Author

Topic: Bitcoin puzzle transaction ~32 BTC prize to who solves it - page 295. (Read 208393 times)

legendary
Activity: 3248
Merit: 1070
With regards to the future, we never know what will be possible tomorrow.

Not exactly true.  With respect to brute forcing a private key we know it will never be possible because we can calculate how much energy it would take for a theoretical best possible computer from a thermodynamics point of view to do the task of just counting from 1 to 2160 or 2256.

Since any possible actual computer will be less efficient than the best possible computer we know it will take any possible actual computer more energy than the theoretical machine - which is already too much energy.

Carefully reread the description next to the picture of the sun that is posted every single time this question is posed.

In your previous thread it was posted here:

https://bitcointalksearch.org/topic/m.13377953

mmh, "never" is a strong statement, you can't be sure about a very distant future. 1-10 thousand years or more, maybe the laws that we know today will be reviewed, because new things will be discovered in the unknown universe

even satoshi said that if something will broke sha256 in the future, it will be a completely new thing, not imaginable today
legendary
Activity: 2646
Merit: 1137
All paid signature campaigns should be banned.
So a version 1 bitcoin address has a security level of 2160, but how to make sure you have a security of 2256? From when on was the version 1 bitcoin address abandoned and we are sure to enjoy increased security?

Maybe I'm understanding this wrong and everybody is using version 1 addresses, but I would rather know for sure I'm using the safest keys possible.

Even though the security of Bitcoin is reduced to "only" 2160 by the selected second hashing algorithm it is actually more secure in other ways due to the selection of two different hashing algorithms in the public key to Bitcoin address step since both algorithms need to be broken in order to break that step.

Every step of the way everything possible was done to ensure that Bitcoin was secure.  For example Bitcoin is one of the only systems in existence that uses the secp256k1 curve instead of the secp256r1 curve that is used by almost everyone else.  But this was a very wise decision in light of recent leaks about the NSA and their underhanded practices with respect to the cryptography they produce or help produce.

secp256r1 was designed by the NSA, secp256k1 was not.
legendary
Activity: 2646
Merit: 1137
All paid signature campaigns should be banned.
With regards to the future, we never know what will be possible tomorrow.

Not exactly true.  With respect to brute forcing a private key we know it will never be possible because we can calculate how much energy it would take for a theoretical best possible computer from a thermodynamics point of view to do the task of just counting from 1 to 2160 or 2256.

Since any possible actual computer will be less efficient than the best possible computer we know it will take any possible actual computer more energy than the theoretical machine - which is already too much energy.

Carefully reread the description next to the picture of the sun that is posted every single time this question is posed.

In your previous thread it was posted here:

https://bitcointalksearch.org/topic/m.13377953
legendary
Activity: 2646
Merit: 1137
All paid signature campaigns should be banned.
After some analysis I believe the underlying sequence is probably random.  It may have been a PRNG instead of a RNG but that would not help us much.  It would be great if we had all 50 actual values to work with.

Code:
 BTC   Actual      Range of Values                        Location
Value  Value       Low                    High            in Range
-----  ----------  -------------------------------------  ---------
0.001  1           0                      1               100.0000%
0.002  3           2                      3               100.0000%
0.003  7           4                      7               100.0000%
0.004  8           8                      15                0.0000%
0.005  21          16                     31               33.3333%
0.006  49          32                     63               54.8387%
0.007  76          64                     127              19.0476%
0.008  224         128                    255              75.5906%
0.009  467         256                    511              82.7451%
0.010  514         512                    1,023             0.3914%
0.011  1,155       1,024                  2,047            12.8055%
0.012  2,683       2,048                  4,095            31.0210%
0.013  5,216       4,096                  8,191            27.3504%
0.014  10,544      8,192                  16,383           28.7144%
0.015  26,867      16,384                 32,767           63.9871%
0.016  51,510      32,768                 65,535           57.1978%
0.017  95,823      65,536                 131,071          46.2150%
0.018  198,669     131,072                262,143          51.5728%
0.019  357,535     262,144                524,287          36.3889%
0.020  863,317     524,288                1,048,575        64.6648%
0.021  1,811,764   1,048,576              2,097,151        72.7833%
0.022  3,007,503   2,097,152              4,194,303        43.4089%
0.023  5,598,802   4,194,304              8,388,607        33.4858%
0.024  14,428,676  8,388,608              16,777,215       72.0032%
0.025              16,777,216             33,554,431
0.026              33,554,432             67,108,863
0.027              67,108,864             134,217,727
0.028              134,217,728            268,435,455
0.029              268,435,456            536,870,911
0.030              536,870,912            1,073,741,823
0.031              1,073,741,824          2,147,483,647
0.032              2,147,483,648          4,294,967,295
0.033              4,294,967,296          8,589,934,591
0.034              8,589,934,592          17,179,869,183
0.035              17,179,869,184         34,359,738,367
0.036              34,359,738,368         68,719,476,735
0.037              68,719,476,736         137,438,953,471
0.038              137,438,953,472        274,877,906,943
0.039              274,877,906,944        549,755,813,887
0.040              549,755,813,888        1,099,511,627,775
0.041              1,099,511,627,776      2,199,023,255,551
0.042              2,199,023,255,552      4,398,046,511,103
0.043              4,398,046,511,104      8,796,093,022,207
0.044              8,796,093,022,208      17,592,186,044,415
0.045              17,592,186,044,416     35,184,372,088,831
0.046              35,184,372,088,832     70,368,744,177,663
0.047              70,368,744,177,664     140,737,488,355,327
0.048              140,737,488,355,328    281,474,976,710,655
0.049              281,474,976,710,656    562,949,953,421,311
0.050              562,949,953,421,312    1,125,899,906,842,620
0.051              1,125,899,906,842,620  2,251,799,813,685,250
0.052              2,251,799,813,685,250  4,503,599,627,370,490
member
Activity: 169
Merit: 23
-snip-

