to the human factor. At the dawn of bitcoin development, and especially when it began to boom, there was a huge number of different services and sites for quick creation of wallets. There was the darknet and so on. Different bitcoin mixers, mining farms, you can list endlessly. So, the scripts that allow people to create such wallets were made by hand, and using free libraries like Random for Python and so on. (nowadays advanced libraries are mostly used for generation) So, as it turned out, no, but these libraries were faulty. Either the processor glitched somewhere or something else, and they started generating not just random numbers, but with regularities, what kind of regularities?

    I can only give an example on a piece of eight bits. Suppose a number “00011000” was generated, then a glitch and “00110000”, “0110000”, “11000000”. That is, the same number could be generated, but let’s say with a shift to the left. Or a 256-bit number could be generated, where the first 200 bits are equal to zero, and the rest randomly. And so on. Thus could be created thousands and hundreds of thousands of wallets, which difference in 256 bit number, could be only one value.

    And I came up with the idea, why generate a completely random number, if you can try to generate only parts of this number, where the other parts will be fixed. After all, it is much more likely that someone somewhere used this pool because of buggy libraries than pointing a finger in the sky. Thus was born the first version of the program called “Pidor1.0” (this name until something is found).

    I divided a 256 bit number into cells of 8 bits each, into which you can write your values, you can fix them to remain unchanged, and so on. And what was my when after only 10 minutes of working with the program, I found real addresses that made transactions (unfortunately they had a zero balance). All prufs, and piles of addresses with private keys will be posted at the end of the article, you can safely go into them and see everything with your own eyes. Bye-bye, in total, I found about a thousand wallets for a week of tests (tests, not continuous generation). Unfortunately all of them have zero balances so far, but some of them had decent amounts of money flowing through them, and the last transactions were this year.

    And then it started, different versions of “Pidora” appeared, here for example I made it possible to fix all 256 bits

    But the real dancing with tambourines began when I realized that it was necessary to somehow check the balance of millions of generated wallets. And to look for naturally free methods. And by means of long nights, I came to the point that I refused to check the balance via the Internet at all. How? By parsing absolutely all addresses, through which at least one transaction was made. In the end came out txt file not much more than 50gb and one and a half billion lines. However, since I left only Bip58 format keys in it, it turned out to be 20gb in weight and 800 million lines.

    But it is very stressful for the system and time-consuming to get into the txt file every time and check if the bitcoin address generated by us exists in it. Therefore, on the basis of this file had to create a database file based on Sql Lite. Which turned out to weigh almost 60 gb. What about the speed you ask? On Intel(R) Core(TM) Core(TM) i5–8350U CPU @ 1.70GHz generation and instant check — a million per second. I haven’t tested on more serious hardware yet.

    I think you get the principle, don’t you? Why check the balance, if you can just check whether such a wallet already exists, and whether there were transactions on it.

    In general, I have given you food for thought. So far, this is just the beginning, but I am already happy that I have done the impossible, because ask any neuron if it is possible to generate an existing address, and see what it will tell you. And here it is not just an address, but hundreds of them.

    I’m not selling the software

    Public address:

