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Author Topic: Bitcoin puzzle transaction ~32 BTC prize to who solves it  (Read 384911 times)
kTimesG
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May 03, 2026, 09:40:59 PM
Merited by Niekko (1)
 #13161

I am not here to make you believe me. I am just saying what I have found out over these months. If you

Once is enough. Let's do some quick math:

- probability to flip a coin 70 times and hit  p71 key on first try: > 0
- probability to find cure for cancer: > 0
- probability to invent zero-point module free energy devices: >0
- probability for aliens to invade today: > 0
- probability for science to discover time travel between multiverses is feasible: > 0

Probability for all of above combined: > 0.

Probability for anyone to break/find "exploits"/"vulnerabilities" in three chained secure cryptographic primitives applied in a row (secp256k1 + two different uniformly distributed hash algorithms): ZERO.

It is much, much more likely to rainbow the entire secp256k1 curve points / addresses into their priv keys, than to ever find a mathematical shortcut to "shrink a range".

pls return to ur tiktok fanbase to brag on how u broke math, crypto, and by induction, the physical reality itself. And stay off that weed, it's bad for long term mental health. It may also cause anxiety and lack of basic alphabetization, while considering yourself young, beautiful, or intelligent.

At best, it can only get you on most user's ignore list, up until you only talk to yourself.

Off the grid, training pigeons to broadcast signed messages.
NUCLEAR7.1
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May 03, 2026, 10:22:16 PM
 #13162

I am not here to make you believe me. I am just saying what I have found out over these months. If you

Once is enough. Let's do some quick math:

- probability to flip a coin 70 times and hit  p71 key on first try: > 0
- probability to find cure for cancer: > 0
- probability to invent zero-point module free energy devices: >0
- probability for aliens to invade today: > 0
- probability for science to discover time travel between multiverses is feasible: > 0

Probability for all of above combined: > 0.

Probability for anyone to break/find "exploits"/"vulnerabilities" in three chained secure cryptographic primitives applied in a row (secp256k1 + two different uniformly distributed hash algorithms): ZERO.

It is much, much more likely to rainbow the entire secp256k1 curve points / addresses into their priv keys, than to ever find a mathematical shortcut to "shrink a range".

pls return to ur tiktok fanbase to brag on how u broke math, crypto, and by induction, the physical reality itself. And stay off that weed, it's bad for long term mental health. It may also cause anxiety and lack of basic alphabetization, while considering yourself young, beautiful, or intelligent.

At best, it can only get you on most user's ignore list, up until you only talk to yourself.
I didn't claim to have broken secp256k1 or any hash; this doesn't require breaking any encryption. This pattern is buried in the data itself.

I'm not interested in your statistics because what I have is something you won't understand. 
curiousNoone
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May 04, 2026, 01:36:33 AM
 #13163

I am not here to make you believe me. I am just saying what I have found out over these months. If you

Once is enough. Let's do some quick math:

- probability to flip a coin 70 times and hit  p71 key on first try: > 0
- probability to find cure for cancer: > 0
- probability to invent zero-point module free energy devices: >0
- probability for aliens to invade today: > 0
- probability for science to discover time travel between multiverses is feasible: > 0

Probability for all of above combined: > 0.

Probability for anyone to break/find "exploits"/"vulnerabilities" in three chained secure cryptographic primitives applied in a row (secp256k1 + two different uniformly distributed hash algorithms): ZERO.

It is much, much more likely to rainbow the entire secp256k1 curve points / addresses into their priv keys, than to ever find a mathematical shortcut to "shrink a range".

pls return to ur tiktok fanbase to brag on how u broke math, crypto, and by induction, the physical reality itself. And stay off that weed, it's bad for long term mental health. It may also cause anxiety and lack of basic alphabetization, while considering yourself young, beautiful, or intelligent.

At best, it can only get you on most user's ignore list, up until you only talk to yourself.
I didn't claim to have broken secp256k1 or any hash; this doesn't require breaking any encryption. This pattern is buried in the data itself.

I'm not interested in your statistics because what I have is something you won't understand. 