It will not, however, ever be possible to brute-force attempt 2256 possibilities.

-snip-

2^256   115792089237316000000000000000000000000000000000000000000000000000000000000000   <- And this is how safe bitcoin is.

Nope.

That's how secure an ECDSA public key is, but version 1 bitcoin addresses use a 160 bit hash of that public key, so the security is reduced to 2160.

Effectively yes.

My analogy was based on the fact that there are 2^256 private keys.

With regards to the future, we never know what will be possible tomorrow.

I believe somehow there will be some kind of evolution in computation that will make all the current encryption algorithms useless, but surely not during our life time.

I know its hard to believe, but if back in 1700 you'd tell Isaac Newton that one day mankind would have something called computers at home doing millions of instructions per second using his formulas, it would also be hard to believe.
legendary
Activity: 1946
Merit: 1007
- snip -
it may take decades and decades or centuries but eventually it will be possible to crack 2^256 pvks.
- snip -

It's impossible to say whether or not any future mathematicians will be able to discover any weaknesses in the ECDSA algorithm with the secp256k1 curve.

It will not, however, ever be possible to brute-force attempt 2256 possibilities.

2^160   1461501637330900000000000000000000000000000000000

2160 is the security level of version 1 bitcoin addresses.

2^256   115792089237316000000000000000000000000000000000000000000000000000000000000000   <- And this is how safe bitcoin is.

Nope.

That's how secure an ECDSA public key is, but version 1 bitcoin addresses use a 160 bit hash of that public key, so the security is reduced to 2160.

So a version 1 bitcoin address has a security level of 2160, but how to make sure you have a security of 2256? From when on was the version 1 bitcoin address abandoned and we are sure to enjoy increased security?

Maybe I'm understanding this wrong and everybody is using version 1 addresses, but I would rather know for sure I'm using the safest keys possible.
hero member
Activity: 1022
Merit: 538
Any info on who published this puzzle and what's their goal? Also, how would one go on about calculating those pvk decimal values and covert them to the private keys?

I don't know why but I'm smelling a big scam. Because a newbie that offer more than 12 000€ to solve a following of numbers this is strange...

The OP is not offering anything

Why would anyone pay such a high amount for this? They must have some kind of goal behind it, no one just does that for no reason.
Of course the OP is not offering anything. Why would he? He probably doesn't even know what to do with it when someone cracks it. I don't either.
This will take a very long time to crack, thats probably the reason why the reward is so high.

legendary
Activity: 3472
Merit: 4794
- snip -
it may take decades and decades or centuries but eventually it will be possible to crack 2^256 pvks.
- snip -

It's impossible to say whether or not any future mathematicians will be able to discover any weaknesses in the ECDSA algorithm with the secp256k1 curve.

It will not, however, ever be possible to brute-force attempt 2256 possibilities.

2^160   1461501637330900000000000000000000000000000000000

2160 is the security level of version 1 bitcoin addresses.

2^256   115792089237316000000000000000000000000000000000000000000000000000000000000000   <- And this is how safe bitcoin is.

Nope.

That's how secure an ECDSA public key is, but version 1 bitcoin addresses use a 160 bit hash of that public key, so the security is reduced to 2160.
hero member
Activity: 1092
Merit: 520
All of this story tell us something.


