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Topic: Bitcoin puzzle transaction ~32 BTC prize to who solves it - page 25. (Read 245728 times)

member
Activity: 239
Merit: 53
New ideas will be criticized and then admired.
OMG! This is a complete battlefield.

First, I don't believe Alberto is involved in any wrongdoing. Such insinuations are disproportionate and should be dismissed.

Second, RetiredCoder has shown to be one step ahead. It's not surprising that he has solved challenges of 120, 125, and 130. If he sets his mind to it, he could tackle 135 and 140 as well. Anyone with enough money and the correct mathematical skills could do it. Unfortunately, despite seemingly being wealthy, he keeps the money for himself. If I were him and didn't need the money, I'd donate it to people who advance exploration in these fields and contribute selflessly. I dare say most of them live modestly. After all, history has shown that we live in a better world thanks to the exchange of knowledge. If everyone kept knowledge to themselves, we'd still be living in caves. However, it's his money, and I'm not in a position to tell him what to do with it. The downside is that this discourages general interest, as anyone with a faster method won't share it, knowing a wealthy person might exploit it to get richer.

So, credit where it's due. Peace and love. Wink
newbie
Activity: 68
Merit: 0
Quote

It's faster (and guaranteed success) to simply scan the entire range, than chasing wild gooses with an axe, under the wrong assumption that you can't find two similar RIPEMD hashes in a limited subinterval, or that hashes are equally distributed. Hashes are designed to be indistinguishable from noise, so you might as well have two private keys next to each other (or not) that end up being the same address, or very similar, just as well as you might have two totally (or not) different public keys ending up as the same address. You can't know.

I'm not saying it can't be done, but do you think you are the first one who tried this? Have you sorted out the actual numbers (the answer to your question) since the answer doesn't need to be an opinion, as it can be easily calculated in advance? Even for #67 you'll quickly run into problems with keeping track of the subranges of the subranges of the subranges of the sub-sub-sub-ranges you've scanned, because every time you add an extra byte to match, you have to split all your ranges in half (or rather in 256) and go through each of those, since you probably assume the range should be covered uniformly. Here's the problem: the address you search for may be located anywhere, not where you think it may be located.

We have a proverb.

Every brave man eats yogurt differently.

Now, let him study math.
If the math operation works, if I have proven it. (To myself)

In this competition, you are either a software developer or someone interested in math. I am not a software developer, but didn't they prove to you at school that everything is possible mathematically? Or do they teach you how to hunt geese with an axe in your place?

May the best win this competition.
newbie
Activity: 19
Merit: 0

Meanwhile, 3Emi...YESs probably already spinning up his ASICs for 135.

Everybody can see that the same person has solved three puzzles in a row, but still there are people who think that they can solve #135 faster.
Well, good luck  Grin


Do you know why people don’t respect you? It’s not because they’re jealous that you solved puzzles 120, 125, and 130 or made millions from it. It’s because when everyone thought the creator had removed these puzzles, and there was so much confusion about who solved them, you stayed silent. You let the creator take the criticism and allowed people to doubt him, despite the fact that he invested 1000 BTC into creating these challenges. Instead of clearing the air, you chose to stay quiet and watch the drama unfold.
member
Activity: 165
Merit: 26
1BY8GQbnueY how many do you think are in our 67 bit range?
1BY8GQbnue how many do you think are in our 67 bit range?

I found the answers to these in part.

So I confirmed these with hardware that was not too high, but my range is still far but not as far as space. Smiley

It's faster (and guaranteed success) to simply scan the entire range, than chasing wild gooses with an axe, under the wrong assumption that you can't find two similar RIPEMD hashes in a limited subinterval, or that hashes are equally distributed. Hashes are designed to be indistinguishable from noise, so you might as well have two private keys next to each other (or not) that end up being the same address, or very similar, just as well as you might have two totally (or not) different public keys ending up as the same address. You can't know.

I'm not saying it can't be done, but do you think you are the first one who tried this? Have you sorted out the actual numbers (the answer to your question) since the answer doesn't need to be an opinion, as it can be easily calculated in advance? Even for #67 you'll quickly run into problems with keeping track of the subranges of the subranges of the subranges of the sub-sub-sub-ranges you've scanned, because every time you add an extra byte to match, you have to split all your ranges in half (or rather in 256) and go through each of those, since you probably assume the range should be covered uniformly. Here's the problem: the address you search for may be located anywhere, not where you think it may be located.
newbie
Activity: 68
Merit: 0
Quote

lets make me clear, did you mean after your script found prefix 1BY8GQbnueY then automatically jump to the next prefix 1BY8GQbnueY?

