is good result for 1650ti?

Not much, on a 1650Ti you should be able to perform about 2 million point additions per millisecond.

Found Hidden Patterns in Private Keys:
https://github.com/syedsohailahmedsam/BTC_32_PUZZLE.git


This is not a blind brute-force tool.
It is an intelligently constrained search engine for keys that might satisfy the structure of Puzzles.
While still computationally difficult, filtering improves performance and feasibility.

🔧 Want to adjust the rules? Just modify the is_valid_hex_key() logic in either script.

Custom Filtering Rules were derived from previously found private keys of puzzles 1-70. You can see found private keys in "numbers.txt".

In our analysis of all known solved Bitcoin cryptographic puzzles (Puzzles 1–70), we discovered that certain patterns have never appeared in any of the revealed private keys.

❌ "No private keys have..."
We exclude any hex private key that contains:

❌ Triple Characters
No valid puzzle solution has ever had three identical hex characters in a row.
Example: "aaa", "666", "fff", "000" → all are invalid

❌ Repeated Double Pairs
While a key might have a pair like "aa" or "ff", no key ever repeats the same pair.
Example: "112211" → "11" appears twice → invalid

❌ Double Characters from a Restricted Set (6, 9, a, d)
Based on prior solutions, no valid key has ever had a double of these characters.
Disallowed patterns: "66", "99", "aa", "dd"

🧠 Why This Matters
These exclusions are not random — they are based on actual solved keys from the Bitcoin Puzzle series.

Zero to negligible instances of these patterns have appeared in the first 70 puzzles.

This drastically reduces the keyspace, making brute-force search more intelligent and focused.

📌 Summary Line
“No private keys have triples, repeated double pairs, or double 6/9/a/d — filtered to match historical puzzle patterns.”

Paths of first 70 private keys:
All paths from root for each Private Key:
Private Key: 1
Path: [1]
Depth: 0

Private Key: 3
Path: [1, 3]
Depth: 1

Private Key: 7
Path: [1, 3, 7]
Depth: 2

Private Key: 8
Path: [1, 2, 4, 8]
Depth: 3

Private Key: 21
Path: [1, 2, 5, 10, 21]
Depth: 4

Private Key: 49
Path: [1, 3, 6, 12, 24, 49]
Depth: 5

Private Key: 76
Path: [1, 2, 4, 9, 19, 38, 76]
Depth: 6

Private Key: 224
Path: [1, 3, 7, 14, 28, 56, 112, 224]
Depth: 7

Private Key: 467
Path: [1, 3, 7, 14, 29, 58, 116, 233, 467]
Depth: 8

Private Key: 514
Path: [1, 2, 4, 8, 16, 32, 64, 128, 257, 514]
Depth: 9

Private Key: 1155
Path: [1, 2, 4, 9, 18, 36, 72, 144, 288, 577, 1155]
Depth: 10

Private Key: 2683
Path: [1, 2, 5, 10, 20, 41, 83, 167, 335, 670, 1341, 2683]
Depth: 11

Private Key: 5216
Path: [1, 2, 5, 10, 20, 40, 81, 163, 326, 652, 1304, 2608, 5216]
Depth: 12

Private Key: 10544
Path: [1, 2, 5, 10, 20, 41, 82, 164, 329, 659, 1318, 2636, 5272, 10544]
Depth: 13

Private Key: 26867
Path: [1, 3, 6, 13, 26, 52, 104, 209, 419, 839, 1679, 3358, 6716, 13433, 26867]
Depth: 14

Private Key: 51510
Path: [1, 3, 6, 12, 25, 50, 100, 201, 402, 804, 1609, 3219, 6438, 12877, 25755, 51510]
Depth: 15

Private Key: 95823
Path: [1, 2, 5, 11, 23, 46, 93, 187, 374, 748, 1497, 2994, 5988, 11977, 23955, 47911, 95823]
Depth: 16

Private Key: 198669
Path: [1, 3, 6, 12, 24, 48, 97, 194, 388, 776, 1552, 3104, 6208, 12416, 24833, 49667, 99334, 198669]
Depth: 17

Private Key: 357535
Path: [1, 2, 5, 10, 21, 43, 87, 174, 349, 698, 1396, 2793, 5586, 11172, 22345, 44691, 89383, 178767, 357535]
Depth: 18

