Push/Fold by Hand: Nash Shove Limits for All 169 Hands

Pick a hand to see its verdict at every seat and stack. The table below answers the question players ask most — up to how many big blinds is this hand a shove? — for each seat in 6-max and 9-max, read straight from the same Nash solution as the charts.

Stacks are in big blinds behind the posted blinds, chip-EV, no antes. A number N means the hand is a shove (≥95% of the time) at every stack from 1bb to N; “—” means it is not a pure shove even at 1bb. Methodology.

All 169 hands

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2sAKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2sAQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2sAJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2sAToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2sA9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92sA8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82sA7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72sA6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62sA5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52sA4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42sA3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332sA2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

Brighter green = the hand stays a shove from the Button at deeper stacks.

Shove limit by hand and seat (bb)

Hand6-Max9-Max
UTGCOBTNSBUTGMPCOBTNSB
AA25+25+25+25+25+25+25+25+25+
AKs25+25+25+25+25+25+25+25+25+
AQs25+25+25+25+1925+25+25+25+
AJs2225+25+25+131825+25+25+
ATs1625+25+25+91325+25+25+
A9s112025+25+682025+25+
A8s91625+25+571625+25+
A7s8142325+56142325+
A6s7122025+46122025+
A5s8132125+56132125+
A4s7132025+45132025+
A3s6121925+45121925+
A2s6111825+45111825+
AKo25+25+25+25+25+25+25+25+25+
KK25+25+25+25+25+25+25+25+25+
KQs1525+25+25+91225+25+25+
KJs122225+25+7102225+25+
KTs101925+25+681925+25+
K9s6111925+44111925+
K8s481425+3481425+
K7s471325+3371325+
K6s461125+3361125+
K5s3610243361024
K4s35923335923
K3s35821335821
K2s34718334718
AQo2225+25+25+151925+25+25+
KQo101825+25+681825+25+
QQ25+25+25+25+25+25+25+25+25+
QJs91725+25+571725+25+
QTs7142225+46142225+
Q9s591525+3491525+
Q8s361125+3361125+
Q7s35822335822
Q6s34821234821
Q5s34720224720
Q4s24617224617
Q3s23614223614
Q2s23512223512
AJo1325+25+25+91125+25+25+
KJo7142225+46142225+
QJo591525+3491525+
JJ25+25+25+25+25+25+25+25+25+
JTs7121925+45121925+
J9s481425+3481425+
J8s351025+3351025+
J7s24720224720
J6s23516223516
J5s23515223515
J4s23413223413
J3s22411222411
J2s22310222310
ATo9162425+68162425+
KTo5101625+44101625+
QTo481325+3381325+
JTo361125+3361125+
TT25+25+25+25+25+25+25+25+25+
T9s481425+3481425+
T8s351125+3351125+
T7s34821224821
T6s23517223517
T5s22313222313
T4s22311222311
T3s22310222310
T2s223922239
A9o7121825+56121825+
K9o46920336920
Q9o34615334615
J9o34720224720
T9o24721224721
9925+25+25+25+182325+25+25+
98s351125+3351125+
97s34924224924
96s23620223620
95s22315222315
94s22210222210
93s222822228
92s222622226
A8o6101625+45101625+
K8o35716335716
Q8o33512223512
J8o23411223411
T8o23415223415
98o23417223417
882425+25+25+152025+25+25+
87s351025+2351025+
86s23721223721
85s22417222417
84s22212222212
83s222622226
82s222522225
A7o591525+4591525+
K7o34715334715
Q7o234922349
J7o223822238
T7o223922239
97o22313222313
87o22315222315
771925+25+25+121625+25+25+
76s23823223823
75s22619222619
74s22214222214
73s22210222210
72s111411114
A6o581325+4481325+
K6o34615334615
Q6o234922349
J6o223622236
T6o222622226
96o222622226
86o22210222210
76o22213222213
661725+25+25+101425+25+25+
65s23722223722
64s22316222316
63s22211222211
62s111611116
A5o591425+4491425+
K5o34613234613
Q5o224822248
J5o223622236
T5o222422224
95o222422224
85o222522225
75o222722227
65o22211222211
551525+25+25+81225+25+25+
54s22620222620
53s22214222214
52s112911129
A4o581325+3481325+
K4o33511223511
Q4o223822238
J4o222522225
T4o222422224
94o112311123
84o111311113
74o111311113
64o111511115
54o112911129
44122225+25+7102225+25+
43s22212222212
42s111811118
A3o471225+3471225+
K3o23511223511
Q3o223722237
J3o222522225
T3o222422224
93o112311123
83o111211112
73o111211112
63o111211112
53o111311113
43o111211112
33111925+25+681925+25+
32s111611116
A2o4711243471124
K2o23510223510
Q2o223622236
J2o222522225
T2o222322223
92o111211112
82o111211112
72o111111111
62o111111111
52o111111111
42o111111111
32o111111111
229152425+57152425+