Pollard's kangaroo ECDLP solver - page 73.

fxsniper

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Activity: 406

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Quote from: MeBender on February 22, 2021, 03:55:39 AM

Yeah I gave up on that after an hour lol

Here's an interesting random fact about puzzle address #120, in one whole day a Tesla V100 GPU can search 0.00000001% of the keyspace using the pollard kangaroo software. That is equal to approx. 2^93..

How long need for puzzle #120 address?
I will try you method tonight with 8 hour for check result test

MeBender

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Activity: 114

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Quote from: NotATether on February 22, 2021, 02:53:58 AM

Quote from: MeBender on February 22, 2021, 12:43:01 AM

I dunno man, so far I've gathered about 20,000 pubkeys to addresses that still have over 6 btc on them. I'm going to run them in the pollard kangaroo program in the keyspace 1 - 2^69 ( ͡° ͜ʖ ͡°) and possibly will find a private key in the low bit range! But the chances that anyone is legitimately using a private key in a keyspace less than 2^128 is pretty slim..

If you still want to go along with this then I suggest not letting it run for more than a day, because you're looking for private keys with 59 leading zero bits in them. Chances are if these addresses have a seed phrase associated with them, neither it's master private key or any of its child keys were derived in a way such that there are several zero bits at the beginning.

Maybe use a random prefix that has a mixture of 1s and 0s which is more likely to hit than all zeros.

Yeah I gave up on that after an hour lol

Here's an interesting random fact about puzzle address #120, in one whole day a Tesla V100 GPU can search 0.00000001% of the keyspace using the pollard kangaroo software. That is equal to approx. 2^93..

NotATether

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Activity: 1568

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bitcoincleanup.com / bitmixlist.org

Quote from: MeBender on February 22, 2021, 12:43:01 AM

I dunno man, so far I've gathered about 20,000 pubkeys to addresses that still have over 6 btc on them. I'm going to run them in the pollard kangaroo program in the keyspace 1 - 2^69 ( ͡° ͜ʖ ͡°) and possibly will find a private key in the low bit range! But the chances that anyone is legitimately using a private key in a keyspace less than 2^128 is pretty slim..

If you still want to go along with this then I suggest not letting it run for more than a day, because you're looking for private keys with 59 leading zero bits in them. Chances are if these addresses have a seed phrase associated with them, neither it's master private key or any of its child keys were derived in a way such that there are several zero bits at the beginning.

Maybe use a random prefix that has a mixture of 1s and 0s which is more likely to hit than all zeros.

MeBender

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Activity: 114

Merit: 5

Quote from: fxsniper on February 22, 2021, 12:23:23 AM

Quote from: MeBender on February 21, 2021, 10:18:52 PM

Yep I updated my program so that it saves all the public keys to a txt file

And I've been running it all day with no limits from blockchain.com so I think for that specific api call there are no limits, but I could be wrong!

Thank you

Script it is work as well, I try already.

problem Pollard's kangaroo ECDLP solver can use with only public key
and public key have only bitcoin address that have transaction

people know about this already, people smart to move bitcoin to new address that not have any transaction
and use new bitcoin address (segwit) not show public key , it have legacy only show public key

I dunno man, so far I've gathered about 20,000 pubkeys to addresses that still have over 6 btc on them. I'm going to run them in the pollard kangaroo program in the keyspace 1 - 2^69 ( ͡° ͜ʖ ͡°) and possibly will find a private key in the low bit range! But the chances that anyone is legitimately using a private key in a keyspace less than 2^128 is pretty slim..

fxsniper

member

Activity: 406

Merit: 47

Quote from: MeBender on February 21, 2021, 10:18:52 PM

Yep I updated my program so that it saves all the public keys to a txt file

And I've been running it all day with no limits from blockchain.com so I think for that specific api call there are no limits, but I could be wrong!