You must be new round here.
If anyone on here would understand it would be K*G lol.

Anyway if you found what ever your "vulnerability" is then why does puzzle 71 and upwards still have balances Huh? Embarrassed
Menowa*
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May 04, 2026, 02:12:38 AM
 #13164

You must be new round here.
If anyone on here would understand it would be K*G lol.

Anyway if you found what ever your "vulnerability" is then why does puzzle 71 and upwards still have balances Huh? Embarrassed


According to him It’s because he can’t take a loan and doesn’t have money to rent 30 GPUS to crack 71 in 4 months, even if it’s a big profitable almostzero-risk-method in his words
NUCLEAR7.1
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May 04, 2026, 02:14:09 AM
 #13165

I am not here to make you believe me. I am just saying what I have found out over these months. If you

Once is enough. Let's do some quick math:

- probability to flip a coin 70 times and hit  p71 key on first try: > 0
- probability to find cure for cancer: > 0
- probability to invent zero-point module free energy devices: >0
- probability for aliens to invade today: > 0
- probability for science to discover time travel between multiverses is feasible: > 0

Probability for all of above combined: > 0.

Probability for anyone to break/find "exploits"/"vulnerabilities" in three chained secure cryptographic primitives applied in a row (secp256k1 + two different uniformly distributed hash algorithms): ZERO.

It is much, much more likely to rainbow the entire secp256k1 curve points / addresses into their priv keys, than to ever find a mathematical shortcut to "shrink a range".

pls return to ur tiktok fanbase to brag on how u broke math, crypto, and by induction, the physical reality itself. And stay off that weed, it's bad for long term mental health. It may also cause anxiety and lack of basic alphabetization, while considering yourself young, beautiful, or intelligent.

At best, it can only get you on most user's ignore list, up until you only talk to yourself.
I didn't claim to have broken secp256k1 or any hash; this doesn't require breaking any encryption. This pattern is buried in the data itself.

I'm not interested in your statistics because what I have is something you won't understand. 

You must be new round here.
If anyone on here would understand it would be K*G lol.

Anyway if you found what ever your "vulnerability" is then why does puzzle 71 and upwards still have balances Huh? Embarrassed

Finding a weakness is not enough to find the key because I cannot reduce the range below 61 bits, and to scan this range you need resources, and this alone is a challenge. As for the remaining puzzles, the cost is higher than the reward, meaning puzzle 71 is the last key that can be solved using a my method because the cost is less than the reward. This makes it the only puzzle that is economically profitable.   
stillhere@2009
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May 04, 2026, 02:22:54 AM
 #13166

Got excited for a moment when this showed up on the screen

1PWo3JhG4WuSygVQQPHCixhGDCejxHxaEU
NUCLEAR7.1
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May 04, 2026, 02:29:58 AM
 #13167

Zielar He said

That's right. At that time I had the opportunity and permission to use very large computing power at that time... The company knew about it - otherwise I wouldn't brag about it. That power is a grain in the sand today...
====
He said That power is a grain in the sand today...

Therefore, I will try somehow to provide this power; nothing is impossible.  Cheesy
pscamillo
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May 04, 2026, 03:20:43 AM
Last edit: May 04, 2026, 10:47:48 AM by pscamillo
 #13168

It is been 6+months running keyhunt bsgs searching for 135 in random mode on 4 pc's but no luck, I wish if some one like RC or anyone searching 135 in sequential mode share his status so that we can reduce some keys.
Hi blankx4729,

Thank you for the thorough debugging — ptxas spill analysis and tracing the kang_type bug down to its root cause is real engineering work. I went through your findings and the source carefully. Quick clarifications, then a redirect:

Bug 1 (GroupCnt=64 in GpuKang.cpp): not a bug in the stock build. Both GpuKang.cpp and defs.h hardcode 64 for OLD_GPU — they match. Your kang_type=0 issue appeared because you modified defs.h to PNT=16 but the host code was still 64, causing the mismatch. That said, you exposed a real maintainability issue: the constant shouldn't be duplicated. I'll fix GpuKang.cpp to read PNT_GROUP_CNT from defs.h directly, which eliminates this whole class of mistake.