(in a worst case scenario, also assuming that the one who cracked the 50 addresses brute forced all the possible addresses sequential)

As time goes by this capability will increase, it may take decades and decades or centuries but eventually it will be possible to crack 2^256 pvks


are you serious it may take decades?  seriously  and the way technology is improving you think that in decades from now we will be relaying on tech from 2009.  wise up if the 20 years the tech to break bitcoin has improved so will the tech to have improved bitcoin security.

Like antonantonopolus says the inventioin is out of the box, it cant be put back in. "worst case senario bitcoin breaks and tomorrow we start a new crypto with all the failures of bitcoiin sorted"..... YES  Grin and yes those who new about crypto get in at the bottom......... Grin
member
Activity: 169
Merit: 23
50 addresses have been cleaned out so far. The integers for the first 24 private keys have been posted.
Could anyone post the pvks for 25 to 50?

Probably only two guys know that (who cracked and who owns), and they are probably not among us in this forum.
member
Activity: 169
Merit: 23
they seem to be always close to the double of the previous value, excluding the first few values.

There may, or may not be an actual pattern to the values, but that "close to the double of the previous value" would occur if you simply chose a completely random number from a set with 1 additional binary digit at each level.

Effectively each new private key would be a number of binary digits equivalent to the number of milibitcoins stored at the address with the first digit being a 1.


Let us assume that there is some sort of mathematical formula to solve this puzzle.

That's the only way we will ever be able to solve this puzzle during our lifetime.

I strongly recommend to all the mathematical experts out there to have a look at this sequence, maybe they are able to find something.
member
Activity: 169
Merit: 23
All of this story tell us something.

We now know that someone out there is able to crack aprox. 2^50 private keys in about 1 year.

(in a worst case scenario, also assuming that the one who cracked the 50 addresses brute forced all the possible addresses sequential)

As time goes by this capability will increase, it may take decades and decades or centuries but eventually it will be possible to crack 2^256 pvks.

The transaction referenced in this thread is a good reference to test how far the mankind cracking capabilities are.