Thank you

Script it is work as well, I try already.

problem Pollard's kangaroo ECDLP solver can use with only public key
and public key have only bitcoin address that have transaction

people know about this already, people smart to move bitcoin to new address that not have any transaction
and use new bitcoin address (segwit) not show public key , it have legacy only show public key

MeBender

jr. member

Activity: 114

Merit: 5

Quote from: fxsniper on February 21, 2021, 08:43:47 PM

Quote from: MeBender on February 21, 2021, 05:15:57 AM

I pushed my little public key gathering script to github if anybody wants it!

https://github.com/GonzoTheDev/BitcoinPublicKeyGrabber

Could you help to write script to save output to csv collect?

Can blockchain.info use for get data massive over 100k address without get ban ip address?

Yep I updated my program so that it saves all the public keys to a txt file

And I've been running it all day with no limits from blockchain.com so I think for that specific api call there are no limits, but I could be wrong!

fxsniper

member

Activity: 406

Merit: 47

Quote from: MeBender on February 21, 2021, 05:15:57 AM

I pushed my little public key gathering script to github if anybody wants it!

https://github.com/GonzoTheDev/BitcoinPublicKeyGrabber

Could you help to write script to save output to csv collect?

Can blockchain.info use for get data massive over 100k address without get ban ip address?

MeBender

jr. member

Activity: 114

Merit: 5

I pushed my little public key gathering script to github if anybody wants it!

https://github.com/GonzoTheDev/BitcoinPublicKeyGrabber

MeBender

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Activity: 114

Merit: 5

Quote from: NotATether on February 19, 2021, 05:52:43 AM

Quote from: MeBender on February 18, 2021, 04:29:48 PM

Is it actually stealing though?

Cracking addresses that were meant to be cracked such as the puzzle transactions is not sealing of course. But if I were you, in the hypothetical event you managed to find the private key for some random address, I would leave them alone and not ever share the results with anyone. It may be that the owner intentionally left the bitcoins stowed away to use many years later e.g Hal's children.

I guess that is a good point. I doubt anyone will ever crack one of the wallets I posted though lol

NotATether

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Quote from: MeBender on February 18, 2021, 04:29:48 PM

Is it actually stealing though?

Cracking addresses that were meant to be cracked such as the puzzle transactions is not sealing of course. But if I were you, in the hypothetical event you managed to find the private key for some random address, I would leave them alone and not ever share the results with anyone. It may be that the owner intentionally left the bitcoins stowed away to use many years later e.g Hal's children.

MeBender

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Activity: 114

Merit: 5

Quote from: renedx on February 18, 2021, 09:10:18 AM

Quote from: bigvito19 on February 18, 2021, 08:27:37 AM

Quote from: MeBender on February 18, 2021, 01:57:16 AM

Here is a list of all known public keys in the top 10,000 addresses that I scraped with a python script and blockchain.com's API, each address has at least $10 million worth of bitcoin. Knock yourselves out!

*Edit: here is the API for getting the public key from an address if it is known: https://www.blockchain.com/api/q/pubkeyaddr/{ADDRESS}

Thanks for the list, do you have the whole file for all the 10,000 addresses?

Now if we could check for multiple public keys simultaneously and merge files to check different keys that can be solved.

Besides of this being stealing, you're better of buying a lottery ticket. The amount of numbers you'll need to hit, for a random wallet, is beyond what's possible these days.
Cracking just puzzle #120, would take months with significant processing power and knowing the private space to search in. Don't even start thinking about these wallets.

Edit: Ah, I see you're a full member. You're well aware of this Tongue

Is it actually stealing though?

renedx

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Activity: 36

Merit: 3

Quote from: bigvito19 on February 18, 2021, 08:27:37 AM

Quote from: MeBender on February 18, 2021, 01:57:16 AM

Here is a list of all known public keys in the top 10,000 addresses that I scraped with a python script and blockchain.com's API, each address has at least $10 million worth of bitcoin. Knock yourselves out!