Bug 2 (defs.h hardcoded for OLD_GPU): intentional design. The 64 vs 24 split reflects empirical tuning for different GPU generations (the comment in defs.h lines 115-117 documents that 200 caused catastrophic spill on modern arch). Could be made configurable via a parallel V45_PNT_GROUP_CNT_OLD knob, but it's not wrong.

KernelB constants 128 and 8: your claim that they're "for PNT=64 only" is incorrect. They come from a fixed thread tile structure (8 kangs per sub-group, 32 threads per warp), not from PNT. The math actually works for PNT ∈ {16, 24, 32, ..., 64} — any multiple of 8 that's ≥ 16. Below 16, g8_ind degenerates to 0 always, which corrupts the walks — exactly what you observed at PNT=8. I verified the algebra for PNT=16, 24, and 64; all three produce valid kang_ind reconstructions.

Your four questions, briefly:

1. Lower PNT → higher speed: correct analysis. Less spill, more active warps per SM.
2. Real or misleading? Real for PNT ≥ 16 and multiple of 8. Misleading for PNT < 16 — faster but corrupted walks.
3. PNT for puzzle 135 with limited RAM: minor misunderstanding. PNT affects GPU register pressure only. The TAME table (your -ramlimit) lives in CPU RAM — PNT doesn't touch it. Different bottlenecks.
4. KernelB generalization: doable via templating on PNT_GROUP_CNT with compile-time tile constants. Let's discuss the design on GitHub.

Your puzzle 135 stats: dropped=0 is healthy. 955 pending is normal for that throughput, not a sign of dp being too low. dp=15 is reasonable. Worth knowing though: puzzle 135 on a single 1060 is ~27,000 years expected. The math really doesn't favor 1060-class hardware — better to validate your mods against puzzle 65 or 70 where solves complete in minutes/hours.

Next steps: this is too technical for BitcoinTalk. Could you open an issue at github.com/pscamillo/PSCKangaroo with your ptxas output, exact diff, and hardware details? I'd like to ship the GpuKang.cpp fix plus a constraint comment for KernelB, and we can discuss the generalization there. PRs welcome if you want to contribute.
napros
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May 04, 2026, 07:59:37 AM
 #13169

Hi there NUCLEAR7.1, does my prediction align with what you have been able to predict

🚀 ADAPTIVE AI RANGE DEPLOYMENT: P71
──────────────────────────────────────────────────
📦 PRECISION: 615926027D0EA7B000 → 64BBFC4FC6D6405000
             Width:  5.29% (62,462,197,061,138,292,736 keys)

📦  BALANCED: 60ECCB38D3D5B4C000 → 65285719700F334000
             Width:  6.61% (78,077,746,326,422,847,488 keys)

📦    SAFETY: 5FDDE840ACC7550000 → 66373A11971D930000
             Width:  9.92% (117,116,619,489,634,287,616 keys)

📦  COVERAGE: 5ECF054885B8F58000 → 67461D09BE2BF28000
             Width: 13.23% (156,155,492,652,845,694,976 keys)

I would be very interested to know if we are both on the same path.
No, your expectations are wrong.

Higher or Lower? (more information would be helpful for those who care)
Lower

Thank you for your response, ignore those who seek to belittle, they think they know all, at least you have someone very interested in your findings. Keep up the great work. Your insight is worthy of anyone who is interested, those that arent can just go back to their brute-force like how its been done since Adam wore tights.
kTimesG
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May 04, 2026, 08:55:50 AM
 #13170

I didn't claim to have broken secp256k1 or any hash; this doesn't require breaking any encryption. This pattern is buried in the data itself.

I'm not interested in your statistics because what I have is something you won't understand. 

The "data" **is** the output of applying secp256k1 + both hashes. By definition (and by empirical proofs): no patterns exist, otherwise both hashes are broken, and the curve must have been created in conspiracy with two separate hashes created at different times by different experts on different continents for different purposes. All of this just so you can see some pattern 30 years later.