Private Key: 863317
Path: [1, 3, 6, 13, 26, 52, 105, 210, 421, 843, 1686, 3372, 6744, 13489, 26978, 53957, 107914, 215829, 431658, 863317]
Depth: 19

Private Key: 1811764
Path: [1, 3, 6, 13, 27, 55, 110, 221, 442, 884, 1769, 3538, 7077, 14154, 28308, 56617, 113235, 226470, 452941, 905882, 1811764]
Depth: 20

Private Key: 3007503
Path: [1, 2, 5, 11, 22, 45, 91, 183, 367, 734, 1468, 2937, 5874, 11748, 23496, 46992, 93984, 187968, 375937, 751875, 1503751, 3007503]
Depth: 21

Private Key: 5598802
Path: [1, 2, 5, 10, 21, 42, 85, 170, 341, 683, 1366, 2733, 5467, 10935, 21870, 43740, 87481, 174962, 349925, 699850, 1399700, 2799401, 5598802]
Depth: 22

Private Key: 14428676
Path: [1, 3, 6, 13, 27, 55, 110, 220, 440, 880, 1761, 3522, 7045, 14090, 28181, 56362, 112724, 225448, 450896, 901792, 1803584, 3607169, 7214338, 14428676]
Depth: 23

Private Key: 33185509
Path: [1, 3, 7, 15, 31, 63, 126, 253, 506, 1012, 2025, 4050, 8101, 16203, 32407, 64815, 129630, 259261, 518523, 1037047, 2074094, 4148188, 8296377, 16592754, 33185509]
Depth: 24

Private Key: 54538862
Path: [1, 3, 6, 13, 26, 52, 104, 208, 416, 832, 1664, 3328, 6657, 13315, 26630, 53260, 106521, 213042, 426084, 852169, 1704339, 3408678, 6817357, 13634715, 27269431, 54538862]
Depth: 25

Private Key: 111949941
Path: [1, 3, 6, 13, 26, 53, 106, 213, 427, 854, 1708, 3416, 6832, 13665, 27331, 54663, 109326, 218652, 437304, 874608, 1749217, 3498435, 6996871, 13993742, 27987485, 55974970, 111949941]
Depth: 26

Private Key: 227634408
Path: [1, 3, 6, 13, 27, 54, 108, 217, 434, 868, 1736, 3473, 6946, 13893, 27787, 55574, 111149, 222299, 444598, 889196, 1778393, 3556787, 7113575, 14227150, 28454301, 56908602, 113817204, 227634408]
Depth: 27

Private Key: 400708894
Path: [1, 2, 5, 11, 23, 47, 95, 191, 382, 764, 1528, 3057, 6114, 12228, 24457, 48914, 97829, 195658, 391317, 782634, 1565269, 3130538, 6261076, 12522152, 25044305, 50088611, 100177223, 200354447, 400708894]
Depth: 28

Private Key: 1033162084
Path: [1, 3, 7, 15, 30, 61, 123, 246, 492, 985, 1970, 3941, 7882, 15764, 31529, 63059, 126118, 252236, 504473, 1008947, 2017894, 4035789, 8071578, 16143157, 32286315, 64572630, 129145260, 258290521, 516581042, 1033162084]
Depth: 29

Private Key: 2102388551
Path: [1, 3, 7, 15, 31, 62, 125, 250, 501, 1002, 2004, 4009, 8019, 16039, 32079, 64159, 128319, 256639, 513278, 1026556, 2053113, 4106227, 8212455, 16424910, 32849821, 65699642, 131399284, 262798568, 525597137, 1051194275, 2102388551]
Depth: 30

Private Key: 3093472814
Path: [1, 2, 5, 11, 23, 46, 92, 184, 368, 737, 1475, 2950, 5900, 11800, 23601, 47202, 94405, 188810, 377621, 755242, 1510484, 3020969, 6041939, 12083878, 24167756, 48335512, 96671025, 193342050, 386684101, 773368203, 1546736407, 3093472814]
Depth: 31

Private Key: 7137437912
Path: [1, 3, 6, 13, 26, 53, 106, 212, 425, 850, 1701, 3403, 6806, 13613, 27227, 54454, 108908, 217817, 435634, 871269, 1742538, 3485077, 6970154, 13940308, 27880616, 55761233, 111522467, 223044934, 446089869, 892179739, 1784359478, 3568718956, 7137437912]
Depth: 32

Private Key: 14133072157
Path: [1, 3, 6, 13, 26, 52, 105, 210, 421, 842, 1684, 3369, 6739, 13478, 26956, 53913, 107826, 215653, 431307, 862614, 1725228, 3450457, 6900914, 13801828, 27603656, 55207313, 110414626, 220829252, 441658504, 883317009, 1766634019, 3533268039, 7066536078, 14133072157]
Depth: 33

Private Key: 20112871792
Path: [1, 2, 4, 9, 18, 37, 74, 149, 299, 599, 1198, 2397, 4795, 9590, 19181, 38362, 76724, 153449, 306898, 613796, 1227592, 2455184, 4910369, 9820738, 19641476, 39282952, 78565905, 157131810, 314263621, 628527243, 1257054487, 2514108974, 5028217948, 10056435896, 20112871792]
Depth: 34

Private Key: 42387769980
Path: [1, 2, 4, 9, 19, 39, 78, 157, 315, 631, 1263, 2526, 5053, 10106, 20212, 40424, 80848, 161696, 323393, 646786, 1293572, 2587144, 5174288, 10348576, 20697153, 41394306, 82788613, 165577226, 331154452, 662308905, 1324617811, 2649235623, 5298471247, 10596942495, 21193884990, 42387769980]
Depth: 35

Private Key: 100251560595
Path: [1, 2, 5, 11, 23, 46, 93, 186, 373, 746, 1493, 2987, 5975, 11950, 23901, 47803, 95607, 191214, 382429, 764858, 1529717, 3059434, 6118869, 12237739, 24475478, 48950957, 97901914, 195803829, 391607658, 783215317, 1566430634, 3132861268, 6265722537, 12531445074, 25062890148, 50125780297, 100251560595]
Depth: 36

Private Key: 146971536592
Path: [1, 2, 4, 8, 17, 34, 68, 136, 273, 547, 1095, 2190, 4380, 8760, 17520, 35040, 70081, 140162, 280325, 560651, 1121303, 2242607, 4485215, 8970430, 17940861, 35881722, 71763445, 143526891, 287053782, 574107564, 1148215129, 2296430259, 4592860518, 9185721037, 18371442074, 36742884148, 73485768296, 146971536592]
Depth: 37

Private Key: 323724968937
Path: [1, 2, 4, 9, 18, 37, 75, 150, 301, 602, 1205, 2411, 4823, 9647, 19295, 38591, 77182, 154364, 308728, 617456, 1234912, 2469825, 4939651, 9879302, 19758604, 39517208, 79034416, 158068832, 316137664, 632275329, 1264550659, 2529101319, 5058202639, 10116405279, 20232810558, 40465621117, 80931242234, 161862484468, 323724968937]
Depth: 38

Private Key: 1003651412950
Path: [1, 3, 7, 14, 29, 58, 116, 233, 467, 934, 1869, 3738, 7477, 14955, 29911, 59822, 119644, 239289, 478578, 957156, 1914313, 3828626, 7657252, 15314505, 30629010, 61258020, 122516041, 245032083, 490064166, 980128332, 1960256665, 3920513331, 7841026663, 15682053327, 31364106654, 62728213309, 125456426618, 250912853237, 501825706475, 1003651412950]
Depth: 39

Private Key: 1458252205147
Path: [1, 2, 5, 10, 21, 42, 84, 169, 339, 679, 1358, 2716, 5432, 10864, 21729, 43459, 86918, 173837, 347674, 695348, 1390697, 2781395, 5562790, 11125581, 22251162, 44502325, 89004651, 178009302, 356018604, 712037209, 1424074419, 2848148838, 5696297676, 11392595352, 22785190705, 45570381410, 91140762821, 182281525643, 364563051286, 729126102573, 1458252205147]
Depth: 40

Private Key: 2895374552463
Path: [1, 2, 5, 10, 21, 42, 84, 168, 337, 674, 1348, 2696, 5393, 10786, 21572, 43144, 86288, 172577, 345155, 690311, 1380622, 2761244, 5522488, 11044977, 22089954, 44179909, 88359819, 176719638, 353439276, 706878552, 1413757105, 2827514211, 5655028422, 11310056845, 22620113691, 45240227382, 90480454764, 180960909528, 361921819057, 723843638115, 1447687276231, 2895374552463]
Depth: 41

Private Key: 7409811047825
Path: [1, 3, 6, 13, 26, 53, 107, 215, 431, 862, 1725, 3450, 6900, 13801, 27603, 55207, 110414, 220829, 441659, 883318, 1766636, 3533273, 7066546, 14133092, 28266185, 56532371, 113064743, 226129487, 452258975, 904517950, 1809035900, 3618071800, 7236143601, 14472287202, 28944574405, 57889148811, 115778297622, 231556595244, 463113190489, 926226380978, 1852452761956, 3704905523912, 7409811047825]
Depth: 42

Private Key: 15404761757071
Path: [1, 3, 7, 14, 28, 56, 112, 224, 448, 896, 1793, 3586, 7173, 14346, 28693, 57387, 114774, 229548, 459097, 918195, 1836390, 3672781, 7345562, 14691125, 29382251, 58764502, 117529005, 235058010, 470116020, 940232040, 1880464081, 3760928163, 7521856326, 15043712653, 30087425306, 60174850613, 120349701227, 240699402454, 481398804908, 962797609816, 1925595219633, 3851190439267, 7702380878535, 15404761757071]
Depth: 43

Private Key: 19996463086597
Path: [1, 2, 4, 9, 18, 36, 72, 145, 290, 581, 1163, 2327, 4655, 9311, 18623, 37246, 74492, 148985, 297970, 595941, 1191882, 2383764, 4767528, 9535056, 19070113, 38140226, 76280453, 152560906, 305121812, 610243624, 1220487248, 2440974497, 4881948995, 9763897991, 19527795983, 39055591966, 78111183932, 156222367864, 312444735728, 624889471456, 1249778942912, 2499557885824, 4999115771649, 9998231543298, 19996463086597]
Depth: 44

Private Key: 51408670348612
Path: [1, 2, 5, 11, 23, 46, 93, 187, 374, 748, 1496, 2992, 5984, 11969, 23939, 47878, 95756, 191512, 383024, 766048, 1532097, 3064195, 6128391, 12256782, 24513564, 49027128, 98054257, 196108514, 392217028, 784434056, 1568868113, 3137736227, 6275472454, 12550944909, 25101889818, 50203779637, 100407559274, 200815118549, 401630237098, 803260474197, 1606520948394, 3213041896788, 6426083793576, 12852167587153, 25704335174306, 51408670348612]
Depth: 45

Private Key: 119666659114170
Path: [1, 3, 6, 13, 27, 54, 108, 217, 435, 870, 1741, 3482, 6965, 13931, 27862, 55724, 111448, 222896, 445793, 891586, 1783172, 3566344, 7132688, 14265377, 28530754, 57061509, 114123019, 228246038, 456492077, 912984154, 1825968309, 3651936618, 7303873236, 14607746473, 29215492947, 58430985895, 116861971791, 233723943582, 467447887164, 934895774329, 1869791548658, 3739583097317, 7479166194635, 14958332389271, 29916664778542, 59833329557085, 119666659114170]
Depth: 46

Private Key: 191206974700443
Path: [1, 2, 5, 10, 21, 43, 86, 173, 347, 695, 1391, 2782, 5564, 11129, 22259, 44518, 89037, 178075, 356150, 712301, 1424602, 2849205, 5698411, 11396823, 22793647, 45587295, 91174590, 182349180, 364698361, 729396723, 1458793447, 2917586894, 5835173788, 11670347576, 23340695153, 46681390307, 93362780615, 186725561230, 373451122461, 746902244923, 1493804489847, 2987608979694, 5975217959388, 11950435918777, 23900871837555, 47801743675110, 95603487350221, 191206974700443]
Depth: 47

Private Key: 409118905032525
Path: [1, 2, 5, 11, 23, 46, 93, 186, 372, 744, 1488, 2976, 5953, 11906, 23813, 47627, 95255, 190510, 381021, 762043, 1524086, 3048173, 6096346, 12192693, 24385387, 48770774, 97541548, 195083096, 390166192, 780332384, 1560664768, 3121329536, 6242659073, 12485318146, 24970636293, 49941272586, 99882545173, 199765090347, 399530180695, 799060361391, 1598120722783, 3196241445566, 6392482891133, 12784965782266, 25569931564532, 51139863129065, 102279726258131, 204559452516262, 409118905032525]
Depth: 48

Private Key: 611140496167764
Path: [1, 2, 4, 8, 17, 34, 69, 138, 277, 555, 1111, 2223, 4446, 8893, 17786, 35573, 71146, 142292, 284584, 569168, 1138337, 2276675, 4553351, 9106703, 18213406, 36426812, 72853624, 145707248, 291414497, 582828994, 1165657989, 2331315979, 4662631959, 9325263918, 18650527837, 37301055674, 74602111348, 149204222697, 298408445394, 596816890788, 1193633781577, 2387267563155, 4774535126310, 9549070252621, 19098140505242, 38196281010485, 76392562020970, 152785124041941, 305570248083882, 611140496167764]
Depth: 49

Private Key: 2058769515153876
Path: [1, 3, 7, 14, 29, 58, 117, 234, 468, 936, 1872, 3744, 7489, 14979, 29959, 59918, 119836, 239672, 479344, 958689, 1917378, 3834757, 7669514, 15339028, 30678056, 61356112, 122712225, 245424451, 490848902, 981697805, 1963395610, 3926791220, 7853582440, 15707164880, 31414329760, 62828659520, 125657319040, 251314638080, 502629276160, 1005258552321, 2010517104642, 4021034209284, 8042068418569, 16084136837139, 32168273674279, 64336547348558, 128673094697117, 257346189394234, 514692378788469, 1029384757576938, 2058769515153876]
Depth: 50

Private Key: 4216495639600700
Path: [1, 3, 7, 14, 29, 59, 119, 239, 479, 958, 1917, 3834, 7669, 15339, 30679, 61358, 122716, 245432, 490864, 981729, 1963458, 3926917, 7853835, 15707670, 31415340, 62830681, 125661362, 251322724, 502645449, 1005290899, 2010581798, 4021163596, 8042327193, 16084654386, 32169308773, 64338617547, 128677235095, 257354470190, 514708940380, 1029417880761, 2058835761523, 4117671523047, 8235343046095, 16470686092190, 32941372184380, 65882744368760, 131765488737521, 263530977475043, 527061954950087, 1054123909900175, 2108247819800350, 4216495639600700]
Depth: 51

Private Key: 6763683971478124
Path: [1, 3, 6, 12, 24, 48, 96, 192, 384, 768, 1537, 3075, 6151, 12303, 24606, 49212, 98424, 196849, 393698, 787396, 1574792, 3149585, 6299171, 12598343, 25196686, 50393372, 100786745, 201573490, 403146980, 806293960, 1612587921, 3225175843, 6450351687, 12900703375, 25801406751, 51602813503, 103205627006, 206411254012, 412822508024, 825645016049, 1651290032099, 3302580064198, 6605160128396, 13210320256793, 26420640513586, 52841281027172, 105682562054345, 211365124108691, 422730248217382, 845460496434765, 1690920992869531, 3381841985739062, 6763683971478124]
Depth: 52

Private Key: 9974455244496707
Path: [1, 2, 4, 8, 17, 35, 70, 141, 283, 566, 1133, 2267, 4535, 9071, 18143, 36286, 72573, 145147, 290294, 580589, 1161179, 2322358, 4644717, 9289435, 18578870, 37157741, 74315482, 148630965, 297261930, 594523861, 1189047723, 2378095446, 4756190893, 9512381786, 19024763573, 38049527147, 76099054294, 152198108589, 304396217178, 608792434356, 1217584868712, 2435169737425, 4870339474851, 9740678949703, 19481357899407, 38962715798815, 77925431597630, 155850863195261, 311701726390522, 623403452781044, 1246806905562088, 2493613811124176, 4987227622248353, 9974455244496707]
Depth: 53