A similar example.

1BY8GQbnueY how many do you think are in our 67 bit range?
1BY8GQbnue how many do you think are in our 67 bit range?

I found the answers to these in part.

So I confirmed these with hardware that was not too high, but my range is still far but not as far as space. Smiley
newbie
Activity: 19
Merit: 0
The reason he’s so focused on supporting RetiredCoder is that he knows RetiredCoder holds more than a million dollars in crypto. By constantly praising him in every thread and supporting him in every possible way, saying things like "Congratulations" or "Thank you," he’s trying to gain RetiredCoder’s trust and, eventually, his investments.

More and more stupid messages here. Two things are infinite: the universe and human stupidity.


Thank God at least you have brains.
newbie
Activity: 19
Merit: 0
Quote

What?? What kind of idea is that? Seems that you don't have idea how it works, yes you mention it as an example but it sounds like lets take an apple and a pineapple, combine them to get an pear.



Hmm, there is something else that comes to mind. Why are you defending the creator so much? Maybe you have something to hide too.



He isn’t supporting the creator but rather the puzzle solver of 120, 125, and 130, and I’ll explain why. If you check the thread below, it seems like he started something resembling a Ponzi scheme — I am not saying this is a Ponzi scheme but you can decide for yourself if you trust in him and can make investments if you like . It’s a setup where people can invest crypto and supposedly get returns. His goal is likely to have RetiredCoder be a part of it, targeting not only wealthy individuals but also smaller investors like us who would probably avoid such schemes.

https://bitcointalksearch.org/topic/m.64741834

The reason he’s so focused on supporting RetiredCoder is that he knows RetiredCoder holds more than a million dollars in crypto. By constantly praising him in every thread and supporting him in every possible way, saying things like "Congratulations" or "Thank you," he’s trying to gain RetiredCoder’s trust and, eventually, his investments.
member
Activity: 503
Merit: 38
Fish can be captured with dynamite, and I've even witnessed someone attempting to shoot fish with a shotgun. However, the true art of fishing lies in the patience and skill of using a rod, no urgency, no haste, just focused precision in a state of complete calm. The same principle applies to solving complex Elliptic Curve Discrete Logarithm Problems (ECDLPs). There are no shortcuts in this realm. Advanced hardware and skilled developers come at a cost, and there are no ingenious tricks or mystical solutions that can bypass that investment. Here, every dollar counts, and success demands both time and dedication as well as common sense.
newbie
Activity: 15
Merit: 0
Quote

Your idea sounds exceptional! What are you waiting for, someone to code it, too? Because we all know we can just mix up "Kangaroo software" with whatever else, and jump-scan the range like there is no tomorrow!

People confuse devs with magicians, as if anything is actually possible and we're supposed to make it happen. And when they hear it's not possible, we're the stupid ones, not their ideas. And also, the cost of breaking puzzle 160 at today's GPU hour-rates is around 1 billion dollars, so if anyone has money to burn, I don't know why it wasn't yet solved. There is no need for a new idea for it to be solved, because it can be solved today if someone really wants it to be solved. But they won't use magic, the math is already good enough, but people still think they can beat the correct math by using the wrong math. DM me if you really want your vanity kangaroo software if you don't have nothing to do with your money.


I guess I was misunderstood because I said it as an analogy for the idea.

I am scanning the 67th wallet with the VanitySearch System, and I scanned the 66th wallet before. I hadn't been scanning for a long time due to my work.

I came back because I discovered a few things. In fact, I only confirmed 2 things 100% among the discovered ones, I am working on the other discoveries.

While scanning with VanitySearch, I saw a common point between the wallets I found. I don't want to explain this right now. When everything is finished, I will share it with some people for further development.

In short, the process is as follows, when scanning in vanitysearch, it makes a few jumps when it reaches a certain wallet and continues scanning again, and when it reaches the next certain wallet, it jumps again and scans. The details are with me.