    1ADtEbG5UAnrqSTz8CssEPXFLYTM6mfCiA
    1CSPhHszH4S4Hhrrx8ZdmJWC3GLTpuhsur
    1LagHJk2FyCV2VzrNHVqg3gYG4TSYwDV4m
    179NZfVhPXssS42hs2o9ANABMcReQiovym
    1C77qaBvJ2mGAb9QmcuBHrD6sbYy9V8Rc7
    1Mv7xTXisEUQZ4aeQmDmmYKqLVw3PoNGA1
    1HxpsY48MpH4kvi2H23vDwdaBSa2paSipX
    137DbqLHaL32CLg91FYStaGi99y3H5xHNS
    1LvbRi7aCjENKCzDMTsaoZ8sKsg1B9CqLQ
    132vDcKDe96wL2GLLznueKnGVP4RnAX5xH
    134hoUfpzKWFqLMgrELRnERQemU3FAiY3v
    1LNLqCerQQ6j9iKs39VP6vNJHSpzNrFKJj
    182WMwUZYz4vksjnhzU6GpCtKW3g3HKwhb
    1P1Dur122Pzey73fFyUgfSbcxDdedSSm4z
    1EoXPE6MzT4EnHvk2Ldj64M2ks2EAcZyH4
    1Pt8N7xSic1oEKE8pPDEJ96KcnVFU69HRp
    1GgD7fHa8ZRczoMQagVzYc73ioTvoe3sZu
    1GTy3GAexCP74XVouxc7ZUP9s2qheQVDDz
    18XrReT5ChW8qgXecNgKTU5T6MrMMLnV8H
    1Cyr9LQ7F3PZNjiJCcafLLh6F1RDireoCn
    1LWWyaRPtU7PHHEN67Zh8qhmZyAoaRubcw
    15CHsSNH3SmEfoc2mau11z7inZiUZvRfyr
    18CW9Zv8rC8UcLSMHJGZSJ2uTHcqBEoa7D
    1EtppGCHU29KoJAwwU5sLdmeMim7GzBb5z
    1FB8cZijTpRQp3HX8AEkNuQJBqApqfTcX7
    19WcSz4FxGH7CRqChvXaFW42UHnbQBicky
    1EYQRFJ1z1WzhPs17sZPzYnWxoYXUs8cKj
    1EWCz4DrTShf9vFThywg2WfDyrdV4Wy2SN
    1Q4rfQLQF9yKN2Ay2NNBwLNPSy4sDbwNnd
    1Px5Kp4aZgPmVxJV9sWgLj6dEWcFMec9Fo
    1GDWJm5dPj6JTxF68WEVhicAS4gS3pvjo7
    1KmobiUwSFcKyDX2z1Ss2TVL5yLq2BnxrS
    1AS5u8iJsUFjQ3KmjkF5saBrHMLWdQMSpY
    13zGBax475zUoLFatjye7Rp48vPrtiaeqs
    1BoH6QH9n2pftQYRU5kganogxaNtTCo5cJ
    1LtUqEjvsTh4B5GtDmBV8upuRD6QcRTeCx
    1MsUtV4HwbEX6pnPa1cAfzJTn7oNufW5p4
    1KWj99Jwd9LGGC2Y1c9c4cmvWvYTQrLFVc
    1PnVcifB9EBwbaAauprqcucPgfUnrRLtWg
    19vxtDbLMNasSpbAEZd7va5Qge6d2zYWbp
    1Jhh65j6YvN3p4gE2zxcS4MkYkwcTpcCAE
    1BBwZVdBjoPxotHfrKLpHJBSy7vmc2pjex
    1E1NUNmYw1G5c3FKNPd435QmDvuNG3auYk
    1Cw4iTCkanJFZhLAQh3hBzD22QdBMrkPND
    1NcyZoVby5LbHXNVedcQpwtYj5TMGqGQzZ
    1MqWUyivo9sj323sirtbxZ1S23vPA36FDK
    17RjnQF8VWkcqyAHvY1QA1jNyx1xPVnB5d
    1HGn3jxoSh8twi4mR3iaNmZr6pbHgjFJEg
    18JVE1MSS7a2NEhtHJkxhwgvT4hLQYBw3w
    1KeF7jzYkq8FdSnKwYLBEc3uJH7fwaxE8S
    1JMcEcKXQ7xA7JLAMPsBmHz68bzugYtdrv
    1FHcYth4LRJMwNx2y8NR5DH7sYCiVzXs3Y
    1KgVr2GExouGLAeAt79KwxykCck4k9Cexk
    16Uhv71wNqMeaTW6YZQ8L3SaeVuomoD3dX
    1Akt9SAP6Vvq1BfNcNWwvANgqXkNmZ2uz7
    1MnyqgrXCmcWJHBYEsAWf7oMyqJAS81eC
    1MNagJqYUsWBD47QbsebCT2Lt7GwZtjkg
    1DBnH9vswDSbojbw3zeNUQBmmL494cyW8W
    16NUWSmWh7K6e885kybvaDdBoFQPZeDUpy
    1CKAkV2EVrPFF8oqKvCPGLvBVJ63wpChmD
    1B7nMKLwh76G84u1xvk4CnhPK5YcPr2jvT
    1AdaHxALc5jknZVmNtcduvkD33WBv3sX6i
    14FEwXgmVL37WvqVAucoijV1piKyzSCxzc
    1B8EsE44dqKSbVdqgnd9aTQex7r4G6Bw1P
    1P4C2RHfYZjU2Eca3mAwcHFwnYHcM4PxLn
    1EcDD3QLhSg9zmPnExs5etYaXP5o4yT8xM
    1L2YxutDBfZ33e4mM7gxoDo7t8rj9UxB8z
    1NsXxb6oeKhp5kw3vUm5aRxmfL2GeBX6f
    1LWsLyY2j2mPtYcG9yG2bDFwTWryiJL6sp
