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May 16, 2024, 09:04:39 AM *
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1  Bitcoin / Development & Technical Discussion / Re: Pollard Rho Kangaroo Algorithm for 256 bits on: May 14, 2024, 01:35:36 PM
How do you set the range to search for the key? Also what is h and which y should we use in this line  "h = y  # Use the integer value of y" ?
2  Bitcoin / Development & Technical Discussion / Re: solve key 66 67 Puzzle how to avoid double spends the tx? on: May 03, 2024, 02:35:41 AM
All standard wallets generate 256 bit private keys. With algorithms like kangaroo, it takes only 2**128 operations to crack one of the 256 bit keys out there.
I have no idea how many hashes all the miners generate to this date but certainly it's less than 2**85. And mining is a global effort worth billions, can you find such a group of people to come together just to crack a single private key?
3  Bitcoin / Development & Technical Discussion / Re: Index Calculus Algorithm to find private key on: April 27, 2024, 03:02:31 AM
Can you show in practice what your code does with some small values?
4  Bitcoin / Development & Technical Discussion / Re: Pollard's kangaroo ECDLP solver on: April 19, 2024, 02:45:09 PM
When we restore searching from a saved work file, it only shows the first key in input file after the end range, so what happens to other keys we input for search?

And if we have a speed of 1000MK/s, it would divide by the number of keys right? meaning half the speed is used to search for the second key if we input 2 keys? If that is the case then the expected time should double if there is more than 1 key.
Thus having 4 keys to search for a 130 bit key could take up to 2**68 operations, correct?
5  Bitcoin / Development & Technical Discussion / Re: solve key 66 67 Puzzle how to avoid double spends the tx? on: April 18, 2024, 10:19:55 AM
Some words from satoshi himself while undercover.  Grin

There's simply no feasible way to withdraw the funds on lower end puzzles like #66. It will be snatched up by bots. Not maybe, but it's 100% guaranteed. There will be hundreds of withdrawal transactions with varying fees all battling each other. You will simply be left in the dust.

It's a fundamental flaw in this puzzle that was originally aimed to bring the community together and try to solve the puzzle. The puzzle creator did not think much about the puzzle, and this is proof of it.

The only way the original solver will get the funds of puzzle #66 is if they can prove to be in possession of the private keys directly to the puzzle creator. The puzzle creator then withdraws the funds at a 6BTC fee (they can afford it) to your address.
6  Bitcoin / Bitcoin Discussion / Re: == Bitcoin challenge transaction: ~1000 BTC total bounty to solvers! ==UPDATED== on: April 18, 2024, 10:08:59 AM
1 exakey per second means 1 and 18 zeros, a 4 GHz CPU could "count" up to a 11 digits number with no EC math involved, just pure counting per second. I would like to know how you can generate 4 exakey/s using keyhunt?
7  Bitcoin / Bitcoin Discussion / Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it on: April 17, 2024, 01:51:10 PM




Are we supposed to solve a 66 bit private key by looking at a gif and a picture? It more looks like a soccer ball than anything. What exactly is happening here, what should people do after looking at the image?
8  Bitcoin / Project Development / Re: Keyhunt - development requests - bug reports on: April 15, 2024, 12:46:54 PM
Do you even know what endomorphism is? There are a few 256 bit scalars and when you multiply your public key by them, the results will have the same y coordinates as your public key. So if you are using -e, you will end up with a 256 bit result.
9  Bitcoin / Development & Technical Discussion / Re: Open source tools to convert uncommon private keys on: April 15, 2024, 12:22:04 PM
You could use the Bitcoin address utility used by Casascius (Caldwell). Does not exist anywhere but you could use internet archives to download the source code.
10  Bitcoin / Development & Technical Discussion / Breakthrough in mathematics regarding prime numbers on: April 04, 2024, 12:00:06 AM
A new study shows that next prime can be predicted.

Quote

Huge breakthrough in prime number theory— study from City University of Hong demonstrates primes can be predicted
Revolutionary breakthrough in prime number theory: according to new study from City University of Hong, primes can be predicted. Credit: City University of Hong Kong

Both arithmetic aficionados and the mathematically challenged will be equally captivated by new research that upends hundreds of years of popular belief about prime numbers.


