tokecap's Blog

These pages are for global mathematical work. Contain online databases of covering designs.

https://www.dmgordon.org/
https://www.coveringrepository.com
https://lottodesigns.altervista.org/
https://www.dcode.fr/covering-design-lottery
https://lasistemisticalotto.blogspot.com/
https://www.loto-sistemi-svetam.rs/category/arhiva-sistema/

https://web.archive.org/web/20170928220227/http://www.weefs-lottosysteme.de/systeme,en.htm
website has gone down (dead)

https://forum.multipasko.pl/5156
https://mathoverflow.net/questions/67334/a-generalization-of-covering-designs-and-lottery-wheels
https://www.researchgate.net/publication/383091215_On_the_Lottery_Problem_Tracing_Stefan_Mandel%27s_Combinatorial_Condensation
https://nerdland.net/the-lottery-problem/an-introduction-to-the-lottery-problem/
https://arxiv.org/pdf/2408.06857
https://www.sciencedirect.com/science/article/pii/S0166218X04001180
https://thehustle.co/the-man-who-won-the-lottery-14-times-part-1
https://www.collectionscanada.gc.ca/obj/s4/f2/dsk3/MWU/TC-MWU-105.pdf
https://www.researchgate.net/publication/2450006_Lotto_Designs
https://www.naspl.org/history-of-the-industry
https://www.smartluck.com/gailhoward-lottery-bio.htm
https://www.timersoft.com/2024/11/25/the-evolution-of-lottery-software-a-brief-history/
https://ljcr.dmgordon.org/cover/table.html
https://www.math.ucdavis.edu/~deloera/MISC/LA-BIBLIO/trunk/Kuperberg/Kuperberg5.pdf
https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Combinatorics_(Walker)/02%3A_Combinatorics/2.04%3A_Combinations_and_the_Binomial_Theorem
https://www.combinatorics.org/ojs/index.php/eljc/article/view/v27i3p56
https://lotterycodex.com/lottery-formula/
https://math.libretexts.org/Bookshelves/Probability_Theory/Probability_and_Odds_(Johnk)/04%3A_Probability_and_Odds/4.04%3A_Expected_Value
http://www.mchip.net/fetch.php/u506FA/246599/Combinatorial%2520Lottery%2520Systems%2520Wheels%2520With%2520Guaranteed%2520Wins.pdf
https://cp-algorithms.com/combinatorics/inclusion-exclusion.html

https://www.dmgordon.org/cover/

 This website will be shutting down in 2026, and after March 1 no new covering designs will be accepted.

Dan Gordon’s Home Page

Morning draws

TN
279
9745

TX
139
7331

STRN
11233345777999
068....missing numbers

Sample:
0xx x0x xx0
6xx x6x xx6
8xx x8x xx8

TP
00 06 08 60 66 68 80 86 88

3 digits
116 130 136 148 156 167 190 228 230 
246 267 269 270 280 290 350 360 366 
367 450 456 458 469 470 488 568 570 
578 580 589 590 660 666 667 677 679 
680 690 699 700 770 779 780 790 799 
890 000

Matrix Z$
  9745
139
  279
  7331

Free 3 digits
STRN
11233345777999 - HOT: 3, 7 and 9
115 123 125 127 129 139 145 155 157 
222 223 224 227 229 233 245 247 249 
259 277 279 345 347 379 457 459 479 
555 559 577

Tennessee
758
1041

Texas
026
5421

String Repeating Numbers
11122445567800
39....missing numbers

Sample:
3xx x3x xx3 9xx x9x xx9
33x 3x3 x33 99x 9x9 x99

Matrix Z$
1041
  758
  026
5421

Morning draws

TN
686
3468

TX
582
3792

String Repeating Numbers
22334566678889 - HOT: 6 and 8
10....missing numbers

Traveling Pairs
10 11 12 13 14 15 16 17 18 19
01 11 21 31 41 51 61 71 81 91

00 02 03 04 05 06 07 08 09
00 20 30 40 50 60 70 80 90

3 digits
110 116 117 120 125 128 130 137 145 148 
156 158 160 166 178 200 230 250 260 300 
340 360 380 450 460 470 480 500 550 580 
680 690 700 790 800 890