Good work and good luck to everyone.

lets make me clear, did you mean after your script found prefix 1BY8GQbnueY then automatically jump to the next prefix 1BY8GQbnueY?
newbie
Activity: 68
Merit: 0
Quote

Your idea sounds exceptional! What are you waiting for, someone to code it, too? Because we all know we can just mix up "Kangaroo software" with whatever else, and jump-scan the range like there is no tomorrow!

People confuse devs with magicians, as if anything is actually possible and we're supposed to make it happen. And when they hear it's not possible, we're the stupid ones, not their ideas. And also, the cost of breaking puzzle 160 at today's GPU hour-rates is around 1 billion dollars, so if anyone has money to burn, I don't know why it wasn't yet solved. There is no need for a new idea for it to be solved, because it can be solved today if someone really wants it to be solved. But they won't use magic, the math is already good enough, but people still think they can beat the correct math by using the wrong math. DM me if you really want your vanity kangaroo software if you don't have nothing to do with your money.


I guess I was misunderstood because I said it as an analogy for the idea.

I am scanning the 67th wallet with the VanitySearch System, and I scanned the 66th wallet before. I hadn't been scanning for a long time due to my work.

I came back because I discovered a few things. In fact, I only confirmed 2 things 100% among the discovered ones, I am working on the other discoveries.

While scanning with VanitySearch, I saw a common point between the wallets I found. I don't want to explain this right now. When everything is finished, I will share it with some people for further development.

In short, the process is as follows, when scanning in vanitysearch, it makes a few jumps when it reaches a certain wallet and continues scanning again, and when it reaches the next certain wallet, it jumps again and scans. The details are with me.