Encryption is not used in Bitcoin. There goes your fundamental understanding of things.

No one is interested in even attempting to begin understanding what you "have", because the mathematical conditions of you "having" anything do not exist. I'm not talking about a very small probability: it is an absolute zero, or a logical impossibility.

Off the grid, training pigeons to broadcast signed messages.
nomachine
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May 04, 2026, 10:25:31 AM
 #13171

This pattern is buried in the data itself.


Bro, you just dropped the most crypto-mystic sh*t I’ve ever heard. “I didn’t break the curve, the pattern was already buried in the data.” Lips sealed

secp256k1 doesn’t have any “hidden patterns.” It’s a cold, heartless mathematical monster that’s been wrecking billionaires, PhDs, and supercomputers for 15 years straight while sipping espresso and flipping everybody off.

That’s the same energy as some dude on Venice Beach claiming the CIA hid free Bitcoin in his tinfoil hat. You found a “vulnerability” that doesn’t even require breaking anything? That’s wild.

The Bitcoin puzzle scene is already a whole circus full of main characters just like you, and you still managed to squeeze in and snatch the aux cord. We got quantum bros, time-travel bros, “I reversed the hash with my mind” bros… and now we got the “the data spoke to me spiritually” bro.

Legend. Now go touch some grass. Roll Eyes

I went fishing again. Greetings.   Grin




BTC: bc1qdwnxr7s08xwelpjy3cc52rrxg63xsmagv50fa8
mistery_woman23
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May 04, 2026, 10:41:45 AM
 #13172

To make life easier to everyone and short this puzzle : 6D4.
You know the expression: take it or leave it...
Diaghilev
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May 04, 2026, 10:58:37 AM
 #13173

...
What do you mean by "a private miner"? A miner with a private aka non-public mempool or what else?

I'm not aware that ViaBTC has a public service with a private mempool.

You also don't say anything about which puzzle solution's transaction you are talking about. A withdrawal of coins with a solution for puzzle #135 can be broadcasted to public mempools. A withdrawal of coins with a solution for puzzle #71 needs to be broadcasted non-publicly otherwise bots can steal the public key from the transaction in public mempools and find private key in seconds and then the RBF transaction replacement war begins.
Sorry for my poor English. I already understood that Via BTC won't be able to conduct a transaction secretly in their pool. They don't have that functionality. I was referring to the 71 puzzles.
Akito S. M. Hosana
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May 04, 2026, 10:59:41 AM
Last edit: May 04, 2026, 11:13:12 AM by Akito S. M. Hosana
 #13174

This pattern is buried in the data itself.
You found a “vulnerability” that doesn’t even require breaking anything? That’s wild.


This whole thread feels like a support group for people who just discovered what a hash is yesterday and woke up today thinking they can rewrite the protocol.

No one is interested in even attempting to begin understanding what you "have", because the mathematical conditions of you "having" anything do not exist. I'm not talking about a very small probability: it is an absolute zero, or a logical impossibility.

Every other post starts with “what if…” and then goes straight into something that’s been mathematically impossible since they installed their first wallet a year earlier.

At this point it’s not a discussion, it’s a hallucination convention. Tongue
stillhere@2009
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May 04, 2026, 01:55:39 PM
 #13175

There is only one way to solve the 71 currently
abdenn0ur
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May 04, 2026, 07:10:16 PM
 #13176

There is only one way to solve the 71 currently

Let me guess, that's scanning the whole range sequentially?  Grin
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May 06, 2026, 06:36:53 AM
Last edit: May 06, 2026, 09:58:52 PM by Mr. Big
 #13177

It is whispered that because q-bits are super positioned, ( exist and identically react while occupying two distinct places at the same and in the same dimention without lag) there are specific points in elliptic curves, that, when used as a computational base allow for a "variable X" essemtially spying on the other side of  the infinity point by whats described as a  "vector inversioned superpositional inference method"  concluding in an instant path to k from K divided by GX.
Thats the quantum attack to be weary of. I firnly believe current cryptographic methods need to be abandoned and completely rebuilt.



