Experience Table: Difference between revisions

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{| class="wikitable sortable"
'''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. [[Pets|Pet]] drop rate calculations are based on your Virtual Level, however that calculation will use your Virtual Level regardless of the setting.
!Level
 
!Experience
<onlyinclude>The experience difference between level <math display='inline'>L-1</math> and level <math display='inline'>L</math> is approximately <math display='inline'>\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 display='inline'>L</math>.
!XP to Next
 
{| class="wikitable alternating-rows sticky-header" style="text-align:right;" id="xp_table" <!-- this ID is an anchor for incoming links -->
! Level !! XP !! Difference
! rowspan="26" |
! Level !! XP !! Difference
! rowspan="26" |
! Level !! XP !! Difference
! rowspan="26" |
! Level !! XP !! Difference
|-
|-
| style ="text-align: right;" |1
| 1 || 0 || 0
| style ="text-align: right;" |0
| 26 || 8,740 || 898
| style ="text-align: right;" |83
| 51 || 111,945 || 10,612
| 76 || 1,336,443 || 126,022
|-
|-
| style ="text-align: right;" |2
| 2 || 83 || 83
| style ="text-align: right;" |83
| 27 || 9,730 || 990
| style ="text-align: right;" |91
| 52 || 123,660 || 11,715
| 77 || 1,475,581 || 139,138
|-
|-
| style ="text-align: right;" |3
| 3 || 174 || 91
| style ="text-align: right;" |174
| 28 || 10,824 || 1,094
| style ="text-align: right;" |102
| 53 || 136,594 || 12,934
| 78 || 1,629,200 || 153,619
|-
|-
| style ="text-align: right;" |4
| 4 || 276 || 102
| style ="text-align: right;" |276
| 29 || 12,031 || 1,207
| style ="text-align: right;" |112
| 54 || 150,872 || 14,278
| 79 || 1,798,808 || 169,608
|-
|-
| style ="text-align: right;" |5
| 5 || 388 || 112
| style ="text-align: right;" |388
| 30 || 13,363 || 1,332
| style ="text-align: right;" |124
| 55 || 166,636 || 15,764
| 80 || 1,986,068 || 187,260
|-
|-
| style ="text-align: right;" |6
| 6 || 512 || 124
| style ="text-align: right;" |512
| 31 || 14,833 || 1,470
| style ="text-align: right;" |138
| 56 || 184,040 || 17,404
| 81 || 2,192,818 || 206,750
|-
|-
| style ="text-align: right;" |7
| 7 || 650 || 138
| style ="text-align: right;" |650
| 32 || 16,456 || 1,623
| style ="text-align: right;" |151
| 57 || 203,254 || 19,214
| 82 || 2,421,087 || 228,269
|-
|-
| style ="text-align: right;" |8
| 8 || 801 || 151
| style ="text-align: right;" |801
| 33 || 18,247 || 1,791
| style ="text-align: right;" |168
| 58 || 224,466 || 21,212
| 83 || 2,673,114 || 252,027
|-
|-
| style ="text-align: right;" |9
| 9 || 969 || 168
| style ="text-align: right;" |969
| 34 || 20,224 || 1,977
| style ="text-align: right;" |185
| 59 || 247,886 || 23,420
| 84 || 2,951,373 || 278,259
|-
|-
| style ="text-align: right;" |10
| 10 || 1,154 || 185
| style ="text-align: right;" |1154
| 35 || 22,406 || 2,182
| style ="text-align: right;" |204
| 60 || 273,742 || 25,856
| 85 || 3,258,594 || 307,221
|-
|-
| style ="text-align: right;" |11
| 11 || 1,358 || 204
| style ="text-align: right;" |1358
| 36 || 24,815 || 2,409
| style ="text-align: right;" |226
| 61 || 302,288 || 28,546
| 86 || 3,597,792 || 339,198
|-
|-
| style ="text-align: right;" |12
| 12 || 1,584 || 226
| style ="text-align: right;" |1584
| 37 || 27,473 || 2,658
| style ="text-align: right;" |249
| 62 || 333,804 || 31,516
| 87 || 3,972,294|| 374,502
|-
|-
| style ="text-align: right;" |13
| 13 || 1,833 || 249
| style ="text-align: right;" |1833
| 38 || 30,408 || 2,935
| style ="text-align: right;" |274
| 63 || 368,599 || 34,795
| 88 || 4,385,776 || 413,482
|-
|-
| style ="text-align: right;" |14
| 14 || 2,107 || 274
| style ="text-align: right;" |2107
| 39 || 33,648 || 3,240
| style ="text-align: right;" |304
| 64 || 407,015 || 38,416
| 89 || 4,842,295 || 456,519
|-
|-
| style ="text-align: right;" |15
| 15 || 2,411 || 304
| style ="text-align: right;" |2411
| 40 || 37,224 || 3,576
| style ="text-align: right;" |335
| 65 || 449,428 || 42,413
| 90 || 5,346,332 || 504,037
|-
|-
| style ="text-align: right;" |16
| 16 || 2,746 || 335
| style ="text-align: right;" |2746
| 41 || 41,171 || 3,947
| style ="text-align: right;" |369
| 66 || 496,254 || 46,826
| 91 || 5,902,831 || 556,499
|-
|-
| style ="text-align: right;" |17
| 17 || 3,115 || 369
| style ="text-align: right;" |3115
| 42 || 45,529 || 4,358
| style ="text-align: right;" |408
| 67 || 547,953 || 51,699
| 92 || 6,517,253 || 614,422
|-
|-
| style ="text-align: right;" |18
| 18 || 3,523 || 408
| style ="text-align: right;" |3523
| 43 || 50,339 || 4,810
| style ="text-align: right;" |450
| 68 || 605,032 || 57,079
| 93 || 7,195,629 || 678,376
|-
|-
| style ="text-align: right;" |19
| 19 || 3,973 || 450
| style ="text-align: right;" |3973
| 44 || 55,649 || 5,310
| style ="text-align: right;" |497
| 69 || 668,051 || 63,019
| 94 || 7,944,614 || 748,985
|-
|-
| style ="text-align: right;" |20
| 20 || 4,470 || 497
| style ="text-align: right;" |4470
| 45 || 61,512 || 5,863
| style ="text-align: right;" |548
| 70 || 737,627 || 69,576
| 95 || 8,771,558 || 826,944
|-
|-
| style ="text-align: right;" |21
| 21 || 5,018 || 548
| style ="text-align: right;" |5018
| 46 || 67,983 || 6,471
| style ="text-align: right;" |606
| 71 || 814,445 || 76,818
| 96 || 9,684,577 || 913,019
|-
|-
| style ="text-align: right;" |22
| 22 || 5,624 || 606
| style ="text-align: right;" |5624
| 47 || 75,127 || 7,144
| style ="text-align: right;" |667
| 72 || 899,257 || 84,812
| 97 || 10,692,629 || 1,008,052
|-
|-
| style ="text-align: right;" |23
| 23 || 6,291 || 667
| style ="text-align: right;" |6291
| 48 || 83,014 || 7,887
| style ="text-align: right;" |737
| 73 || 992,895 || 93,638
| 98 || 11,805,606 || 1,112,977
|-
|-
| style ="text-align: right;" |24
| 24 || 7,028 || 737
| style ="text-align: right;" |7028
| 49 || 91,721 || 8,707
| style ="text-align: right;" |814
| 74 || 1,096,278 || 103,383
| 99 || 13,034,431 || 1,228,825
|-
|-
| style ="text-align: right;" |25
| 25 || 7,842 || 814
| style ="text-align: right;" |7842
| 50 || 101,333 || 9,612
| style ="text-align: right;" |898
| 75 || 1,210,421 || 114,143
|-
| colspan="3" |
| style ="text-align: right;" |26
|}</onlyinclude>
| style ="text-align: right;" |8740
 