Contrary to what just about every mathematician on Earth will tell you, prime numbers can be predicted, according to researchers at City University of Hong Kong (CityUHK) and North Carolina State University, U.S.

The research team comprises Han-Lin Li, Shu-Cherng Fang, and Way Kuo. Fang is the Walter Clark Chair Professor of Industrial and Systems Engineering at North Carolina State University. Kuo is a Senior Fellow at the Hong Kong Institute for Advanced Study, CityU.

This is a genuinely revolutionary development in prime number theory, says Way Kuo, who is working on the project alongside researchers from the U.S. The team leader is Han-Lin Li, a Visiting Professor in the Department of Computer Science at CityUHK.

We have known for millennia that an infinite number of prime numbers, i.e., 2, 3, 5, 7, 11, etc., can be divided by themselves and the number 1 only. But until now, we have not been able to predict where the next prime will pop up in a sequence of numbers. In fact, mathematicians have generally agreed that prime numbers are like weeds: they seem just to shoot out randomly.

"But our team has devised a way to predict accurately and swiftly when prime numbers will appear," adds Kuo.

The technical aspects of the research are daunting for all but a handful of mathematicians worldwide. In a nutshell, the outcome of the team's research is a handy periodic table of primes, or the PTP, pointing the locations of prime numbers. The research is available as a working paper in the SSRN Electronic Journal


Source= https://phys.org/news/2024-04-breakthrough-prime-theory-primes.html
11  Bitcoin / Bitcoin Discussion / Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it on: March 31, 2024, 05:13:17 PM
Finally i found how to import wallets, but whats this error now... errors killing me haha



importdescriptors "[{\"desc\": \"wpkh(L5oLkpV3aqBjhki6LmvChTCV6odsp4SXM6FfU2Gppt5kFLaHLuZ9)#c9eja2dd\", \"timestamp\": 0}]"



[
  {
    "success": false,
    "error": {
      "code": -1,
      "message": "Rescan failed for descriptor with timestamp 0. There was an error reading a block from time 1711177032, which is after or within 7200 seconds of key creation, and could contain transactions pertaining to the desc. As a result, transactions and coins using this desc may not appear in the wallet. This error could be caused by pruning or data corruption (see bitcoind log for details) and could be dealt with by downloading and rescanning the relevant blocks (see -reindex option and rescanblockchain RPC)."
    }
  }
]

I believe Bitcoin core client refuses to import 1 and -1 keys, so you can't import those 2 keys.
12  Bitcoin / Development & Technical Discussion / Re: Pollard's kangaroo ECDLP solver on: March 31, 2024, 04:19:04 PM
Can someone show at least 2 DPs? I'd like to know more about them and to know what makes them useful in finding a collision.
13  Bitcoin / Bitcoin Discussion / Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it on: March 28, 2024, 02:16:45 PM

What do you see, when you have the public key ?
What do you see here?
3+2= 5, 3*2= 6, 6/3= 2, 2-3= 1, 3-2= -1.  Now we have public key of 1, 2, 3, 4, 5, 6. Add, divide, subtract and multiply, it all works the same whether you do it with public keys of the private keys, or you just do them directly with private keys.

In other words, if you have the public key of private key 89, then by having 1 up to 9 public keys saved, you could solve  the private key after subtracting G 80 times from 89, when you reach public key of 9 after 80 steps then you know the target's value. It works the same with multiplying, dividing etc.
14  Bitcoin / Development & Technical Discussion / Re: Privately check on: March 24, 2024, 10:29:05 PM
https://privatekeys.pw/calc

First go to the page above, paste 500 keys or less at a time then hit "priv --> addrc" for compressed, and "priv --> addru" for uncompressed, rinse and repeat. After that you could check other suggested tools to check for balance.