As of now, we can enjoy the safety of bitcoin for a long long time Smiley

2^1   2   
2^2   4   
2^3   8   
2^4   16   
2^5   32   
2^6   64   
2^7   128   
2^8   256   
2^9   512   
2^10   1024   
2^11   2048   
2^12   4096   
2^13   8192   
2^14   16384   
2^15   32768   
2^16   65536   
2^17   131072   
2^18   262144   
2^19   524288   
2^20   1048576   
2^21   2097152   
2^22   4194304   
2^23   8388608   
2^24   16777216   
2^25   33554432   
2^26   67108864   
2^27   134217728   
2^28   268435456   
2^29   536870912   
2^30   1073741824   
2^31   2147483648   
2^32   4294967296   
2^33   8589934592   
2^34   17179869184   
2^35   34359738368   
2^36   68719476736   
2^37   137438953472   
2^38   274877906944   
2^39   549755813888   
2^40   1099511627776   
2^41   2199023255552   
2^42   4398046511104   
2^43   8796093022208   
2^44   17592186044416   
2^45   35184372088832   
2^46   70368744177664   
2^47   140737488355328   
2^48   281474976710656   
2^49   562949953421312   
2^50   1125899906842620   <- This is aprox. the number of bitcoins private keys someone is able to crack in about 1 year
2^51   2251799813685250   
2^52   4503599627370500   
2^53   9007199254740990   
2^54   18014398509482000   
2^55   36028797018964000   
2^56   72057594037927900   
2^57   144115188075856000   
2^58   288230376151712000   
2^59   576460752303423000   
2^60   1152921504606850000   
2^61   2305843009213690000   
2^62   4611686018427390000   
2^63   9223372036854780000   
2^64   18446744073709600000   
2^65   36893488147419100000   
2^66   73786976294838200000   
2^67   147573952589676000000   
2^68   295147905179353000000   
2^69   590295810358706000000   
2^70   1180591620717410000000   
2^71   2361183241434820000000   
2^72   4722366482869650000000   
2^73   9444732965739290000000   
2^74   18889465931478600000000   
2^75   37778931862957200000000   
2^76   75557863725914300000000   
2^77   151115727451829000000000   
2^78   302231454903657000000000   
2^79   604462909807315000000000   
2^80   1208925819614630000000000   
2^81   2417851639229260000000000   
2^82   4835703278458520000000000   
2^83   9671406556917030000000000   
2^84   19342813113834100000000000   
2^85   38685626227668100000000000   
2^86   77371252455336300000000000   
2^87   154742504910673000000000000   
2^88   309485009821345000000000000   
2^89   618970019642690000000000000   
2^90   1237940039285380000000000000   
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2^92   4951760157141520000000000000   
2^93   9903520314283040000000000000   
2^94   19807040628566100000000000000   
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2^97   158456325028529000000000000000   
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2^103   10141204801825800000000000000000   
2^104   20282409603651700000000000000000   
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2^130   1361129467683750000000000000000000000000   
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2^135   43556142965880100000000000000000000000000   
2^136   87112285931760200000000000000000000000000   
2^137   174224571863520000000000000000000000000000   
2^138   348449143727041000000000000000000000000000   
2^139   696898287454082000000000000000000000000000   
2^140   1393796574908160000000000000000000000000000   
2^141   2787593149816330000000000000000000000000000   
2^142   5575186299632660000000000000000000000000000   
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2^146   89202980794122500000000000000000000000000000   
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2^165   46768052394588900000000000000000000000000000000000   
2^166   93536104789177800000000000000000000000000000000000   
2^167   187072209578356000000000000000000000000000000000000   
2^168   374144419156711000000000000000000000000000000000000   
2^169   748288838313422000000000000000000000000000000000000   
2^170   1496577676626840000000000000000000000000000000000000   
2^171   2993155353253690000000000000000000000000000000000000   
2^172   5986310706507380000000000000000000000000000000000000   
2^173   11972621413014800000000000000000000000000000000000000   
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2^177   191561942608236000000000000000000000000000000000000000   
2^178   383123885216472000000000000000000000000000000000000000   
2^179   766247770432944000000000000000000000000000000000000000   
2^180   1532495540865890000000000000000000000000000000000000000   
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2^182   6129982163463560000000000000000000000000000000000000000   
2^183   12259964326927100000000000000000000000000000000000000000   
2^184   24519928653854200000000000000000000000000000000000000000   
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2^186   98079714615416900000000000000000000000000000000000000000   
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2^188   392318858461668000000000000000000000000000000000000000000   
2^189   784637716923335000000000000000000000000000000000000000000   
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2^202   6427752177035960000000000000000000000000000000000000000000000   
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2^232   6901746346790560000000000000000000000000000000000000000000000000000000   
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2^240   1766847064778380000000000000000000000000000000000000000000000000000000000   
2^241   3533694129556770000000000000000000000000000000000000000000000000000000000   
2^242   7067388259113540000000000000000000000000000000000000000000000000000000000   
2^243   14134776518227100000000000000000000000000000000000000000000000000000000000   
2^244   28269553036454100000000000000000000000000000000000000000000000000000000000   
2^245   56539106072908300000000000000000000000000000000000000000000000000000000000   
2^246   113078212145817000000000000000000000000000000000000000000000000000000000000   
2^247   226156424291633000000000000000000000000000000000000000000000000000000000000   
2^248   452312848583266000000000000000000000000000000000000000000000000000000000000   
2^249   904625697166533000000000000000000000000000000000000000000000000000000000000   
2^250   1809251394333070000000000000000000000000000000000000000000000000000000000000   
2^251   3618502788666130000000000000000000000000000000000000000000000000000000000000   
2^252   7237005577332260000000000000000000000000000000000000000000000000000000000000   
2^253   14474011154664500000000000000000000000000000000000000000000000000000000000000   
2^254   28948022309329000000000000000000000000000000000000000000000000000000000000000   
2^255   57896044618658100000000000000000000000000000000000000000000000000000000000000   
2^256   115792089237316000000000000000000000000000000000000000000000000000000000000000   <- And this is how safe bitcoin is.
legendary
Activity: 1498
Merit: 1113
thats why i still like this forum. topics like this are a pleasure to follow.

keep going and solve this.
tyz
legendary
Activity: 3360
Merit: 1533
50 addresses have been cleaned out so far. The integers for the first 24 private keys have been posted.
Could anyone post the pvks for 25 to 50?
vip
Activity: 1428
Merit: 1145
Hi guys,

In continuation to this thread: https://bitcointalksearch.org/topic/brute-force-on-bitcoin-addresses-video-of-the-action-1305887

While playing around with my bot, I found out this mysterious transaction:

https://blockchain.info/tx/08389f34c98c606322740c0be6a7125d9860bb8d5cb182c02f98461e5fa6cd15

those 32.896 BTC were sent to multiple addresses, all the private keys of those addresses seem to be generated by some kind of formula.