Matrix Z$
686
  582
  3792
3468

Free 3 digits
String Repeating Numbers
22334566678889 - HOT: 6 and 8
227 235 236 237 246 247 255 256 257 258 
269 279 339 357 358 366 367 378 445 448 
456 458 467 468 478 566 567 578 588 669 
699 799

NY Pick 3
Method  (cold / hybrid / positional), without trying to “predict” results.

036 · 048 · 347 · 368 · 406 · 480 · 638 · 639 · 708 · 804 · 835 · 860 · 346 · 684

Overall structure (first pass)

✔️ No triples
✔️ No explicit doubles (AAB, ABB)
✔️ Strong dominance of ABC (all digits different)
✔️ Good distribution across low / mid / high digits

>> This already indicates a cold / controlled hybrid set, not a “hot” set.
Block-by-block analysis

1 - Low-dominant group (0–3)

036 048 406 480

✔️ Zeros are well distributed
✔️ Not clustered around common hot pairs
✔️ Good candidates for midday and early-cycle plays

2 - Balanced mid-range

347 368 346

✔️ Strong positional diversity
✔️ No repeated positional pairs
✔️ Solid structural integrity

3 - Upper-mid / high support

638 639 684

✔️ High digits used as structure, not overload
✔️ Avoids recent saturation patterns
✔️ Works well as cycle-extension coverage

4 - Extreme high / edge coverage

708 804 835 860

✔️ Good use of digit separation
✔️ Zero breaks hot clusters
✔️ These often show better performance in evening draws

Tennessee   
091
2994

Texas   
556
9218

String Repeating Numbers
11224556899990
37....missing numbers

TP
03 13 23 33 43 53 63 73 83 93
30 31 32 33 34 35 36 37 38 39

07 17 27 47 57 67 77 87 97
70 71 72 74 75 76 77 78 79

3 digits
127 133 134 135 136 157 167 223 230 233 237 237 238
257 267 270 278 279 337 338 340 350 355 356 357 369
377 378 379 388 457 477 478 579 670

Matrix Z$
9218
091
2994
556

Free 3 digits
String Repeating Numbers
11224556899990 - HOT: 9
114 115 124 125 130 145 146 155 156 158 166 188 190
222 225 226 229 248 249 250 258 259 269 280 289 299
456 460 468 488 499 556 568 580 590 670 688 689 890

People often mix up probability and likelihood, but they’re not the same.

Probability is used to predict outcomes when the model is known—like lottery draws, dice, or cards—where results can be calculated precisely.

Likelihood works the other way around: after outcomes are observed, it’s used to judge which explanation or model best fits the data, often in complex real-world situations like elections.

Simply put:
Probability predicts outcomes; likelihood evaluates explanations.

Morning draws
TN
544
1351

TX
765
7517

String Repeating Numbers
11134455556777 - HOT: 5
2890....missing numbers

TP
22 28 29 20
82 88 89 80
92 98 99 90
02 08 09 00

Sample: 2x2  22x  x22

3 digits
190 226 238 248 249 259 269 270 279 380 
290 388 389 489 500 580 590 599 600 688 
689 700 780 788 789 888 889 999

Matrix Z$
7517
1351
  544
765

Free 3 digits
116 123 126 127 130 135 137 138 145 146 
147 155 156 158 167 170 234 237 245 256 
257 267 333 345 346 350 356 358 359 366 
367 368 370 378 379 445 457 459 466 479 
550 555 559 560 566 567 569 570 660 667 
668 669 677 777

• AI Moves from Tools to Systems: Innovation is shifting from simple chatbots and copilots to agent-centric systems that can autonomously own outcomes and manage complex, recursive workloads.
• The Return to the Physical World: After decades of digital dominance, venture capital is flowing back into "American Dynamism"—industries like manufacturing, energy, and logistics, now powered by an AI-native industrial base.
• Infrastructure for "Agent Speed": Traditional backends built for human interaction are being re-architected for agents that can trigger thousands of tasks per second, necessitating "agent-native" infrastructure that handles massive concurrency. 

