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 total big blinds before posting 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+
AJs2125+25+25+131825+25+25+
ATs1525+25+25+91225+25+25+
A9s101925+25+681925+25+
A8s8162425+57162425+
A7s7132125+56132125+
A6s6121925+45121925+
A5s7132025+45132025+
A4s6111825+45111825+
A3s5101725+45101725+
A2s5101625+44101625+
AKo25+25+25+25+25+25+25+25+25+
KK25+25+25+25+25+25+25+25+25+
KQs1425+25+25+81225+25+25+
KJs112125+25+692125+25+
KTs91725+25+571725+25+
K9s591625+4491625+
K8s461125+3361125+
K7s361025+3361025+
K6s35825+335825+
K5s34723334723
K4s34721334721
K3s34619334619
K2s33618333618
AQo2225+25+25+141925+25+25+
KQo91725+25+571725+25+
QQ25+25+25+25+25+25+25+25+25+
QJs81525+25+561525+25+
QTs6111925+45111925+
Q9s471225+3371225+
Q8s34825+334825+
Q7s33520233520
Q6s33520223520
Q5s23418223418
Q4s23314223314
Q3s23313223313
Q2s22311222311
AJo132325+25+9112325+25+
KJo6122125+45122125+
QJo471225+3471225+
JJ25+25+25+25+25+25+25+25+25+
JTs5101725+45101725+
J9s351025+3351025+
J8s34624334624
J7s23419223419
J6s22315222315
J5s22313222313
J4s22311222311
J3s22210222210
J2s222922229
ATo9152325+68152325+
KTo481325+4481325+
QTo361025+3361025+
JTo34725+334725+
TT25+25+25+25+25+25+25+25+25+
T9s35925+335925+
T8s33524333524
T7s23320223320
T6s22315222315
T5s22211222211
T4s22210222210
T3s222722227
T2s222622226
A9o7111825+56111825+
K9o35819335819
Q9o33514333514
J9o23419223419
T9o23420223420
9925+25+25+25+182325+25+25+
98s33425+333425+
97s23321223321
96s22218222218
95s22211222211
94s222422224
93s222422224
92s222322223
A8o6101525+45101525+
K8o34615334615
Q8o23411223411
J8o23310223310
T8o22312222312
98o22215222215
882425+25+25+152025+25+25+
87s23324223324
86s22220222220
85s22215222215
84s222422224
83s222222222
82s222222222
A7o591425+4491425+
K7o34614334614
Q7o233922339
J7o223722237
T7o222722227
97o22210222210
87o22211222211
771825+25+25+111525+25+25+
76s22221222221
75s22216222216
74s22211222211
73s222222222
72s111211112
A6o471225+4471225+
K6o33513333513
Q6o223922239
J6o222622226
T6o222522225
96o222422224
86o222422224
76o222322223
661725+25+25+101325+25+25+
65s22220222220
64s22213222213
63s221222212
62s111211112
A5o481325+4481325+
K5o33412233412
Q5o223822238
J5o222522225
T5o222422224
95o222322223
85o222222222
75o222222222
65o221222212
551425+25+25+81125+25+25+
54s22218222218
53s221222212
52s111211112
A4o471125+3471125+
K4o23411223411
Q4o223722237
J4o222522225
T4o222322223
94o112211122
84o111211112
74o111211112
64o111211112
54o111211112
44112025+25+792025+25+
43s221222212
42s111111111
A3o461025+3461025+
K3o23311223311
Q3o222722227
J3o222422224
T3o222322223
93o111211112
83o111211112
73o111111111
63o111111111
53o111111111
43o111111111
33101725+25+681725+25+
32s111111111
A2o46923336923
K2o23310223310
Q2o222622226
J2o222422224
T2o222222222
92o111211112
82o111111111
72o111111111
62o111111111
52o111111111
42o11—1111—1
32o11—1111—1
228132125+56132125+