*Edit: here is the API for getting the public key from an address if it is known: https://www.blockchain.com/api/q/pubkeyaddr/{ADDRESS}

Thanks for the list, do you have the whole file for all the 10,000 addresses?

Now if we could check for multiple public keys simultaneously and merge files to check different keys that can be solved.

Besides of this being stealing, you're better of buying a lottery ticket. The amount of numbers you'll need to hit, for a random wallet, is beyond what's possible these days.
Cracking just puzzle #120, would take months with significant processing power and knowing the private space to search in. Don't even start thinking about these wallets.

Edit: Ah, I see you're a full member. You're well aware of this Tongue

bigvito19

full member

Activity: 706

Merit: 111

Quote from: MeBender on February 18, 2021, 01:57:16 AM

Here is a list of all known public keys in the top 10,000 addresses that I scraped with a python script and blockchain.com's API, each address has at least $10 million worth of bitcoin. Knock yourselves out!

*Edit: here is the API for getting the public key from an address if it is known: https://www.blockchain.com/api/q/pubkeyaddr/{ADDRESS}

Thanks for the list, do you have the whole file for all the 10,000 addresses?

Now if we could check for multiple public keys simultaneously and merge files to check different keys that can be solved.

MeBender

jr. member

Activity: 114

Merit: 5

PART 3:

Code:

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MeBender

jr. member

Activity: 114

Merit: 5

PART 2:

Code:

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MeBender

jr. member

Activity: 114

Merit: 5

Here is a list of all known public keys in the top 10,000 addresses that I scraped with a python script and blockchain.com's API, each address has at least $10 million worth of bitcoin. Knock yourselves out!

*Edit: here is the API for getting the public key from an address if it is known: https://www.blockchain.com/api/q/pubkeyaddr/{ADDRESS}

PART 1:

Code:

