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)
| Hand | 6-Max | 9-Max | |||||||
|---|---|---|---|---|---|---|---|---|---|
| UTG | CO | BTN | SB | UTG | MP | CO | BTN | SB | |
| AA | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ |
| AKs | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ |
| AQs | 25+ | 25+ | 25+ | 25+ | 19 | 25+ | 25+ | 25+ | 25+ |
| AJs | 22 | 25+ | 25+ | 25+ | 13 | 18 | 25+ | 25+ | 25+ |
| ATs | 16 | 25+ | 25+ | 25+ | 9 | 13 | 25+ | 25+ | 25+ |
| A9s | 11 | 20 | 25+ | 25+ | 6 | 8 | 20 | 25+ | 25+ |
| A8s | 9 | 16 | 25+ | 25+ | 5 | 7 | 16 | 25+ | 25+ |
| A7s | 8 | 14 | 23 | 25+ | 5 | 6 | 14 | 23 | 25+ |
| A6s | 7 | 12 | 20 | 25+ | 4 | 6 | 12 | 20 | 25+ |
| A5s | 8 | 13 | 21 | 25+ | 5 | 6 | 13 | 21 | 25+ |
| A4s | 7 | 13 | 20 | 25+ | 4 | 5 | 13 | 20 | 25+ |
| A3s | 6 | 12 | 19 | 25+ | 4 | 5 | 12 | 19 | 25+ |
| A2s | 6 | 11 | 18 | 25+ | 4 | 5 | 11 | 18 | 25+ |
| AKo | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ |
| KK | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ |
| KQs | 15 | 25+ | 25+ | 25+ | 9 | 12 | 25+ | 25+ | 25+ |
| KJs | 12 | 22 | 25+ | 25+ | 7 | 10 | 22 | 25+ | 25+ |
| KTs | 10 | 19 | 25+ | 25+ | 6 | 8 | 19 | 25+ | 25+ |
| K9s | 6 | 11 | 19 | 25+ | 4 | 4 | 11 | 19 | 25+ |
| K8s | 4 | 8 | 14 | 25+ | 3 | 4 | 8 | 14 | 25+ |
| K7s | 4 | 7 | 13 | 25+ | 3 | 3 | 7 | 13 | 25+ |
| K6s | 4 | 6 | 11 | 25+ | 3 | 3 | 6 | 11 | 25+ |
| K5s | 3 | 6 | 10 | 24 | 3 | 3 | 6 | 10 | 24 |
| K4s | 3 | 5 | 9 | 23 | 3 | 3 | 5 | 9 | 23 |
| K3s | 3 | 5 | 8 | 21 | 3 | 3 | 5 | 8 | 21 |
| K2s | 3 | 4 | 7 | 18 | 3 | 3 | 4 | 7 | 18 |
| AQo | 22 | 25+ | 25+ | 25+ | 15 | 19 | 25+ | 25+ | 25+ |
| KQo | 10 | 18 | 25+ | 25+ | 6 | 8 | 18 | 25+ | 25+ |
| 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | |
| QJs | 9 | 17 | 25+ | 25+ | 5 | 7 | 17 | 25+ | 25+ |
| QTs | 7 | 14 | 22 | 25+ | 4 | 6 | 14 | 22 | 25+ |
| Q9s | 5 | 9 | 15 | 25+ | 3 | 4 | 9 | 15 | 25+ |
| Q8s | 3 | 6 | 11 | 25+ | 3 | 3 | 6 | 11 | 25+ |
| Q7s | 3 | 5 | 8 | 22 | 3 | 3 | 5 | 8 | 22 |
| Q6s | 3 | 4 | 8 | 21 | 2 | 3 | 4 | 8 | 21 |
| Q5s | 3 | 4 | 7 | 20 | 2 | 2 | 4 | 7 | 20 |
| Q4s | 2 | 4 | 6 | 17 | 2 | 2 | 4 | 6 | 17 |
| Q3s | 2 | 3 | 6 | 14 | 2 | 2 | 3 | 6 | 14 |
| Q2s | 2 | 3 | 5 | 12 | 2 | 2 | 3 | 5 | 12 |
| AJo | 13 | 25+ | 25+ | 25+ | 9 | 11 | 25+ | 25+ | 25+ |
| KJo | 7 | 14 | 22 | 25+ | 4 | 6 | 14 | 22 | 25+ |
| QJo | 5 | 9 | 15 | 25+ | 3 | 4 | 9 | 15 | 25+ |
| JJ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ |
| JTs | 7 | 12 | 19 | 25+ | 4 | 5 | 12 | 19 | 25+ |
| J9s | 4 | 8 | 14 | 25+ | 3 | 4 | 8 | 14 | 25+ |
| J8s | 3 | 5 | 10 | 25+ | 3 | 3 | 5 | 10 | 25+ |
| J7s | 2 | 4 | 7 | 20 | 2 | 2 | 4 | 7 | 20 |
| J6s | 2 | 3 | 5 | 16 | 2 | 2 | 3 | 5 | 16 |
| J5s | 2 | 3 | 5 | 15 | 2 | 2 | 3 | 5 | 15 |
| J4s | 2 | 3 | 4 | 13 | 2 | 2 | 3 | 4 | 13 |
| J3s | 2 | 2 | 4 | 11 | 2 | 2 | 2 | 4 | 11 |
| J2s | 2 | 2 | 3 | 10 | 2 | 2 | 2 | 3 | 10 |
| ATo | 9 | 16 | 24 | 25+ | 6 | 8 | 16 | 24 | 25+ |
| KTo | 5 | 10 | 16 | 25+ | 4 | 4 | 10 | 16 | 25+ |
| QTo | 4 | 8 | 13 | 25+ | 3 | 3 | 8 | 13 | 25+ |
| JTo | 3 | 6 | 11 | 25+ | 3 | 3 | 6 | 11 | 25+ |
| TT | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ | 25+ |
| T9s | 4 | 8 | 14 | 25+ | 3 | 4 | 8 | 14 | 25+ |
| T8s | 3 | 5 | 11 | 25+ | 3 | 3 | 5 | 11 | 25+ |
| T7s | 3 | 4 | 8 | 21 | 2 | 2 | 4 | 8 | 21 |
| T6s | 2 | 3 | 5 | 17 | 2 | 2 | 3 | 5 | 17 |
| T5s | 2 | 2 | 3 | 13 | 2 | 2 | 2 | 3 | 13 |
| T4s | 2 | 2 | 3 | 11 | 2 | 2 | 2 | 3 | 11 |
| T3s | 2 | 2 | 3 | 10 | 2 | 2 | 2 | 3 | 10 |
| T2s | 2 | 2 | 3 | 9 | 2 | 2 | 2 | 3 | 9 |
| A9o | 7 | 12 | 18 | 25+ | 5 | 6 | 12 | 18 | 25+ |
| K9o | 4 | 6 | 9 | 20 | 3 | 3 | 6 | 9 | 20 |
| Q9o | 3 | 4 | 6 | 15 | 3 | 3 | 4 | 6 | 15 |
| J9o | 3 | 4 | 7 | 20 | 2 | 2 | 4 | 7 | 20 |
| T9o | 2 | 4 | 7 | 21 | 2 | 2 | 4 | 7 | 21 |
| 99 | 25+ | 25+ | 25+ | 25+ | 18 | 23 | 25+ | 25+ | 25+ |
| 98s | 3 | 5 | 11 | 25+ | 3 | 3 | 5 | 11 | 25+ |
| 97s | 3 | 4 | 9 | 24 | 2 | 2 | 4 | 9 | 24 |
| 96s | 2 | 3 | 6 | 20 | 2 | 2 | 3 | 6 | 20 |
| 95s | 2 | 2 | 3 | 15 | 2 | 2 | 2 | 3 | 15 |
| 94s | 2 | 2 | 2 | 10 | 2 | 2 | 2 | 2 | 10 |
| 93s | 2 | 2 | 2 | 8 | 2 | 2 | 2 | 2 | 8 |
| 92s | 2 | 2 | 2 | 6 | 2 | 2 | 2 | 2 | 6 |
| A8o | 6 | 10 | 16 | 25+ | 4 | 5 | 10 | 16 | 25+ |
| K8o | 3 | 5 | 7 | 16 | 3 | 3 | 5 | 7 | 16 |
| Q8o | 3 | 3 | 5 | 12 | 2 | 2 | 3 | 5 | 12 |