Private Key: 30045390491869460
Path: [1, 3, 6, 13, 26, 53, 106, 213, 426, 853, 1707, 3415, 6831, 13663, 27326, 54652, 109304, 218608, 437217, 874435, 1748871, 3497743, 6995487, 13990975, 27981950, 55963900, 111927801, 223855603, 447711206, 895422413, 1790844827, 3581689654, 7163379309, 14326758619, 28653517238, 57307034476, 114614068953, 229228137907, 458456275815, 916912551631, 1833825103263, 3667650206527, 7335300413054, 14670600826108, 29341201652216, 58682403304432, 117364806608865, 234729613217730, 469459226435460, 938918452870920, 1877836905741841, 3755673811483682, 7511347622967365, 15022695245934730, 30045390491869460]
Depth: 54

Private Key: 44218742292676575
Path: [1, 2, 4, 9, 19, 39, 78, 157, 314, 628, 1256, 2513, 5027, 10054, 20108, 40216, 80433, 160866, 321733, 643467, 1286934, 2573869, 5147739, 10295478, 20590956, 41181912, 82363825, 164727651, 329455303, 658910606, 1317821213, 2635642426, 5271284853, 10542569707, 21085139414, 42170278828, 84340557656, 168681115313, 337362230626, 674724461252, 1349448922505, 2698897845011, 5397795690023, 10795591380047, 21591182760095, 43182365520191, 86364731040383, 172729462080767, 345458924161535, 690917848323071, 1381835696646142, 2763671393292285, 5527342786584571, 11054685573169143, 22109371146338287, 44218742292676575]
Depth: 55

Private Key: 138245758910846492
Path: [1, 3, 7, 15, 30, 61, 122, 245, 491, 982, 1964, 3929, 7858, 15716, 31433, 62866, 125733, 251467, 502935, 1005870, 2011740, 4023481, 8046962, 16093924, 32187849, 64375698, 128751396, 257502792, 515005584, 1030011168, 2060022337, 4120044675, 8240089351, 16480178703, 32960357406, 65920714812, 131841429625, 263682859250, 527365718501, 1054731437002, 2109462874005, 4218925748011, 8437851496023, 16875702992046, 33751405984093, 67502811968186, 135005623936373, 270011247872747, 540022495745494, 1080044991490988, 2160089982981976, 4320179965963952, 8640359931927905, 17280719863855811, 34561439727711623, 69122879455423246, 138245758910846492]
Depth: 56

Private Key: 199976667976342049
Path: [1, 2, 5, 11, 22, 44, 88, 177, 355, 710, 1420, 2841, 5683, 11367, 22734, 45469, 90938, 181877, 363755, 727510, 1455021, 2910043, 5820087, 11640174, 23280348, 46560696, 93121392, 186242785, 372485570,

You’re right!
Let it be Fact (my findings be just a statistical piece)

 

How about modifying BitCrack Kernel to filter private keys (using my findings or custom filters like no consecutive 5 zeroes in private keys) before address generation!!
Does it improve efficiency??

Example of How a Filter Works:
We want to exclude private keys that contain triple repeating characters (e.g., “aaa”, “111”, etc.), because no valid Bitcoin private key from Puzzles 1-70 has had this pattern.

Without Filter:
• Generate Private Key
• Convert Private Key to Public Key (elliptic curve multiplication).
• Check Public Key: Convert to Bitcoin address, compare with target.
• If Invalid: Discard the result.

With Filter (Efficiency Gain):
• Generate Private Key
• Filter Check: Check if the private key contains any triple repeating characters.
• If the key fails the filter (e.g., contains “aaa” or “111”), skip the public key calculation.
• If the key passes the filter, proceed to the next step.
• Convert Private Key to Public Key (elliptic curve multiplication).
• Check Public Key: Convert to Bitcoin address, compare with target.
• If Invalid: Discard the result.

We need to update filter with every new private keys…

You only save the cost of EC multiplication and address conversion for filtered keys, but you still have to generate and scan every private key.
The global search space and thus the brute-force difficulty remains the same. Filtering helps a bit, but doesn’t make miracle.

Sure, you’re right if your filter is absolutely reliable, you can skip entire ranges like 444... that violate the rule, which does save a lot of computation.
But remember, this only works if you’re certain the filter will always hold true for any future puzzle. Otherwise, you risk missing possible solutions.