• Cybersecurity: AI will finally close the hiring gap by automating "soul-crushing" level-1 log review work, freeing human teams for high-stakes threat hunting.
• Financial Services: Institutions will begin letting legacy COBOL-based contracts lapse to implement AI-native alternatives that parallelize thousands of tasks, such as mortgage underwriting.
• Education: Predictions include the rise of the first AI-native university, an adaptive academic organism where reading lists and learning paths evolve nightly based on data feedback loops.
• Stablecoins: Expected to transition from a niche financial tool to the "foundational settlement layer for the internet," facilitating real-time cross-border payments for workers and merchants. 

For the full detailed reports, you can access the a16z News & Updates archive

https://a16z.com/news-content/

Morning draws

TN
441
7339

TX
121
1808

STRN
11112334478890 - HOT: 1
56....missing numbers

Sample: 
5xx x5x xx5 6xx x6x xx6
5xxx x5xx xx5x xxx5
6xxx x6xx xx6x xxx6

TP
05 15 25 35 45 55 65 75 85 95
50 51 52 53 54 55 56 57 58 59

06 16 26 36 46 66 76 86 96
60 61 62 63 64 66 67 68 69

Matrix Z$
  441
7339
121
  1808

TN
360
8549

TX
958
5138

String Repeating Numbrs
13345556888990
27.....missing numbers

TP
02 12 22 32 42 52 62 72 82 92
20 21 22 23 24 25 26 27 28 29

07 17 37 47 57 67 77 87 97
70 71 73 74 75 76 77 78 79

3 digits
117 123 128 137 147 157 177 178 179
223 227 230 235 237 238 239 240 244 
246 247 248 267 268 270 289 347 370 
377 378 457 477 567 570 579 667 670 
777 778 780 789

Matrix Z$
958
5138
  360
8549

Free 3 digits
String Repeating Numbers
13345556888990 - HOT: 5, 8
100 111 113 119 133 134 136 138 139 140 
145 148 149 150 158 160 168 169 180 190 
300 330 333 335 340 345 348 350 358 369 
450 456 459 466 480 489 560 568 590 599 
699 889 890 900 000

TN - December 2025

Dominant hot pairs identified earlier:

ABx: 37x, 41x, 26x, 83x, 80x

xBC: x70, x18, x84, x68, x94

AxC: 3x0, 4x4, 8x4, 2x8, 6x8

Morning draws
TN
360......AxC: 3x0

10 Pick 3 numbers using ONLY NON-HOT positional pairs

194 256 327 519 645 732 805 918 943 671

The idea here is counter-cycle play: exploring cold or underused areas.

Morning draws

TN
327
2752

TX
871
7328

STRN
12222335777788 - HOT: 2, 7
4690....missing numbers 
(Sample: 4xx, x4x, xx4, 4x4, 4x6, 4x9, 4x0, etc.)

TP
44 46 49 40
64 66 69 60
94 96 99 90
04 06 09 00

3 digits
169 190 199 200 240 249 260 269 300 340 
344 349 360 390 444 447 449 467 469 479 
480 489 490 499 660 660 669 700 890 000 

Matrix Z$
327
2752
 871
7328

Free 3 digits
STRN
12222335777788 - (HOT: 2, 7) MN 4,6,9,0
120 129 130 133 135 138 145 147 155 167 
168 222 234 236 237 238 247 255 257 258 
267 270 280 288 289 334 345 347 355 358 
368 380 389 457 570 578 580 589 678 770 
789 880 

Test P4 (4690)
4598 1069 0567 3196 4236 0895 7026 1639 2689