| J8o | 2 | 3 | 4 | 11 | 2 | 2 | 3 | 4 | 11 |
| T8o | 2 | 3 | 4 | 15 | 2 | 2 | 3 | 4 | 15 |
| 98o | 2 | 3 | 4 | 17 | 2 | 2 | 3 | 4 | 17 |
| 88 | 24 | 25+ | 25+ | 25+ | 15 | 20 | 25+ | 25+ | 25+ |
| 87s | 3 | 5 | 10 | 25+ | 2 | 3 | 5 | 10 | 25+ |
| 86s | 2 | 3 | 7 | 21 | 2 | 2 | 3 | 7 | 21 |
| 85s | 2 | 2 | 4 | 17 | 2 | 2 | 2 | 4 | 17 |
| 84s | 2 | 2 | 2 | 12 | 2 | 2 | 2 | 2 | 12 |
| 83s | 2 | 2 | 2 | 6 | 2 | 2 | 2 | 2 | 6 |
| 82s | 2 | 2 | 2 | 5 | 2 | 2 | 2 | 2 | 5 |
| A7o | 5 | 9 | 15 | 25+ | 4 | 5 | 9 | 15 | 25+ |
| K7o | 3 | 4 | 7 | 15 | 3 | 3 | 4 | 7 | 15 |
| Q7o | 2 | 3 | 4 | 9 | 2 | 2 | 3 | 4 | 9 |
| J7o | 2 | 2 | 3 | 8 | 2 | 2 | 2 | 3 | 8 |
| T7o | 2 | 2 | 3 | 9 | 2 | 2 | 2 | 3 | 9 |
| 97o | 2 | 2 | 3 | 13 | 2 | 2 | 2 | 3 | 13 |
| 87o | 2 | 2 | 3 | 15 | 2 | 2 | 2 | 3 | 15 |
| 77 | 19 | 25+ | 25+ | 25+ | 12 | 16 | 25+ | 25+ | 25+ |
| 76s | 2 | 3 | 8 | 23 | 2 | 2 | 3 | 8 | 23 |
| 75s | 2 | 2 | 6 | 19 | 2 | 2 | 2 | 6 | 19 |
| 74s | 2 | 2 | 2 | 14 | 2 | 2 | 2 | 2 | 14 |
| 73s | 2 | 2 | 2 | 10 | 2 | 2 | 2 | 2 | 10 |
| 72s | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 |
| A6o | 5 | 8 | 13 | 25+ | 4 | 4 | 8 | 13 | 25+ |
| K6o | 3 | 4 | 6 | 15 | 3 | 3 | 4 | 6 | 15 |
| Q6o | 2 | 3 | 4 | 9 | 2 | 2 | 3 | 4 | 9 |
| J6o | 2 | 2 | 3 | 6 | 2 | 2 | 2 | 3 | 6 |
| T6o | 2 | 2 | 2 | 6 | 2 | 2 | 2 | 2 | 6 |
| 96o | 2 | 2 | 2 | 6 | 2 | 2 | 2 | 2 | 6 |
| 86o | 2 | 2 | 2 | 10 | 2 | 2 | 2 | 2 | 10 |
| 76o | 2 | 2 | 2 | 13 | 2 | 2 | 2 | 2 | 13 |
| 66 | 17 | 25+ | 25+ | 25+ | 10 | 14 | 25+ | 25+ | 25+ |
| 65s | 2 | 3 | 7 | 22 | 2 | 2 | 3 | 7 | 22 |
| 64s | 2 | 2 | 3 | 16 | 2 | 2 | 2 | 3 | 16 |
| 63s | 2 | 2 | 2 | 11 | 2 | 2 | 2 | 2 | 11 |
| 62s | 1 | 1 | 1 | 6 | 1 | 1 | 1 | 1 | 6 |
| A5o | 5 | 9 | 14 | 25+ | 4 | 4 | 9 | 14 | 25+ |
| K5o | 3 | 4 | 6 | 13 | 2 | 3 | 4 | 6 | 13 |
| Q5o | 2 | 2 | 4 | 8 | 2 | 2 | 2 | 4 | 8 |
| J5o | 2 | 2 | 3 | 6 | 2 | 2 | 2 | 3 | 6 |
| T5o | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 2 | 4 |
| 95o | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 2 | 4 |
| 85o | 2 | 2 | 2 | 5 | 2 | 2 | 2 | 2 | 5 |
| 75o | 2 | 2 | 2 | 7 | 2 | 2 | 2 | 2 | 7 |
| 65o | 2 | 2 | 2 | 11 | 2 | 2 | 2 | 2 | 11 |