Good work and good luck to everyone.
full member
Activity: 706
Merit: 111
Code:
No. |=========PRIVATE KEY IN HEX (if it was found and known)========== |===========WALLET ADDRESS===========| ===============UPPER RANGE LIMIT================ | ===================COMPRESSED PUBLIC KEY IN HEX=================== | ==SOLVED DATE==
01  | 0000000000000000000000000000000000000000000000000000000000000001 | 1BgGZ9tcN4rm9KBzDn7KprQz87SZ26SAMH | 1                                                | 0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798 | 2015-01-15
02  | 0000000000000000000000000000000000000000000000000000000000000003 | 1CUNEBjYrCn2y1SdiUMohaKUi4wpP326Lb | 3                                                | 02f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9 | 2015-01-15
03  | 0000000000000000000000000000000000000000000000000000000000000007 | 19ZewH8Kk1PDbSNdJ97FP4EiCjTRaZMZQA | 7                                                | 025cbdf0646e5db4eaa398f365f2ea7a0e3d419b7e0330e39ce92bddedcac4f9bc | 2015-01-15
04  | 0000000000000000000000000000000000000000000000000000000000000008 | 1EhqbyUMvvs7BfL8goY6qcPbD6YKfPqb7e | 15                                               | 022f01e5e15cca351daff3843fb70f3c2f0a1bdd05e5af888a67784ef3e10a2a01 | 2015-01-15
05  | 0000000000000000000000000000000000000000000000000000000000000015 | 1E6NuFjCi27W5zoXg8TRdcSRq84zJeBW3k | 31                                               | 02352bbf4a4cdd12564f93fa332ce333301d9ad40271f8107181340aef25be59d5 | 2015-01-15
06  | 0000000000000000000000000000000000000000000000000000000000000031 | 1PitScNLyp2HCygzadCh7FveTnfmpPbfp8 | 63                                               | 03f2dac991cc4ce4b9ea44887e5c7c0bce58c80074ab9d4dbaeb28531b7739f530 | 2015-01-15
07  | 000000000000000000000000000000000000000000000000000000000000004C | 1McVt1vMtCC7yn5b9wgX1833yCcLXzueeC | 127                                              | 0296516a8f65774275278d0d7420a88df0ac44bd64c7bae07c3fe397c5b3300b23 | 2015-01-15
08  | 00000000000000000000000000000000000000000000000000000000000000E0 | 1M92tSqNmQLYw33fuBvjmeadirh1ysMBxK | 255                                              | 0308bc89c2f919ed158885c35600844d49890905c79b357322609c45706ce6b514 | 2015-01-15
09  | 00000000000000000000000000000000000000000000000000000000000001D3 | 1CQFwcjw1dwhtkVWBttNLDtqL7ivBonGPV | 511                                              | 0243601d61c836387485e9514ab5c8924dd2cfd466af34ac95002727e1659d60f7 | 2015-01-15
10  | 0000000000000000000000000000000000000000000000000000000000000202 | 1LeBZP5QCwwgXRtmVUvTVrraqPUokyLHqe | 1023                                             | 03a7a4c30291ac1db24b4ab00c442aa832f7794b5a0959bec6e8d7fee802289dcd | 2015-01-15
11  | 0000000000000000000000000000000000000000000000000000000000000483 | 1PgQVLmst3Z314JrQn5TNiys8Hc38TcXJu | 2047                                             | 038b05b0603abd75b0c57489e451f811e1afe54a8715045cdf4888333f3ebc6e8b | 2015-01-15
12  | 0000000000000000000000000000000000000000000000000000000000000A7B | 1DBaumZxUkM4qMQRt2LVWyFJq5kDtSZQot | 4095                                             | 038b00fcbfc1a203f44bf123fc7f4c91c10a85c8eae9187f9d22242b4600ce781c | 2015-01-15
13  | 0000000000000000000000000000000000000000000000000000000000001460 | 1Pie8JkxBT6MGPz9Nvi3fsPkr2D8q3GBc1 | 8191                                             | 03aadaaab1db8d5d450b511789c37e7cfeb0eb8b3e61a57a34166c5edc9a4b869d | 2015-01-15
14  | 0000000000000000000000000000000000000000000000000000000000002930 | 1ErZWg5cFCe4Vw5BzgfzB74VNLaXEiEkhk | 16383                                            | 03b4f1de58b8b41afe9fd4e5ffbdafaeab86c5db4769c15d6e6011ae7351e54759 | 2015-01-15
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23  | 0000000000000000000000000000000000000000000000000000000000556E52 | 1L2GM8eE7mJWLdo3HZS6su1832NX2txaac | 8388607                                          | 03f82710361b8b81bdedb16994f30c80db522450a93e8e87eeb07f7903cf28d04b | 2015-01-15
24  | 0000000000000000000000000000000000000000000000000000000000DC2A04 | 1rSnXMr63jdCuegJFuidJqWxUPV7AtUf7  | 16777215                                         | 036ea839d22847ee1dce3bfc5b11f6cf785b0682db58c35b63d1342eb221c3490c | 2015-01-15
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26  | 000000000000000000000000000000000000000000000000000000000340326E | 1JVnST957hGztonaWK6FougdtjxzHzRMMg | 67108863                                         | 024e4f50a2a3eccdb368988ae37cd4b611697b26b29696e42e06d71368b4f3840f | 2015-01-15
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30  | 000000000000000000000000000000000000000000000000000000003D94CD64 | 1LHtnpd8nU5VHEMkG2TMYYNUjjLc992bps | 1073741823                                       | 030d282cf2ff536d2c42f105d0b8588821a915dc3f9a05bd98bb23af67a2e92a5b | 2015-01-16
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33  | 00000000000000000000000000000000000000000000000000000001A96CA8D8 | 187swFMjz1G54ycVU56B7jZFHFTNVQFDiu | 8589934591                                       | 03a355aa5e2e09dd44bb46a4722e9336e9e3ee4ee4e7b7a0cf5785b283bf2ab579 | 2015-01-17
34  | 000000000000000000000000000000000000000000000000000000034A65911D | 1PWABE7oUahG2AFFQhhvViQovnCr4rEv7Q | 17179869183                                      | 033cdd9d6d97cbfe7c26f902faf6a435780fe652e159ec953650ec7b1004082790 | 2015-01-17
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37  | 0000000000000000000000000000000000000000000000000000001757756A93 | 14iXhn8bGajVWegZHJ18vJLHhntcpL4dex | 137438953471                                     | 027d2c03c3ef0aec70f2c7e1e75454a5dfdd0e1adea670c1b3a4643c48ad0f1255 | 2015-01-19
38  | 00000000000000000000000000000000000000000000000000000022382FACD0 | 1HBtApAFA9B2YZw3G2YKSMCtb3dVnjuNe2 | 274877906943                                     | 03c060e1e3771cbeccb38e119c2414702f3f5181a89652538851d2e3886bdd70c6 | 2015-01-21
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40  | 000000000000000000000000000000000000000000000000000000E9AE4933D6 | 1EeAxcprB2PpCnr34VfZdFrkUWuxyiNEFv | 1099511627775                                    | 03a2efa402fd5268400c77c20e574ba86409ededee7c4020e4b9f0edbee53de0d4 | 2015-01-30
41  | 00000000000000000000000000000000000000000000000000000153869ACC5B | 1L5sU9qvJeuwQUdt4y1eiLmquFxKjtHr3E | 2199023255551                                    | 03b357e68437da273dcf995a474a524439faad86fc9effc300183f714b0903468b | 2015-01-30
42  | 000000000000000000000000000000000000000000000000000002A221C58D8F | 1E32GPWgDyeyQac4aJxm9HVoLrrEYPnM4N | 4398046511103                                    | 03eec88385be9da803a0d6579798d977a5d0c7f80917dab49cb73c9e3927142cb6 | 2015-01-30
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member
Activity: 165
Merit: 26
You have to respect everyone's ideas and thoughts. You said the cost of your time is 500 million dollars.