    1NZUP3JAc9JkmbvmoTv7nVgZGtyJjirKV1
    1BfGgoPFwehgJxZKHnvm3ytCNv5ApD7vTu
    1EEp8e3dhdGc8MARVh9zPYqFGBdyGX6hxc
    1LPLZnAzj34AgehA56DvDahuyxinZgeM3e
    1B5edeYL7WEmhkKP3FEkURjB9ZXVrc3FCQ
    1LYxTHbQLwmeTFa2dpYUFWwYZqoeJwAQmt
    17zHuCFs5WNBkFfH38RDN8NDCUZv34aUwE
    1CijKR7rDvJJBJfSPyUYrWC8kAsQLy2B2e
    1BYbgHpSKQCtMrQfwN6b6n5S718EJkEJ41
    13xG3mC4TXUn8cRgqJG5eG9TDw4fFcztfE
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    1Q2ndXEiSc1yevvPzEfQ4wuwKEhyyE1Nsj
    189mvaHbMhvah3JYYPk9TVZTBp4bDyZWxm
    1Gggh1qxKS7qSZJ8u3gKNqnSvHXQhQDyo2
    1L6qp71nqFbTTFTQYGQeLg94AkaeYJW1J
    1DerC5SzMPgBN4o6yaxcRZ7TMBCDus6nLT
    1HKvprhpBuuL5sbY6wkmgKcM97ggEG14Ab
    19JJNLkZkaV9Z6SpxUbPuJ7X6hBsgsQ8K6
    163bgHt747rfMKf7tM6XEoCzhKbvrYgZ6N
    16RwUYX9uRx3AttTa8zY6JvauPYSgLDoSy
    1LwjY8QPCW46jXn79eeN5SfZDsYNB9qDj1
    18wkBZj5sTSUPT9Vvw66eb99ZvBA7STvBg
    1MAieZnEeibHBCnSitY7ujKs4Gfi2RuZDy
    1GgWkqiKTYgZmWbx824AfKrHBLKHn71NL7
    145TcwDemMhjNiSAMxA5q14HTRuvNJFRx4
    17SNLYKhp1sacBNRQRJyfmh1ZLHdFYwhNC
    1BHQRSk1X4ERn3UAMcsSgJzCkvw2wvE5CC
    13TQKnr3psXk7Zw9xi6hsrJcdqKRLidhux
    1BiXAVzed7Ue5kG2ehnsWcfqQjdMcY2hqu
    1FaFkutPqwakXYwS4umygTAa7ozUkKfxSp
    1QCoHemDLMTaSJb7heXUHLsu6YPyu5iDEv
    1DCYmXCRYXSPxsSFTRuveKRfqiCFmwNFbW
    1GqHRfbwAtWc6zN4TL5xC5yNRwAXunfhUJ
    15FPq6oDDn2sjtMZfnMn2QhvR7XeEMDYQS
    1BRBsf9HojfnZRMRADLUra6HsDqzZo8LqN
    13ogqrMb6hJK1tuD6xhiVzGepr3sWLUQJD
    1LxiFMHGc7PJv3ZnF9jJcpA2cr9CzsZ6xp
    1F83LVL8YKm4ugbNt2ePFVmsyoiHrx4NF7
    1NwhxtuUW2dg7RPkaypDpLW9JS2dqfEzNb
    1KFLggHezq3kiAtpaKMeQPcnoWsXuZHRyn
    1BLXTrgdmZfjk26ULK5FzdY9hHYcT9vGkY
    16g79Dj7FiAZ964LxqcoBFNjFbL6kJoisX
    1EHNa6Q4Jz2uvNExL497mE43ikXhwF6kZm
    1Pnd4E94wguWsTWw8iGhyjdJ4FHUouTu7K
    19HkpLyo2WQJ3SiCmFANVuoQvg4UAX43uG
    1NokMRjkCGBmy8F3JRdX5XHyXqY8Yxvd4i
    19tbjBguyRGMSq9EVSNhrCA23ZUx4Cgx23
    1MNViv4dYbLkxH5UyiVxs9AZqYbPBwz995
    1BAjqraowRUrDXbruNShnQ32Fwiy5m5M5v
    18zQpC5g54xA6mWeLi8cucQjykHVNoeSJH
    1QAALUJNskZWEbvwKXoTteowgs9xGGeAZR
    1BsyFuJSKj58dmWXSt2EeE5PAp2EmyYwnJ
    1PcTuSTm1UGK58YiuDir58ED7KnrNMUjpr
    1PffYARJERxj2Y3wUpLY8LJ9hcRRRCkB5Z
    17fGEEDHbspV7xAxpjhsFFK4tkgfvonyEE
    1PFwKya5dQFrxE9XZ9LV24ASaq5v58WLEe
    1GYFF26ZNohcFXNPPgrcovQH2XPvG38y7h
    1HHKanEL28o5Nrui8byqTNwFtWpdVEPzw5
    1FaxsybmpvrX4yDCt1R9mu2oGHpdpLzbkb
    1GZnahwoL6K91sdzNEg1vxZ5LJogFSu1b
    14cqgYHNZ4c9EVxb3CtEZH1CLmvgUfKnzP
    1N6XDASWPttVf1yNCbZYgyE8trkM2k9RH7
    1JZC74Q76Ms8TSvB7H7Dc93SNRzRzNmYFc
    14sNbmEhgiGX6BZe9Q5PCgTQT3576mniZt
    1GX2tP5ds3LyFypjD1wnKapvwV1mgZos3G
    157RMZhbBLC1wucv3jxQqqHjbKezL1yy7g
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    1Q9DQUn6aeWKEQFDVYSMNBjCcLYaQnRccB
    1Baf2cr6Sh1va2mEjPnNMxeFtQ2p3u5bNe