| 55 | 15 | 25+ | 25+ | 25+ | 8 | 12 | 25+ | 25+ | 25+ |
| 54s | 2 | 2 | 6 | 20 | 2 | 2 | 2 | 6 | 20 |
| 53s | 2 | 2 | 2 | 14 | 2 | 2 | 2 | 2 | 14 |
| 52s | 1 | 1 | 2 | 9 | 1 | 1 | 1 | 2 | 9 |
| A4o | 5 | 8 | 13 | 25+ | 3 | 4 | 8 | 13 | 25+ |
| K4o | 3 | 3 | 5 | 11 | 2 | 2 | 3 | 5 | 11 |
| Q4o | 2 | 2 | 3 | 8 | 2 | 2 | 2 | 3 | 8 |
| J4o | 2 | 2 | 2 | 5 | 2 | 2 | 2 | 2 | 5 |
| T4o | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 2 | 4 |
| 94o | 1 | 1 | 2 | 3 | 1 | 1 | 1 | 2 | 3 |
| 84o | 1 | 1 | 1 | 3 | 1 | 1 | 1 | 1 | 3 |
| 74o | 1 | 1 | 1 | 3 | 1 | 1 | 1 | 1 | 3 |
| 64o | 1 | 1 | 1 | 5 | 1 | 1 | 1 | 1 | 5 |
| 54o | 1 | 1 | 2 | 9 | 1 | 1 | 1 | 2 | 9 |
| 44 | 12 | 22 | 25+ | 25+ | 7 | 10 | 22 | 25+ | 25+ |
| 43s | 2 | 2 | 2 | 12 | 2 | 2 | 2 | 2 | 12 |
| 42s | 1 | 1 | 1 | 8 | 1 | 1 | 1 | 1 | 8 |
| A3o | 4 | 7 | 12 | 25+ | 3 | 4 | 7 | 12 | 25+ |
| K3o | 2 | 3 | 5 | 11 | 2 | 2 | 3 | 5 | 11 |
| Q3o | 2 | 2 | 3 | 7 | 2 | 2 | 2 | 3 | 7 |
| J3o | 2 | 2 | 2 | 5 | 2 | 2 | 2 | 2 | 5 |
| T3o | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 2 | 4 |
| 93o | 1 | 1 | 2 | 3 | 1 | 1 | 1 | 2 | 3 |
| 83o | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| 73o | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| 63o | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| 53o | 1 | 1 | 1 | 3 | 1 | 1 | 1 | 1 | 3 |
| 43o | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| 33 | 11 | 19 | 25+ | 25+ | 6 | 8 | 19 | 25+ | 25+ |
| 32s | 1 | 1 | 1 | 6 | 1 | 1 | 1 | 1 | 6 |
| A2o | 4 | 7 | 11 | 24 | 3 | 4 | 7 | 11 | 24 |
| K2o | 2 | 3 | 5 | 10 | 2 | 2 | 3 | 5 | 10 |
| Q2o | 2 | 2 | 3 | 6 | 2 | 2 | 2 | 3 | 6 |
| J2o | 2 | 2 | 2 | 5 | 2 | 2 | 2 | 2 | 5 |
| T2o | 2 | 2 | 2 | 3 | 2 | 2 | 2 | 2 | 3 |
| 92o | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| 82o | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 2 |
| 72o | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 62o | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 52o | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 42o | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 32o | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 22 | 9 | 15 | 24 | 25+ | 5 | 7 | 15 | 24 | 25+ |