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 almost no benefits. Pet drop rate calculations are based on your Virtual Level, however that calculation will use your Virtual Level regardless of the setting.
The experience difference between level [math]\displaystyle{ L-1 }[/math] and level [math]\displaystyle{ L }[/math] is approximately [math]\displaystyle{ \left\lfloor \frac{1}{4} \left( L-1+300\times 2^{\frac{L-1}{7}} \right) \right\rfloor }[/math]. The table below shows this experience difference for each level and also the cumulative experience from level 1 to level [math]\displaystyle{ L }[/math]. Note that experience levels are nonlinear and so the amount of experience between 1 and 92 is the same as the amount of experience between 92 and 99. Experience also doubles about every 7 levels. For example, the experience between 1 and 7 is 138 and the experience between 7 and 14 is 274, which is roughly double.
Levels 100-120
| Level |
XP |
Difference
|
|
Level |
XP |
Difference
|
|
Level |
XP |
Difference
|
| 100 |
14,391,160 |
1,356,729
|
107 |
28,782,069 |
2,713,437
|
114 |
57,563,718 |
5,426,849
|
| 101 |
15,889,109 |
1,497,949
|
108 |
31,777,943 |
2,995,874
|
115 |
63,555,443 |
5,991,725
|
| 102 |
17,542,976 |
1,653,867
|
109 |
35,085,654 |
3,307,711
|
116 |
70,170,840 |
6,615,397
|
| 103 |
19,368,992 |
1,826,016
|
110 |
38,737,661 |
3,652,007
|
117 |
77,474,828 |
7,303,988
|
| 104 |
21,385,073 |
2,016,081
|
111 |
42,769,801 |
4,032,140
|
118 |
85,539,082 |
8,064,254
|
| 105 |
23,611,006 |
2,225,933
|
112 |
47,221,641 |
4,451,840
|
119 |
94,442,737 |
8,903,655
|
| 106 |
26,068,632 |
2,457,626
|
113 |
52,136,869 |
4,915,228
|
120 |
104,273,167 |
9,830,430
|
The formula to calculate the amount of experience needed to reach level [math]\displaystyle{ L }[/math] is:
- [math]\displaystyle{ \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]\displaystyle{ \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.
Combat:
