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. 3,674 shuffles have qualified so far.
| Rank | Shuffle | Hand | Shuffled | Era |
|---|---|---|---|---|
| 1,701 | #6,345,908 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,702 | #6,346,921 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,703 | #6,348,152 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,704 | #6,349,306 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,705 | #6,349,735 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,706 | #6,359,815 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,707 | #6,364,466 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,708 | #6,381,283 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,709 | #6,382,066 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,710 | #6,383,192 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,711 | #6,383,421 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,712 | #6,387,826 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,713 | #6,392,294 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,714 | #6,400,392 | Four of a kind | July 13, 2025 | 2025 engine |
| 1,715 | #6,405,465 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,716 | #6,410,159 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,717 | #6,413,560 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,718 | #6,418,310 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,719 | #6,418,351 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,720 | #6,421,063 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,721 | #6,425,499 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,722 | #6,426,302 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,723 | #6,426,772 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,724 | #6,430,106 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,725 | #6,433,815 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,726 | #6,442,121 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,727 | #6,442,122 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,728 | #6,444,234 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,729 | #6,444,235 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,730 | #6,448,678 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,731 | #6,462,526 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,732 | #6,465,422 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,733 | #6,467,239 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,734 | #6,469,445 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,735 | #6,471,514 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,736 | #6,474,874 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,737 | #6,475,741 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,738 | #6,475,896 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,739 | #6,478,243 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,740 | #6,478,826 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,741 | #6,484,296 | Four of a kind | July 14, 2025 | 2025 engine |
| 1,742 | #6,489,282 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,743 | #6,491,115 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,744 | #6,491,668 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,745 | #6,495,614 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,746 | #6,499,212 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,747 | #6,509,998 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,748 | #6,510,362 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,749 | #6,511,351 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,750 | #6,512,504 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,751 | #6,512,907 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,752 | #6,513,576 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,753 | #6,517,407 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,754 | #6,528,280 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,755 | #6,531,044 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,756 | #6,533,396 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,757 | #6,537,373 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,758 | #6,544,765 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,759 | #6,547,064 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,760 | #6,549,287 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,761 | #6,551,167 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,762 | #6,551,794 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,763 | #6,556,417 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,764 | #6,557,291 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,765 | #6,560,005 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,766 | #6,562,418 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,767 | #6,562,652 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,768 | #6,563,186 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,769 | #6,569,198 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,770 | #6,571,595 | Four of a kind | July 15, 2025 | 2025 engine |
| 1,771 | #6,579,982 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,772 | #6,581,840 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,773 | #6,583,125 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,774 | #6,584,718 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,775 | #6,586,207 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,776 | #6,593,784 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,777 | #6,596,218 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,778 | #6,600,079 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,779 | #6,601,467 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,780 | #6,601,900 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,781 | #6,631,792 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,782 | #6,633,245 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,783 | #6,635,026 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,784 | #6,636,801 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,785 | #6,638,416 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,786 | #6,638,542 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,787 | #6,638,571 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,788 | #6,645,004 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,789 | #6,650,847 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,790 | #6,653,322 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,791 | #6,655,257 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,792 | #6,657,189 | Four of a kind | July 16, 2025 | 2025 engine |
| 1,793 | #6,661,029 | Four of a kind | July 17, 2025 | 2025 engine |
| 1,794 | #6,662,027 | Four of a kind | July 17, 2025 | 2025 engine |
| 1,795 | #6,665,802 | Four of a kind | July 17, 2025 | 2025 engine |
| 1,796 | #6,667,226 | Four of a kind | July 17, 2025 | 2025 engine |
| 1,797 | #6,667,992 | Four of a kind | July 17, 2025 | 2025 engine |
| 1,798 | #6,685,521 | Four of a kind | July 17, 2025 | 2025 engine |
| 1,799 | #6,686,566 | Four of a kind | July 17, 2025 | 2025 engine |
| 1,800 | #6,689,179 | Four of a kind | July 17, 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.