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. 3,673 shuffles have qualified so far.
| Rank | Shuffle | Hand | Shuffled | Era |
|---|---|---|---|---|
| 1,601 | #5,930,446 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,602 | #5,933,231 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,603 | #5,936,254 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,604 | #5,942,100 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,605 | #5,943,672 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,606 | #5,947,314 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,607 | #5,948,174 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,608 | #5,948,449 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,609 | #5,949,514 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,610 | #5,956,132 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,611 | #5,960,277 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,612 | #5,964,449 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,613 | #5,978,414 | Four of a kind | July 8, 2025 | 2025 engine |
| 1,614 | #5,984,467 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,615 | #5,985,633 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,616 | #5,986,384 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,617 | #5,988,448 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,618 | #5,992,544 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,619 | #5,992,851 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,620 | #5,999,710 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,621 | #6,001,314 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,622 | #6,007,547 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,623 | #6,007,743 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,624 | #6,010,654 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,625 | #6,023,040 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,626 | #6,023,041 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,627 | #6,023,093 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,628 | #6,033,961 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,629 | #6,034,511 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,630 | #6,039,098 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,631 | #6,040,797 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,632 | #6,043,242 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,633 | #6,044,803 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,634 | #6,054,924 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,635 | #6,055,121 | Four of a kind | July 9, 2025 | 2025 engine |
| 1,636 | #6,081,502 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,637 | #6,082,918 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,638 | #6,082,933 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,639 | #6,094,982 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,640 | #6,097,934 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,641 | #6,104,204 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,642 | #6,105,631 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,643 | #6,106,030 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,644 | #6,106,140 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,645 | #6,112,723 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,646 | #6,114,594 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,647 | #6,118,808 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,648 | #6,122,982 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,649 | #6,138,790 | Four of a kind | July 10, 2025 | 2025 engine |
| 1,650 | #6,157,932 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,651 | #6,159,501 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,652 | #6,159,998 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,653 | #6,168,505 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,654 | #6,178,682 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,655 | #6,184,018 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,656 | #6,186,108 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,657 | #6,188,055 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,658 | #6,196,599 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,659 | #6,205,294 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,660 | #6,206,178 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,661 | #6,207,430 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,662 | #6,214,789 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,663 | #6,216,660 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,664 | #6,223,280 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,665 | #6,225,446 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,666 | #6,225,948 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,667 | #6,227,495 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,668 | #6,229,630 | Four of a kind | July 11, 2025 | 2025 engine |
| 1,669 | #6,234,625 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,670 | #6,235,362 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,671 | #6,235,778 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,672 | #6,239,731 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,673 | #6,257,165 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,674 | #6,258,956 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,675 | #6,259,919 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,676 | #6,259,951 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,677 | #6,264,276 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,678 | #6,264,277 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,679 | #6,267,286 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,680 | #6,267,695 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,681 | #6,270,796 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,682 | #6,271,252 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,683 | #6,272,870 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,684 | #6,284,942 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,685 | #6,285,022 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,686 | #6,287,438 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,687 | #6,288,383 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,688 | #6,288,749 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,689 | #6,291,212 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,690 | #6,293,643 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,691 | #6,301,990 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,692 | #6,304,345 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,693 | #6,312,688 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,694 | #6,315,811 | Four of a kind | July 12, 2025 | 2025 engine |
| 1,695 | #6,324,025 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,696 | #6,325,762 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,697 | #6,333,442 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,698 | #6,338,079 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,699 | #6,342,063 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,700 | #6,345,908 | Four of a kind | July 13, 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.