Grin For old times sake  Grin
   1952 unique keys inside range for challenge no. 71,  with specified "1PWo3JeB"prefix.
Code:
4a8e2c7d91a1d769ba
5521eb4a0196580e78
63fa6819fe39794681
4d5e1179c251b4Fb93
4d58a60ce9e20a29d6
5f4c93ae8d90c322a3
7ed65229510a116613
704492a6fa78c50a28
7f208c1b521cf27ccd
6cd9df8794fa5454a3
65a6156db594d75aad
4efb66567f9b78d8ed
56812b17fa67289ea6
6320db482c65be66d9
50564b829d19518970
4d5e524ea088716c5e
51656975dce7a147f9
49bf6bd02cc77dd4f6
59e48ff9d765b52bF4
7044690580a11283F6
49e5c8075d1a5222d2
6a9de32e26b3b5ea5e
4dd021dc3146f0fd3d
5eb319bbd72ac43341
7cfb3e2c385c695b6a
6bab63c20faefc2915
794009585d9eF9d703
4d6be34809cd6bd649
7216fa67da908d879e
4718ae2772c7862bCC
6b5484dc12918235a6
4d8287bdf9477c4080
57b2a93e090f215a05
5c154abbb9e6a13899
4d5c24c6983d4c2715
4d5e955a80aa7edec8
4d5a85df4e27b109b3
59e22483a51640ddb8
477dad71cd5a1e4f08
581183e54759733917
50d0443c5b9b5be254
4d5f630fe4b50c3f4c
4b6753af3291d6e07F
5c19bd4a5f48b00083
433fe979bcffece552
6dae05681a4dbbeabf
42535757362f46b20c
79bbba939f04823763
75e11355b0d1F6c6bb
5fc8355aff2a2b5b07
63624f75976adb27c6
40f9618f6b8d96ea7b
4be5b9457d2a017bc6
62372783eb0d5b139b
4d4f7526c9becc248e
4d97b4045f63a1c880
79d2d21676704cd4ca
44f66ee8c4da649a70
72f2baffa2232cb651
492b6390acc6a9db8d
4d9e1ca21efc7f586e
43979e70f25fe7d013
7286ee30e7d08b765e
440f553ad3561ae395
6141ccf95ac1d38918
45886e5ee4b583285d
58e2466602f7b7c161
61fd4ed464b5b0583b
4085cd060eb926a10c
4d542d7e99ca97e9d6
7773b3cd233f797b0a
68f8b8251e6b281d48
78fae3134fa293167F
4d944d30e05C7c5778
719ee6ae5623c5e39F
696c5cb58201a0c641
7047e7ae9329b8d9b2
4d59775b4c76c078f7
473bc0c8d3b20736e5
52a30fd09f9a1383ce
6d763aec1505dc0e43
72859dcfe1f50fd7a9
5a66ba5d16f4ad249a
5b2c42635dced8c777
4d5a4135a2101ec201
59e636e059dfa07dc8
4d9e5327ed9e8fe2fc
7499a89e8b98d83261
549a2a0ad9e53c735a
61a365ef830798cf6b
4de3fe23595df223e0
4d5d9Fc32506a51d69
4530315ecdcb1971b1
4d6725a7f0cf633175
4d672b1d6ffe535388
6bb032e75bfdf2080a
6393379358e9592e1c
4f9ce9536465869338
45c00d70b9496F61ae
6c2f0ae3f95eed29de
4d81c56e1f3a1e241a
581354fe7a2eb36e76
654f884c24e1584626
67384b0b546d5639cd
4dc3fb5a83dc1ec946
4d9f218175f9ea015F