But sometimes an idea or thought is worth more than 5 billion dollars.

Example;
An idea like the combination of VanitySearch and Kangaroo software!
Scan a certain range, then when you catch a clue (hidden by me), perform a jump and continue scanning, when you catch another clue (hidden by me), continue scanning again.

Your idea sounds exceptional! What are you waiting for, someone to code it, too? Because we all know we can just mix up "Kangaroo software" with whatever else, and jump-scan the range like there is no tomorrow!

People confuse devs with magicians, as if anything is actually possible and we're supposed to make it happen. And when they hear it's not possible, we're the stupid ones, not their ideas. And also, the cost of breaking puzzle 160 at today's GPU hour-rates is around 1 billion dollars, so if anyone has money to burn, I don't know why it wasn't yet solved. There is no need for a new idea for it to be solved, because it can be solved today if someone really wants it to be solved. But they won't use magic, the math is already good enough, but people still think they can beat the correct math by using the wrong math. DM me if you really want your vanity kangaroo software if you don't have nothing to do with your money.
newbie
Activity: 68
Merit: 0
Quote

You accuse him of being a lawyer, yet you behave here like an investigator and public prosecutor. Who are you besides being a newbie here? You are on the ignore list. Kiss

I wasn't asked for my ID information when I became a member? Were you asked? Smiley

I'm not a new person, I've been here for about 5 years but I'm not a chatty person who likes to talk in logical sections.

Now do you want to tell me? Who are you?
Wait, wait, or a lawyer? Or a software developer?

I'm not accusing anyone of anything. Stop acting like a gang.

Look brother, I'm Turkish, I don't beat around the bush. I'll tell you straight to your face. Who are you?
jr. member
Activity: 42
Merit: 0
Quote

Alberto has nothing to hide. His work and contributions are fully open-source, and anyone can freely inspect the code, methods, and results. This transparency is a fundamental part of his approach, allowing anyone interested to understand, critique, and even improve upon his work.

His dedication to transparency, even in the face of frequent criticism, speaks volumes about his integrity. It’s not about hiding something but about pushing forward with reasonable ideas that anyone can engage with, test, and verify.

Not all ideas can be considered, especially if they lack a solid mathematical or technical basis. In complex fields like this one, rigorous testing and validation are key.

BSGS relies on extensive precomputation and memory, while Kangaroo relies on random hops without storing sets of points, they can't be combined directly. Mixing them would mean losing the efficiency of both methods, as each relies on distinct principles that don't translate into a hybrid approach.

When responding to a post, please read and understand.

"Alberto, I know and follow your work. You have great ideas and work."

and

Why are you defending the creator so much? Maybe you have something to hide too.

I saw you saying ideas, sources etc. etc. bla bla like Alberto's lawyer.

Please read and understand. There is no mention of a subject related to you, Alberto is the person who should explain or write about it.

What you do is,

"Alberto has nothing to hide."

How do you know? Are you Alberto? How close are you? Can I get your proof on this?

This is my opinion too. Smiley

You accuse him of being a lawyer, yet you behave here like an investigator and public prosecutor. Who are you besides being a newbie here? You are on the ignore list. Kiss
newbie
Activity: 68
Merit: 0
Quote

Alberto has nothing to hide. His work and contributions are fully open-source, and anyone can freely inspect the code, methods, and results. This transparency is a fundamental part of his approach, allowing anyone interested to understand, critique, and even improve upon his work.

