Experience Table

From Melvor Idle
Note: Enabling "Virtual Levels" in the Settings will show the player if they would be on a level higher than 99, even though this gives no benefits. The experience difference between level [math]L-1[/math] and level [math]L[/math] is approximately [math]\left\lfloor \frac{1}{4} \left( L-1+300\times 2^{\frac{L-1}{7}} \right) \right\rfloor[/math]. The table below show this experience difference for each level and also the cumulative experience from level 1 to level [math]L[/math].

The formula needed to calculate the amount of experience needed to reach level L is:

[math]\text{Experience} = \left \lfloor{\frac{1}{4}\sum_{\ell=1}^{L-1}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor[/math]

If the floor functions are ignored, the resulting summation can be found in closed form to be:

[math]\text{Experience} \approx \frac{1}{8} \left( {L}^{2} - L + 600 \, \frac{{2}^{L/7}-2^{1/7}} {{2}^{1/7}-1} \right)[/math]

The approximation is very accurate, always within 100 experience but usually less than around 10 experience.

Melvor Idle version v0.18.2 (Released: 6th January 2021)
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Reference Tables: Items, Equipment, Experience Table, Upgrading Items, Dungeons, Chest Loot Tables, Monsters, Monster Loot Tables