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. 3,689 shuffles have qualified so far.
| Rank | Shuffle | Hand | Shuffled | Era |
|---|---|---|---|---|
| 3,001 | #11,556,324 | Four of a kind | September 17, 2025 | 2025 engine |
| 3,002 | #11,556,537 | Four of a kind | September 17, 2025 | 2025 engine |
| 3,003 | #11,557,499 | Four of a kind | September 17, 2025 | 2025 engine |
| 3,004 | #11,557,922 | Four of a kind | September 17, 2025 | 2025 engine |
| 3,005 | #11,559,192 | Four of a kind | September 17, 2025 | 2025 engine |
| 3,006 | #11,562,863 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,007 | #11,562,920 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,008 | #11,567,000 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,009 | #11,576,956 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,010 | #11,578,675 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,011 | #11,579,283 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,012 | #11,581,677 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,013 | #11,586,213 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,014 | #11,587,346 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,015 | #11,587,444 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,016 | #11,588,493 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,017 | #11,594,051 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,018 | #11,601,476 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,019 | #11,606,495 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,020 | #11,607,830 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,021 | #11,610,642 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,022 | #11,615,669 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,023 | #11,617,040 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,024 | #11,622,614 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,025 | #11,625,158 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,026 | #11,630,734 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,027 | #11,631,911 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,028 | #11,631,912 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,029 | #11,634,665 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,030 | #11,639,179 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,031 | #11,642,405 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,032 | #11,644,375 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,033 | #11,644,567 | Four of a kind | September 18, 2025 | 2025 engine |
| 3,034 | #11,645,217 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,035 | #11,645,649 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,036 | #11,651,896 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,037 | #11,652,006 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,038 | #11,652,178 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,039 | #11,655,869 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,040 | #11,656,929 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,041 | #11,661,114 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,042 | #11,662,231 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,043 | #11,664,911 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,044 | #11,665,747 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,045 | #11,665,927 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,046 | #11,667,158 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,047 | #11,667,391 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,048 | #11,670,202 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,049 | #11,672,203 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,050 | #11,674,315 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,051 | #11,687,352 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,052 | #11,691,408 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,053 | #11,702,309 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,054 | #11,703,331 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,055 | #11,712,626 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,056 | #11,717,270 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,057 | #11,717,422 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,058 | #11,723,582 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,059 | #11,725,479 | Four of a kind | September 19, 2025 | 2025 engine |
| 3,060 | #11,732,841 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,061 | #11,736,686 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,062 | #11,737,170 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,063 | #11,739,636 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,064 | #11,742,772 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,065 | #11,744,048 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,066 | #11,747,450 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,067 | #11,748,133 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,068 | #11,755,075 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,069 | #11,756,022 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,070 | #11,762,200 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,071 | #11,763,649 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,072 | #11,766,610 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,073 | #11,770,755 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,074 | #11,771,135 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,075 | #11,771,850 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,076 | #11,779,058 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,077 | #11,785,251 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,078 | #11,788,561 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,079 | #11,789,156 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,080 | #11,791,964 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,081 | #11,794,975 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,082 | #11,799,155 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,083 | #11,801,388 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,084 | #11,809,721 | Four of a kind | September 20, 2025 | 2025 engine |
| 3,085 | #11,814,199 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,086 | #11,814,236 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,087 | #11,814,367 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,088 | #11,816,980 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,089 | #11,817,026 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,090 | #11,819,634 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,091 | #11,828,131 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,092 | #11,832,852 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,093 | #11,832,951 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,094 | #11,834,919 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,095 | #11,836,784 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,096 | #11,837,551 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,097 | #11,838,539 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,098 | #11,851,797 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,099 | #11,853,215 | Four of a kind | September 21, 2025 | 2025 engine |
| 3,100 | #11,853,600 | Four of a kind | September 21, 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.