His dedication to transparency, even in the face of frequent criticism, speaks volumes about his integrity. It’s not about hiding something but about pushing forward with reasonable ideas that anyone can engage with, test, and verify.

Not all ideas can be considered, especially if they lack a solid mathematical or technical basis. In complex fields like this one, rigorous testing and validation are key.

BSGS relies on extensive precomputation and memory, while Kangaroo relies on random hops without storing sets of points, they can't be combined directly. Mixing them would mean losing the efficiency of both methods, as each relies on distinct principles that don't translate into a hybrid approach.

When responding to a post, please read and understand.

"Alberto, I know and follow your work. You have great ideas and work."

and

Why are you defending the creator so much? Maybe you have something to hide too.

I saw you saying ideas, sources etc. etc. bla bla like Alberto's lawyer.

Please read and understand. There is no mention of a subject related to you, Alberto is the person who should explain or write about it.

What you do is,

"Alberto has nothing to hide."

How do you know? Are you Alberto? How close are you? Can I get your proof on this?

This is my opinion too. Smiley
newbie
Activity: 44
Merit: 0
First of all congratulations . I agree with you that with math everything is possible. I am curious about puzzle 130 because I was trying to solve it with math , just answer yes/no/too far/close enough. The private key start with 0x3A8 and it was even number at the end ?

I think 03a8 is too far. My guess is in the range 0x32 to 0x36  Grin
newbie
Activity: 6
Merit: 0
The idea has always cost money. No one will reveal anything for nothing. Any craftsman can make a thing.
But not everyone can come up with something new.

OK, so basically the same old shit: "I don't have anything palpable, just some idea that everyone says it doesn't apply, but what do they know? I'll just throw some lateral blah blah instead of some actual statements with proofs, because hyped up emotions are better than logical thinking". Too tired of that non-sense.

Does math cost money? Does logic, theorems, proofs, cost money? All of those were always made free to everyone, for nothing in exchange except dying poor and oh, remaining in history books for all eternity. just look at the last 5000 years of human progress.

You know what costs money? Absolutely everything that you can't do by your own hands. That's almost literally why money exists in this world. Also, I changed my mind. Since you can't code, but I can, I would charge you around 500 million $ if you want your idea put in practice. Also, I can not guarantee your idea would actually work, since it's your idea, not mine. I am just charging for the wasted time on my side, you will also pay for all the equipment and resources and electricity needed to implement whatever you have in mind.

Not the other way around, because I don't care about your idea, but you seem to care about your idea being coded and "automated", if I am not mistaken.

Well). you know, what you can't do with your own hands costs money!.)
member
Activity: 348
Merit: 34
You all forget
Sensible math too only under simple math
Here is Q
You have 17 apple and 3 man
Divide them into 3 man as per share
1/9
1/3
1/2
Make sure no floating point in result
Correct Answer will guide you what sensible math could do inside your kangaroo programing
My Q were above, unfortunately no one take notice
Fyi
You need to add 1 into 17 to make 3 share as per asked above, where no floating points appear in result

Same your searched pubkey in kangaroo method is not enough for finding fast, because it's working in sqrt and cuderoot
So you need adjust with add or subtract with some steps for make it proper and quicker finding in big ranges, definitely for adjust pubkey , math will help you
jr. member
Activity: 42
Merit: 0
It's very interesting. As the price of BTC increases, the number of crazy suggestions in this topic also rises. There will be more and more pressure, and my ignore list will continue to grow.  Undecided
member
Activity: 503
Merit: 38
Maybe you have something to hide too.

Alberto has nothing to hide. His work and contributions are fully open-source, and anyone can freely inspect the code, methods, and results. This transparency is a fundamental part of his approach, allowing anyone interested to understand, critique, and even improve upon his work.

His dedication to transparency, even in the face of frequent criticism, speaks volumes about his integrity. It’s not about hiding something but about pushing forward with reasonable ideas that anyone can engage with, test, and verify.

Not all ideas can be considered, especially if they lack a solid mathematical or technical basis. In complex fields like this one, rigorous testing and validation are key.

BSGS relies on extensive precomputation and memory, while Kangaroo relies on random hops without storing sets of points, they can't be combined directly. Mixing them would mean losing the efficiency of both methods, as each relies on distinct principles that don't translate into a hybrid approach.
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