024b83426cf9bff257261d87f2f2858b51b2eea756c0123c7e05bc0a007425c9f2
03a66af64bd473394550d16584921c82a18d7efff5e521bce6ea9e2b50dc8606dc
02679a681d9b5bf5c672e0413997762664a17009038674b806bf27dd6b368d9b67
03a02e93cf8c47b250075b0af61f96ebd10376c0aaa7635148e889cb2b51c96927
0302570c945dc0ae3bd39c09a98dd702be11f45187517d5c023a640a4264241b00
0245fc9bb6ee1a1a3467088c83d0003d43468b8df9d502dbc1a9fb7fbda78c1bc9
0385b68d2339f08f745aea37ef318ef44dfe4c04c672239dd59da238d23be7b2a8
031179ecf3672c8b2a270f77303984b85160acb550cbf32308cc739b4c52f1ac60
025bfbdb44ec4afb9a6085f691316126df4d4ff25a0a0342d560d66c59554f7343
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023e87fab1b3b558b1e44b28d93952b06409cbec86eb84187000b3d83cafde8aa8
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033dbdd173047a87765b903ee5a62c132ba0507f34b60e7544003f72a974b9ce32
02b66f746cad51d31f4500b52ff3329669f197df81cc713e4c140d961990cfc50c
02bb55504a9d0e16934325c483e71f7977b74f441edd2989217bba1741808a62e1
035deb8e150be5ccbfcca2a978d9bc3e2990afb61d08b49ce0494f39b10173c828
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024d1a2bf82b30611333d03b3c3288c9f995aed4ee63eff54ddb93f9bd55a80f43
02024f4765add46330b0e1f9787a04c123527eb99175e3269c046bab5686618263
028c3c42ca402f035acffacd38b95ea996a291bf7f0842b521dc8f48d892e1d450
02bb4e75aab64dae9a6dcb000181dfbbedfef9de165a33b1b270bdba6ff19e86a5
03444595b40c0d30151037b3787df4effd822d4fe2047126e09bab1f8e9c7f89f3
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036d9a9648fdaf0564fbaadd815807684070d00c08e521c77fc30f6a5ce2c8dee9
037beef55c57ec04b0d034e05d9be6b11420c1a8e7e830d66ab99040140bad5320
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03d8bcb7e6c3286315dc3943dfe59375fb7d2c1dc1b690011fd9f1d32b5bc7329e
022edeba40e56139e2bda61fc8630c10a67af72f82ace5c1833501aa2d6eaccdc7
036d56505523a26087bf9950ad28d093e25b08cc975e7e9ef2090e95bf6360a8f2
03e2b4c12ccf9ac4b26c53c2c36eca5b567980dc46eb78484038c2252fd0e28fdb
025bfbdb44ec4afb9a6085f691316126df4d4ff25a0a0342d560d66c59554f7343
037139d74c4c644141d74e8a8cab18d593eb4398760c6683352cee18d4b48be80b
02a7c40f4e46e28eb1a6f3477f1829f3bc04c525c52eac58f51d144eb58bd309cf
03e6d2f6d5a292c49538d355771b205a69418ed2ead3027a02983445a52668c1b7
037e5aa09809011b663e588df0bc18e782642063afbc1de386161c21f98fad2beb
031faac9f48875bb4cb5c43b68fe698afedbb696cc6648e694b145b72c0088c7b6
035f99443af8355ce4f101af725e237e72a28c5eba4233ad4be41b92263d4a53d6
02ac03bc5a3fa07ef5dbd46512454807461c0de2a830acbd484b0bfb3dc082bef6
029afa9800e0f8511a4ecfae1f2b01c372540a80b9c0388893e542fbcb7d8b6049
0336d8bfc9216885538749875dc5edc49ba029e7d6dcdca592059113b859502437
024843ece968ba30d47c6a36e04441ad04861631916f77f73b7bb4acaf7c240ae6
04d6597d465408e6e11264c116dd98b539740e802dc756d7eb88741696e20dfe7d3588695d2e7ad23cbf0aa056d42afada63036d66a1d9b97070dd6bc0c87ceb0d
047a51392bace353f4c3788c9c090ef4f635ec211159ec3b9f1bb7da7679517e126e98e0012bcb4d2b023c479afaaa1ad703ea1b24e1910e2cdad38744ba7aab8a
0490d76625f4a5f14cb36872d81d742cd949e0cefcbe841ba35c74fb9902eef581173fd03a5b250e5371d2c90fb9f8763fb527612f97ee8cd200bede19255ae200
0458d7378b322f9b16f44bb0ab67a5effc1614f0dc72788ab776e405461dfb78605edc05703653902d4bc820028063f4694a83b705e13a0e35b3d680f4634e31a1
04ddcf39637406b4a7c7ea6e12b179f50860a8910aa8a0472431c38560bc5586c56529fd7f09ef80fa8cb76e1b056e04f687367a2745a8230d4e05e4700c816aec
047b0a8d52f02e2ef5d73a5312c02c8b4008c4c327c3843c06f873a6cdf4f3ce870d6441d86f2b4f52c7117c51a4033318f786111266df6df3b09a4539c55bbf8d
0414aa791606c386003a5c3fbdf9c81f6fb1272597ed78f6524c79eee71112cbdb2ead122bd32427aa4f953324ce6b1eb6e83c3067b02cb8da0151b66e5c202188
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NotATether

legendary

Activity: 1568

Merit: 6660

bitcoincleanup.com / bitmixlist.org

Quote from: rama_rao on February 14, 2021, 02:07:24 PM

...
Pls help me if we can get public key from p2sh or bech addresses. I'll run on 1st richest wallet.

First of all you are better off not using this for random addresses that have a lot of money, because their difficulty is ASTRONOMICALLY GREATER (you probably don't need a lecture about this) than an address with specialized information about it like the puzzle transaction.

As for getting public keys associated with the addresses, this is only possible if there is at least one transaction associated with the address, which'll always be the cease if you're talking about funded addresses. Use blockchain.info to find a transaction involving the address you want to run Kangaroo on, then copy the transaction ID and paste it into blockstream.info, select the "Details" button, and under the address there will be a bunch of of information at "scriptsig (asm)", where you will find the public key there.