7ef3ca0cdc30806a80
5229d2b749657cb358
732e66881939227adf
4d65a42918a96a5e81
60c78f8b1eddecd780
48c1674cd77fecc2e6
58d2532f94e22fc02c
635c17edce59463b27
4315612c50a0311306
59e466b284fb1b433c
4d678e3ed650824c40
4d7ed52b03c1c8dad8
4dc3f073eba941f363
4d9ef0F909815cc3ac
4819549216c9a7980a
4d5dfb68e58ae5a4c4
68471da1e08a3ff262
79ba6c614991c96a5e
4d245e5f413327cF45
7922b63ce2d777dda3
4d6a79fe7d655a92c1
403fc650bea94a7aed
6ea29ba6c56fc15ef3
4d83e531af35d63b4a
7e8f17eecef01049b1
7194bfb462b13c57de
4d650a7d64ecb78da4
6073d2c2dbaec03bd9
4d6484cf9748e4a205
4d6dbe26e5a0fF2193
4b91d89cda177a9dd7
6C92bba49F433d126F
7331620b3a4a295425
7db75427f8bc06df34
69ed74f05faa6ab964
4d6a43e81f188c7d6f
649e113694a06f4c59
6C33ad1237b45ddc40
61ed8fa0355bf23ebf
5b7e5541fed727c6b6
59e76ca804293a0bff
58df6399196c640cb9
45086ac6F06225a3b8
59bf9d393676d157fF
4d609c9cc900de0534
5ca0e40ea3c9e3aac7
4d5e9d24dc5d57a82f
7728c45d49d52c2e44
730603d95d3ad8e97f
4daa689cf9aede2a8a
4d67574f46a77114f8
4f9e7d3228986b1235
45884fc202cc8fd23c
6fd6b6f8ad80b33c2d
458a236bc891ebe1d8
59e492e42f3b60ee08
4d5ed74c1a594d9054
4f618e1365d351a963
67b90d1c1d2ccb7d22
54946203d5a2821c80
7b636ca94ca7232d17
56846e3d98edf8e131
5d2f2C5933d2eab585
5952006c5863dca2ca
4167dbc988b5b5415c
740b848845284aa205
4238c773edde33a909
649a86c3ea63875d93
4589ff38ada0b6f41e
51763291887c62a019
59e4536b341c5e64b1
7433082ed80aa32af9
4aa928bafe9bc489bc
7d478b110cb8d3f0F1
79c2e00dd7a8fc719F
53e01a12ae8cb0e4de
4288d48265bad63d22
42e2b1dbc58b02f496
58df0309b1b68aede5
4d691513d6669244c1
5d62b9a575a25cf35a
72dad20d75ddf389a9
4d5dc780af24516520
77dd6a95641973a038
6bfc34b6a2efbbf27c
47700a7d88ea69a36d
4d653aa9d10d174822
628a724ed1642621fb
59fad7d668807Fb204
703b231ff1ba6494b5
78983984f6210bc823
778f871aa1600909af
580c7aa805b3a7a9e3
519959289e8876cab0
4d66e5b183d720Ff59
6a9b686e948ca326F2
7a8a2ffb52e48b553a
566f6661e1f83cb2e0
73227067a50cc4d7c9
4d62339d3f7dd873b3
7159de6b75bd1edba7
671f6784a98C1553f1
6c350fec1e75f28301
4c001896d3654447df
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nomachine
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May 06, 2026, 07:02:59 PM
 #13178