    Private keys:

    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreEhfUb47
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreFjUrh8k
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreBKdE2NK
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreDmLg88w
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreDSDY8dy
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreL2F4Gjy
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreDQbAmx9
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreCXbRta3
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreLp8VN4c
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreJQmdp3Y
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreCpWSv5Y
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreP9WciJJ
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreRMTfq7A
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreDwUb9yY
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreJ58DM42
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreLwB7DbW
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreMVM6PNC
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreJZrCr3e
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreMrbQN7V
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreRBLscCA
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreAvUcVfH
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreQTdvJta
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreDEUj22G
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreNdjkc6L
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreCMUnXUo
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreQM87c2m
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreJFuEycp
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsrePWp5Mt9
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreQbpfitE
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreNxQWW7Y
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreEa9SGDP
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreBR6zCMU
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreJxh5nsg
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsrePTVqv3S
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreGwFNuPr
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreaXSbUeR
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreFMSs18A
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreBbMaQX1
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreG7q5WCf
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreCh1de82
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    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreEnwTmuW
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreJf8B1SD
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreMuv36HW
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreNkcfT1c
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreB4AD8Yi
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreLAxEBPw
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreFeCCsFW
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreKUmwqXK
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreBoNWTw6
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreHHanpkZ
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreHZ7dG6X
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreZYXNHaP
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreDan2uta
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreQ8Arh4e
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreNNCT2yY
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreHdeJUVG
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    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreMEFkFWC
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreGhAGxmP
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreLKXuCN4
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreC4p2u5o
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreNXqEJTk
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreEttVnpm
    5HpHagT65TZzG1PH3CSu63k8DbpvD8s5ip4nEB3kEsreQuyVxqv

    Someone will now talk about cid phrases and so on, but no, a cid phrase is essentially a shortened 256 bit number. (those who know the math part do not swear, I understand everything perfectly well, I just try to explain in a simple way). In general, a random 256-bit number turns into a 64-bit number, it turns into a private key, and a public key is created on the basis of the private key by caching.

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