For example:

Address 2:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU74sHUHy8S
1CUNEBjYrCn2y1SdiUMohaKUi4wpP326Lb
Biginteger PVK value: 3
Hex PVK value: 3

Address 3:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU76rnZwVdz
19ZewH8Kk1PDbSNdJ97FP4EiCjTRaZMZQA
Biginteger PVK value: 7
Hex PVK value: 7

Address 4:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU77MfhviY5
1EhqbyUMvvs7BfL8goY6qcPbD6YKfPqb7e
Biginteger PVK value: 8
Hex PVK value: 8

Address 5:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU7Dq8Au4Pv
1E6NuFjCi27W5zoXg8TRdcSRq84zJeBW3k
Biginteger PVK value: 21
Hex PVK value: 15

Address 6:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU7Tmu6qHxS
1PitScNLyp2HCygzadCh7FveTnfmpPbfp8
Biginteger PVK value: 49
Hex PVK value: 31

Address 7:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU7hDgvu64y
1McVt1vMtCC7yn5b9wgX1833yCcLXzueeC
Biginteger PVK value: 76
Hex PVK value: 4C

Address 8:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFU8xvGK1zpm
1M92tSqNmQLYw33fuBvjmeadirh1ysMBxK
Biginteger PVK value: 224
Hex PVK value: E0

Address 9:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFUB3vfDKcxZ
1CQFwcjw1dwhtkVWBttNLDtqL7ivBonGPV
Biginteger PVK value: 467
Hex PVK value: 1d3

Address 10:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFUBTL67V6dE
1LeBZP5QCwwgXRtmVUvTVrraqPUokyLHqe
Biginteger PVK value: 514
Hex PVK value: 202

Address 11:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFUGxXgtm63M
1PgQVLmst3Z314JrQn5TNiys8Hc38TcXJu
Biginteger PVK value: 1155
Hex PVK value: 483

Address 12:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFUW5RtS2JN1
1DBaumZxUkM4qMQRt2LVWyFJq5kDtSZQot
Biginteger PVK value: 2683
Hex PVK value: a7b

Address 13:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFUspniiQZds
1Pie8JkxBT6MGPz9Nvi3fsPkr2D8q3GBc1
Biginteger PVK value: 5216
Hex PVK value: 1460

Address 14:

KwDiBf89QgGbjEhKnhXJuH7LrciVrZi3qYjgd9M7rFVfZyiN5iEG
1ErZWg5cFCe4Vw5BzgfzB74VNLaXEiEkhk
Biginteger PVK value: 10544
Hex PVK value: 2930

and so on...

until the addresses 50 (1MEzite4ReNuWaL5Ds17ePKt2dCxWEofwk) it was already cracked by someone.

Any ideas what's the formula behind the generation of these addresses?

Address 2, pvk decimal value: 3
Address 3, pvk decimal value: 7
Address 4, pvk decimal value: 8
Address 5, pvk decimal value: 21
Address 6, pvk decimal value: 49
Address 7, pvk decimal value: 76
Address 8, pvk decimal value: 224
Address 9, pvk decimal value: 467
Address 10, pvk decimal value: 514
Address 11, pvk decimal value: 1155
Address 12, pvk decimal value: 2683
Address 13, pvk decimal value: 5216
Address 14, pvk decimal value: 10544
Address 15 and after, pvk decimal value: ?

The prize would be ~32 BTC Smiley

EDIT: If you find the solution feel free to leave a tip Smiley 1DPUhjHvd2K4ZkycVHEJiN6wba79j5V1u3

My guess is that the same person conducting the above is the same person who started this thread and requesting tips. Then again, it's probably just me seeing things that aren't there. HAHAHA
sr. member
Activity: 423
Merit: 250
I posted this puzzle transaction in January'15
https://bitcointalksearch.org/topic/--932434



Given how long it is going on and first 50 rewards claimed already, it becomes economically unjustificable to keep brute forcing giving the number of tries you need to do going up almost exponencionally. But maybe someone still bruteforcing the 51st reward with modified oclvanityminer...
legendary
Activity: 3472
Merit: 4794
they seem to be always close to the double of the previous value, excluding the first few values.

There may, or may not be an actual pattern to the values, but that "close to the double of the previous value" would occur if you simply chose a completely random number from a set with 1 additional binary digit at each level.

Effectively each new private key would be a number of binary digits equivalent to the number of milibitcoins stored at the address with the first digit being a 1.
hero member
Activity: 868
Merit: 503
The answer to life, the universe and everything in it......
legendary
Activity: 1778
Merit: 1043
#Free market
Watching this interesting thread, good luck !
legendary
Activity: 2114
Merit: 1040
A Great Time to Start Something!
This drama cannot be created with fiat money. Huge kudos to the person who provided the challenges.
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