Please note that you should be offline while on that page, after you are done you should delete all cookies, site data etc, or better yet use a different browser then uninstall it after you are done.
15  Bitcoin / Development & Technical Discussion / Taming randomness, Talagrand wins the Abel prize on: March 23, 2024, 11:51:15 AM
This was announced yesterday and in time there will be more discoveries regarding the predictability of random processes.
Quote
A mathematician who developed formulas to make random processes more predictable and helped to solve an iconic model of complex phenomena has won the 2024 Abel Prize, one of the field’s most coveted awards. Michel Talagrand received the prize for his “contributions to probability theory and functional analysis, with outstanding applications in mathematical physics and statistics,” the Norwegian Academy of Science and Letters in Oslo announced on 20 March.

Assaf Naor, a mathematician at Princeton University in New Jersey, says it is difficult to overestimate the impact of Talagrand’s work. “There are papers posted maybe on a daily basis where the punchline is ‘now we use Talagrand’s inequalities’,” he says.


Quote
Thanks to Talagrand’s techniques, “many things that seem complicated and random turn out to be not so random,” says Naor. His estimates are extremely powerful, for example for studying problems such as optimizing the route of a delivery truck. Finding a perfect solution would require an exorbitant amount of computation, so computer scientists can instead calculate the lengths of a limited number of random candidate routes and then take the average — and Talagrand’s inequalities ensure that the result is close to optimal.


Source:   https://www.scientificamerican.com/article/mathematician-who-tamed-randomness-wins-abel-prize/
16  Bitcoin / Bitcoin Discussion / Re: == Bitcoin challenge transaction: ~1000 BTC total bounty to solvers! ==UPDATED== on: March 23, 2024, 11:33:27 AM
Could you share with us whatever you have done in those 3 years?  I mean this could be somewhat true that solving these puzzles could be addictive, but I'm curious to know what were you doing exactly? I just hope it wasn't sitting and watching the screen while brute force tools were running.  Knowing the ways you tried will definitely help others not to try them, you can at least do that.
17  Bitcoin / Development & Technical Discussion / Re: Pairs of matching n-values in secp256k1 with changed b-values on: March 21, 2024, 11:32:18 PM
If there is any 2 points on different curves mapping with each other then there will be no cryptography. imagine if you could identify only 1 point from one curve on another curve, then due to different n values you could solve any key. To understand this better you could divide any scalar mod n on 2 curves and compare the results.

After that you'll realize why it can break crypto systems if that ever happened.
18  Bitcoin / Bitcoin Discussion / Re: Btc address to decimal representation(256bit number) on: March 21, 2024, 12:23:56 AM
There are a bit less than 2**96 private keys resulting in this and any other valid address
19ZewH8Kk1PDbSNdJ97FP4EiCjTRaZMZQA
Which one would you like to have?  Not only in theory but practically you can find at least 1 match for any address after 2**80 operations which consist of private key to public key to SHA-256 to RIPEMD-160, Once you do that you can find the match. Any other way if you try,  will fail because you'd need to know the private key of a matching address.

Other ways as just trying to find hash 160 collision etc,  which would be useless if you don't have the private key.
19  Bitcoin / Development & Technical Discussion / Re: == Bitcoin challenge Puzzle : Seed bruteforce attemps on: March 19, 2024, 11:42:42 PM
Would it work if we place offsets of all puzzles converted to addresses?  That way even if 1 key is found then at least 1 puzzle could be solved.
20  Bitcoin / Bitcoin Discussion / Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it on: March 11, 2024, 08:33:45 PM
can anyone tell me if the puzzle 130 starts from 2 or 3 ?  since the range is 0x200000000000000000000000000000000 and 0x3ffffffffffffffffffffffffffffffff can anyone tell me if its private key starts from 2 or 3 ?
Try this to figure it out, multiply puzzle #130 by 4 then subtract the result from this key
Code:
0x0000000000000000000000000000001000000000000000000000000000000000
Public_key=
02e4f3fb0176af85d65ff99ff9198c36091f48e86503681e3e6686fd5053231e11
Then divide the result by 4 and subtract add the result to puzzle key, you should see
Code:
0x0000000000000000000000000000000400000000000000000000000000000000
Public_key=
037564539e85d56f8537d6619e1f5c5aa78d2a3de0889d1d4ee8dbcb5729b62026
The reason why that is happening  is because it starts with 3.
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