Exhibit
Rarest hands.
Deal the top five cards of a freshly shuffled deck as a poker hand. Almost always it is nothing much. This room holds the shuffles where it was four of a kind or better, ranked rarest first.
What is ranked
The poker rank of the top five cards, evaluated as a standard five-card hand. Only four of a kind, straight flushes and royal flushes qualify. Ties are ordered by archive number, oldest first.
How rare
Of all possible decks, about one in 3,914 opens with four of a kind or better: 664 of the 2,598,960 possible five-card hands.
The record
Royal flush
Shuffle #35,419, recorded April 28, 2025. 3,672 shuffles have qualified so far.
| Rank | Shuffle | Hand | Shuffled | Era |
|---|---|---|---|---|
| 1,501 | #5,436,441 | Four of a kind | July 2, 2025 | 2025 engine |
| 1,502 | #5,438,716 | Four of a kind | July 2, 2025 | 2025 engine |
| 1,503 | #5,440,808 | Four of a kind | July 2, 2025 | 2025 engine |
| 1,504 | #5,451,164 | Four of a kind | July 2, 2025 | 2025 engine |
| 1,505 | #5,458,694 | Four of a kind | July 2, 2025 | 2025 engine |
| 1,506 | #5,463,099 | Four of a kind | July 2, 2025 | 2025 engine |
| 1,507 | #5,465,261 | Four of a kind | July 2, 2025 | 2025 engine |
| 1,508 | #5,484,796 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,509 | #5,487,356 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,510 | #5,498,819 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,511 | #5,501,822 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,512 | #5,504,822 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,513 | #5,505,283 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,514 | #5,515,968 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,515 | #5,533,509 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,516 | #5,546,096 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,517 | #5,552,176 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,518 | #5,552,876 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,519 | #5,553,255 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,520 | #5,554,572 | Four of a kind | July 3, 2025 | 2025 engine |
| 1,521 | #5,559,117 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,522 | #5,559,414 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,523 | #5,560,949 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,524 | #5,568,398 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,525 | #5,569,033 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,526 | #5,577,004 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,527 | #5,579,553 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,528 | #5,580,158 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,529 | #5,580,450 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,530 | #5,594,701 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,531 | #5,600,211 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,532 | #5,613,153 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,533 | #5,617,289 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,534 | #5,621,450 | Four of a kind | July 4, 2025 | 2025 engine |
| 1,535 | #5,646,045 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,536 | #5,649,942 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,537 | #5,656,922 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,538 | #5,657,850 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,539 | #5,660,937 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,540 | #5,678,341 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,541 | #5,679,273 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,542 | #5,680,172 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,543 | #5,705,028 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,544 | #5,707,140 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,545 | #5,711,214 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,546 | #5,712,464 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,547 | #5,719,926 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,548 | #5,720,984 | Four of a kind | July 5, 2025 | 2025 engine |
| 1,549 | #5,732,819 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,550 | #5,735,851 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,551 | #5,746,261 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,552 | #5,747,463 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,553 | #5,761,190 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,554 | #5,762,026 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,555 | #5,763,735 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,556 | #5,768,379 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,557 | #5,768,699 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,558 | #5,769,296 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,559 | #5,771,007 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,560 | #5,778,569 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,561 | #5,778,933 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,562 | #5,782,729 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,563 | #5,794,182 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,564 | #5,797,858 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,565 | #5,802,233 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,566 | #5,807,220 | Four of a kind | July 6, 2025 | 2025 engine |
| 1,567 | #5,811,418 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,568 | #5,813,800 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,569 | #5,813,846 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,570 | #5,814,586 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,571 | #5,825,133 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,572 | #5,830,305 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,573 | #5,833,478 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,574 | #5,834,182 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,575 | #5,835,290 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,576 | #5,835,357 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,577 | #5,836,569 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,578 | #5,845,979 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,579 | #5,850,267 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,580 | #5,852,468 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,581 | #5,853,622 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,582 | #5,854,797 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,583 | #5,856,202 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,584 | #5,858,851 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,585 | #5,860,097 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,586 | #5,870,285 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,587 | #5,876,513 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,588 | #5,879,966 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,589 | #5,882,764 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,590 | #5,883,667 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,591 | #5,894,311 | Four of a kind | July 7, 2025 | 2025 engine |
| 1,592 | #5,898,395 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,593 | #5,899,134 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,594 | #5,900,729 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,595 | #5,903,053 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,596 | #5,907,236 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,597 | #5,912,119 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,598 | #5,920,026 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,599 | #5,924,126 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,600 | #5,930,446 | Four of a kind | July 8, 2025 | 2025 engine |
The counts behind that probability are the classical poker enumeration, re-verified in this project by evaluating all 2,598,960 hands. The math pages cover why a deck has so many orderings that even a royal flush on top has turned up here more than once.