It is whispered that because q-bits are super positioned, ( exist and identically react while occupying two distinct places at the same and in the same dimention without lag) there are specific points in elliptic curves, that, when used as a computational base allow for a "variable X" essemtially spying on the other side of  the infinity point by whats described as a  "vector inversioned superpositional inference method"  concluding in an instant path to k from K divided by GX.
Thats the quantum attack to be weary of. I firnly believe current cryptographic methods need to be abandoned and completely rebuilt.

Darling, hand on chest, swirling my oat milk matcha latte, you can't just drop 'vector inversioned superpositional inference' on us like that at brunch. We're not even caffeinated yet! So, q-bits are out here playing multidimensional hide-and-seek across infinity points on the elliptic curve, spying on the private key like some quantum paparazzo with a broken telephoto lens? And poor little secp256k1 is just sitting there with secret hidden patterns, waiting to get absolutely railed by Shor's algorithm's edgy goth cousin? The only thing getting inverted at this table is my eyes. Current quantum computers are basically overpriced toasters that can barely factor 15 without throwing a tantrum and needing cryogenic babysitting. The day one of them actually threatens Bitcoin is the day I start taking crypto advice from my Reiki healer. Until then, maybe let's pump the brakes on burning it all down and rebuilding cryptography from the sacred geometry of Atlantis. Pass the avocado toast. I'm just a simple fisherman out here catching real fish while these magical cubits are busy exposing their own fantasy. The sky is, shockingly, not falling… so I’m going back to my boat.   Grin




BTC: bc1qdwnxr7s08xwelpjy3cc52rrxg63xsmagv50fa8
Akito S. M. Hosana
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May 06, 2026, 07:26:30 PM
 #13179

The day one of them actually threatens Bitcoin is the day I start taking crypto advice from my Reiki healer. Until then, maybe let's pump the brakes on burning it all down and rebuilding cryptography from the sacred geometry of Atlantis. Pass the avocado toast. I'm just a simple fisherman out here catching real fish while these magical cubits are busy exposing their own fantasy. The sky is, shockingly, not falling… so I’m going back to my boat.   Grin



Your boat? Solid choice. Just make sure it's not a wooden one when the quantum tide comes in and turns everything into probability soup leans in, whispers while the matcha swirls into a smiling face
The fish are quantum too, my simple fisherman friend. They know the private keys. They're laughing at us.  Tongue

NUCLEAR7.1
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May 07, 2026, 03:19:56 AM
 #13180

What do you think of my method?  Huh
The pattern I have makes the key approximately ±3% Shocked further away from the actual key; that's why I consider it a vulnerability.  

Code:
#   | Original keys              | Lower Bound ▼               | Upper Bound ▲
----|-----------------------------|-----------------------------|-----------------------------
1   | 1                           | 1                           | 1
2   | 3                           | 3                           | 3
3   | 7                           | 7                           | 7
4   | 8                           | 8                           | 8
5   | 21                          | 21                          | 21
6   | 49                          | ▼48                         | 50▲
7   | 76                          | ▼74                         | 78▲
8   | 224                         | ▼219                        | 229▲
9   | 467                         | ▼456                        | 478▲
10  | 514                         | ▼502                        | 526▲
11  | 1155                        | ▼1129                       | 1182▲
12  | 2683                        | ▼2622                       | 2745▲
13  | 5216                        | ▼5097                       | 5337▲
14  | 10544                       | ▼10304                      | 10790▲
15  | 26867                       | ▼26255                      | 27493▲
16  | 51510                       | ▼50337                      | 52710▲
17  | 95823                       | ▼93642                      | 98055▲
18  | 198669                      | ▼194147                     | 203297▲
19  | 357535                      | ▼349397                     | 365863▲
20  | 863317                      | ▼843666                     | 883426▲
21  | 1811764                     | ▼1770523                    | 1853965▲
22  | 3007503                     | ▼2939044                    | 3077557▲
23  | 5598802                     | ▼5471358                    | 5729215▲
24  | 14428676                    | ▼14100239                   | 14764763▲
25  | 33185509                    | ▼32430115                   | 33958499▲
26  | 54538862                    | ▼53297406                   | 55809235▲
27  | 111949941                   | ▼109401649                  | 114557590▲
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61  | 1425787542618654982         | ▼1393332655822068736        | 1458998400842866688▲
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63  | 8993229949524469768         | ▼8788519043289858048        | 9202709185317789696▲
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65  | 30568377312064202855        | ▼29872556093570277376       | 31280406288829296640▲
66  | 46346217550346335726        | ▼45291248840713871360       | 47425759637988704256▲
67  | 132656943602386256302       | ▼129637302906487652352      | 135746920765705076736▲
68  | 219898266213316039825       | ▼214892770567301988352      | 225020354830774009856▲
69  | 297274491920375905804       | ▼290507698345318711296      | 304198904365942308864▲
70  | 970436974005023696481       | ▼948347131589435588608      | 993041354949481070592▲
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