3×3
The toughest board. 2048 is impossible here: the theoretical limit is 1024, so the goal is 256. Even a bot looking 3 moves ahead reached 256 in 34.3% of games and 512 in 0.15%.
| Who played | Games | 64 | 128 | 256 | 512 |
|---|---|---|---|---|---|
| Random moves | 20 000 | 9.18% | 0.02% | 0% | 0% |
| Corner rule (no thinking ahead) | 20 000 | 43.6% | 0.87% | 0% | 0% |
| Corner + looking 3 moves ahead (bot) | 2 000 | 99.9% | 91.8% | 34.3% | 0.15% |
Games are short, a minute or two: ideal while waiting in a queue.
5×5
Nine extra cells forgive mistakes, but you still cannot win without thinking: random moves reached 2048 in 0.42% of games and the corner rule in 5.78%. Looking 2 moves ahead got there every time.
| Who played | Games | 512 | 1024 | 2048 | 4096 |
|---|---|---|---|---|---|
| Random moves | 5 000 | 73.5% | 22.9% | 0.42% | 0% |
| Corner rule (no thinking ahead) | 5 000 | 83.1% | 39.2% | 5.78% | 0.06% |
| Corner + looking 2 moves ahead (bot) | 100 | 100% | 100% | 100% | 95% |
Scores on this leaderboard run far above 4×4: the aim is not 2048 but to survive as long as you can.
6×6
The most surprising result: on 6×6 random moves reached 2048 in 98% of games, while the plain corner rule managed only 70.8%. There is so much room that moving in every direction brings tiles together faster, whereas packing one corner leaves small tiles scattered across the board.
| Who played | Games | 1024 | 2048 | 4096 | 8192 |
|---|---|---|---|---|---|
| Random moves | 2 000 | 99.9% | 98% | 85.5% | 40.1% |
| Corner rule (no thinking ahead) | 2 000 | 95% | 70.8% | 25.8% | 2.45% |
| Corner + looking 2 moves ahead (bot) | 50 | 100% | 100% | 100% | — |
Percentages: the share of games that reached that tile. “—”: the bots were stopped earlier to save time.
The interesting question here is not whether you get there but how far you go. 40.1% of random games reached 8192, and an average game lasts 4 492 moves. Huge tiles like 131072 come within reach on this board.
How many moves does 2048 take
Even on a bigger board the number of moves hardly changes. Each move adds 2.2 to the board on average, so 2048 takes at least about 930 moves. For the bot in the simulation the median was 991 moves on 4×4, 1 073 on 5×5 and 1 081 on 6×6.
FAQ
Can you reach 2048 on 3×3?
No, it is mathematically impossible: the highest tile on 9 cells is 1024. That is why the goal here is 256.
Which board is the easiest?
For reaching 2048, 6×6. For a high score it is also the longest: a game can last for hours.
Does each board have its own leaderboard?
Yes: today, this-week and all-time tables are separate for each board, since scores between boards are not comparable.
2048 strategythe corner method, with simulation data
2048 rulesmerging, score, game over
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