We need two block explorers to accomplish this because Blockchain doesn't show public keys, and Blockstream can't search by address.

Don't bother trying to brute force this, it's in a hot wallet that was included in the block mined just now. It'll definitely move somewhere else later.

That red underlined hex number is the public key for the address that Blockstream's block explorer shows.

rama_rao

newbie

Activity: 18

Merit: 1

Broke - Running kangaroo on 120th puzzle transaction with 2^119 search space and get 1.2 BTC

Woke - Running kangaroo on 5th richest BTC address with 2^256 search space and get >84,000 BTC

Pls help me if we can get public key from p2sh or bech addresses. I'll run on 1st richest wallet. If he universe wants me to have those, I'll get those. Only if we are living in a simulation...

NotATether

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Merit: 6660

bitcoincleanup.com / bitmixlist.org

Quote from: bigvito19 on February 12, 2021, 02:27:08 PM

I know its been a month since this was posted, but this couldn't be taking in consideration for kangaroo?

AFAIK, it's already built in by virtue of the algorithm always hopping to valid points.

Quote from: arulbero on December 31, 2020, 06:19:57 AM

Quote from: NotATether on December 31, 2020, 06:09:16 AM

Since the invalid points derived for each X and Y don't overlap, we have already removed 1/2 * 2/3 = 1/3 of the total possible search space like that.

No, because all the tame and the wild move directly (jump) between the points (with valid coordinates); the points are about 2^256:

(1/2 * 2^256 X coordinates) * (2 valid Y coordinates) = 2^256 points.

However even though we only look at half the private keys with an X coordinate, since we also look at their two Y coordinates this doesn't decrease how many points we're searching at all (still 2^256).

bigvito19

full member

Activity: 706

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Quote from: arulbero on December 31, 2020, 03:49:27 AM

Quote from: WanderingPhilospher on December 30, 2020, 03:29:51 PM

For the really smart people out there...I had read somewhere that a pubkey may have 2 X coordinates, maybe 3 X coordinates, can't really remember.

Each pubkey has only 1 X coordinate and 1 Y coordinate. And only 1 private key.

There are 2 pubkeys that share the same X coordinate (for each valid X coordinate) but they have different Y coordinates:

if A = (X,Y) then B = -A = (X, p-Y)

(p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1)

There are 3 pubkeys that share the same Y coordinate (for each valid Y coordinate) but they have different X coordinates:

if A = (X,Y) then B = k*A = (beta*X, Y) and C = k*k*A = (beta*beta*X, Y)

(k = 0x5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72
and beta = 0x7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee)

There are about 2^256 points on secp256k1, (to be precise n = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141) and Fp (the field of the coordinates X e Y) has about the same size;

that means that about 1/3 of the all possible values of Y are valid Y coordinates (are coordinates of a point/pub key) and about 1/2 of all the possible values of X are valid X coordinates.

That's all.

Quote from: NotATether on December 31, 2020, 06:09:16 AM

Quote from: arulbero on December 31, 2020, 03:49:27 AM

that means that about 1/3 of the all possible values of Y are valid Y coordinates (are coordinates of a point/pub key) and about 1/2 of all the possible values of X are valid X coordinates.

Maybe we can use that as an optimization and go through all the X values, and check that (X² + 7) mod p gives a cubed number which would imply a valid Y. This would eliminate half of the search space. Similarly we can go through all the Y values and calculate Y³ mod p is a square number which implies a valid X and eliminate 2/3s of the search space.

Since the invalid points derived for each X and Y don't overlap, we have already removed 1/2 * 2/3 = 1/3 of the total possible search space like that.

I know its been a month since this was posted, but this couldn't be taking in consideration for kangaroo?

Topic: Pollard's kangaroo ECDLP solver - page 73. (Read 58537 times)