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. 3,647 shuffles have qualified so far.

RankShuffleHandShuffledEra
1#35,419Royal flushApril 28, 20252025 engine
2#1,298,403Royal flushMay 14, 20252025 engine
3#1,528,249Royal flushMay 17, 20252025 engine
4#1,925,241Royal flushMay 21, 20252025 engine
5#1,958,299Royal flushMay 22, 20252025 engine
6#4,616,086Royal flushJune 22, 20252025 engine
7#5,706,855Royal flushJuly 5, 20252025 engine
8#5,866,706Royal flushJuly 7, 20252025 engine
9#6,069,584Royal flushJuly 10, 20252025 engine
10#6,127,813Royal flushJuly 10, 20252025 engine
11#7,719,583Royal flushJuly 29, 20252025 engine
12#8,137,752Royal flushAugust 3, 20252025 engine
13#8,513,471Royal flushAugust 7, 20252025 engine
14#8,702,682Royal flushAugust 10, 20252025 engine
15#9,368,414Royal flushAugust 18, 20252025 engine
16#9,470,529Royal flushAugust 19, 20252025 engine
17#9,562,116Royal flushAugust 20, 20252025 engine
18#10,798,381Royal flushSeptember 3, 20252025 engine
19#11,081,702Royal flushSeptember 7, 20252025 engine
20#11,393,273Royal flushSeptember 16, 20252025 engine
21#11,491,599Royal flushSeptember 17, 20252025 engine
22#12,477,659Royal flushAugust 30, 2026this site
23#12,674,587Royal flushSeptember 1, 2026this site
24#13,012,973Royal flushSeptember 5, 2026this site
25#13,317,202Royal flushSeptember 9, 2026this site
26#13,758,373Royal flushSeptember 14, 2026this site
27#14,193,534Royal flushSeptember 19, 2026this site
28#116,450Straight flushApril 29, 20252025 engine
29#135,148Straight flushApril 30, 20252025 engine
30#171,967Straight flushApril 30, 20252025 engine
31#229,394Straight flushMay 1, 20252025 engine
32#253,103Straight flushMay 1, 20252025 engine
33#272,552Straight flushMay 1, 20252025 engine
34#318,795Straight flushMay 2, 20252025 engine
35#405,572Straight flushMay 3, 20252025 engine
36#438,032Straight flushMay 3, 20252025 engine
37#450,550Straight flushMay 3, 20252025 engine
38#543,051Straight flushMay 5, 20252025 engine
39#587,238Straight flushMay 6, 20252025 engine
40#601,697Straight flushMay 6, 20252025 engine
41#764,669Straight flushMay 8, 20252025 engine
42#786,362Straight flushMay 8, 20252025 engine
43#944,105Straight flushMay 10, 20252025 engine
44#1,027,939Straight flushMay 11, 20252025 engine
45#1,032,012Straight flushMay 11, 20252025 engine
46#1,091,321Straight flushMay 12, 20252025 engine
47#1,160,981Straight flushMay 12, 20252025 engine
48#1,241,472Straight flushMay 13, 20252025 engine
49#1,328,662Straight flushMay 14, 20252025 engine
50#1,351,463Straight flushMay 15, 20252025 engine
51#1,416,182Straight flushMay 15, 20252025 engine
52#1,416,641Straight flushMay 15, 20252025 engine
53#1,548,118Straight flushMay 17, 20252025 engine
54#1,565,061Straight flushMay 17, 20252025 engine
55#1,604,068Straight flushMay 18, 20252025 engine
56#1,672,659Straight flushMay 18, 20252025 engine
57#1,703,338Straight flushMay 19, 20252025 engine
58#1,781,510Straight flushMay 20, 20252025 engine
59#1,802,840Straight flushMay 20, 20252025 engine
60#1,872,960Straight flushMay 21, 20252025 engine
61#1,904,292Straight flushMay 21, 20252025 engine
62#2,002,065Straight flushMay 22, 20252025 engine
63#2,057,805Straight flushMay 23, 20252025 engine
64#2,148,972Straight flushMay 24, 20252025 engine
65#2,160,322Straight flushMay 24, 20252025 engine
66#2,232,209Straight flushMay 25, 20252025 engine
67#2,328,773Straight flushMay 26, 20252025 engine
68#2,354,992Straight flushMay 27, 20252025 engine
69#2,474,013Straight flushMay 28, 20252025 engine
70#2,478,538Straight flushMay 28, 20252025 engine
71#2,506,589Straight flushMay 28, 20252025 engine
72#2,509,285Straight flushMay 28, 20252025 engine
73#2,539,637Straight flushMay 29, 20252025 engine
74#2,912,047Straight flushJune 2, 20252025 engine
75#2,964,873Straight flushJune 3, 20252025 engine
76#3,021,943Straight flushJune 3, 20252025 engine
77#3,051,102Straight flushJune 4, 20252025 engine
78#3,220,405Straight flushJune 6, 20252025 engine
79#3,280,600Straight flushJune 7, 20252025 engine
80#3,391,346Straight flushJune 8, 20252025 engine
81#3,549,941Straight flushJune 10, 20252025 engine
82#3,574,888Straight flushJune 10, 20252025 engine
83#3,668,831Straight flushJune 11, 20252025 engine
84#3,767,597Straight flushJune 12, 20252025 engine
85#3,844,012Straight flushJune 13, 20252025 engine
86#3,936,381Straight flushJune 14, 20252025 engine
87#4,019,591Straight flushJune 15, 20252025 engine
88#4,100,557Straight flushJune 16, 20252025 engine
89#4,146,022Straight flushJune 17, 20252025 engine
90#4,164,687Straight flushJune 17, 20252025 engine
91#4,257,318Straight flushJune 18, 20252025 engine
92#4,457,287Straight flushJune 20, 20252025 engine
93#4,664,683Straight flushJune 23, 20252025 engine
94#4,742,075Straight flushJune 24, 20252025 engine
95#4,816,444Straight flushJune 25, 20252025 engine
96#4,889,729Straight flushJune 26, 20252025 engine
97#5,015,670Straight flushJune 27, 20252025 engine
98#5,093,964Straight flushJune 28, 20252025 engine
99#5,241,507Straight flushJune 30, 20252025 engine
100#5,329,941Straight flushJuly 1, 20252025 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.