| style ="text-align: right;" |990
The formula to calculate the amount of experience needed to reach level <math display='inline'>L</math> is:
|-
 
| style ="text-align: right;" |27
:<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>
| style ="text-align: right;" |9730
 
| style ="text-align: right;" |1094
If the floor functions are ignored, the resulting summation can be found in closed form to be:
|-
 
| style ="text-align: right;" |28
:<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>
| style ="text-align: right;" |10824
 
| style ="text-align: right;" |1207
The approximation is very accurate, always within 100 experience but usually less than around 10 experience.
|-
| style ="text-align: right;" |29
| style ="text-align: right;" |12031
| style ="text-align: right;" |1332
|-
| style ="text-align: right;" |30
| style ="text-align: right;" |13363
| style ="text-align: right;" |1470
|-
| style ="text-align: right;" |31
| style ="text-align: right;" |14833
| style ="text-align: right;" |1623
|-
| style ="text-align: right;" |32
| style ="text-align: right;" |16456
| style ="text-align: right;" |1791
|-
| style ="text-align: right;" |33
| style ="text-align: right;" |18247
| style ="text-align: right;" |1977
|-
| style ="text-align: right;" |34
| style ="text-align: right;" |20224
| style ="text-align: right;" |2182
|-
| style ="text-align: right;" |35
| style ="text-align: right;" |22406
| style ="text-align: right;" |2409
|-
| style ="text-align: right;" |36
| style ="text-align: right;" |24815
| style ="text-align: right;" |2658
|-
| style ="text-align: right;" |37
| style ="text-align: right;" |27473
| style ="text-align: right;" |2935
|-
| style ="text-align: right;" |38
| style ="text-align: right;" |30408
| style ="text-align: right;" |3240
|-
| style ="text-align: right;" |39
| style ="text-align: right;" |33648
| style ="text-align: right;" |3576
|-
| style ="text-align: right;" |40
| style ="text-align: right;" |37224
| style ="text-align: right;" |3947
|-
| style ="text-align: right;" |41
| style ="text-align: right;" |41171
| style ="text-align: right;" |4358
|-
| style ="text-align: right;" |42
| style ="text-align: right;" |45529
| style ="text-align: right;" |4810
|-
| style ="text-align: right;" |43
| style ="text-align: right;" |50339
| style ="text-align: right;" |5310
|-
| style ="text-align: right;" |44
| style ="text-align: right;" |55649
| style ="text-align: right;" |5863
|-
| style ="text-align: right;" |45
| style ="text-align: right;" |61512
| style ="text-align: right;" |6471
|-
| style ="text-align: right;" |46
| style ="text-align: right;" |67983
| style ="text-align: right;" |7144
|-
| style ="text-align: right;" |47
| style ="text-align: right;" |75127
| style ="text-align: right;" |7887
|-
| style ="text-align: right;" |48
| style ="text-align: right;" |83014
| style ="text-align: right;" |8707
|-
| style ="text-align: right;" |49
| style ="text-align: right;" |91721
| style ="text-align: right;" |9612
|-
| style ="text-align: right;" |50
| style ="text-align: right;" |101333
| style ="text-align: right;" |10612
|-
| style ="text-align: right;" |51
| style ="text-align: right;" |111945
| style ="text-align: right;" |11715
|-
| style ="text-align: right;" |52
| style ="text-align: right;" |123660
| style ="text-align: right;" |12934
|-
| style ="text-align: right;" |53
| style ="text-align: right;" |136594
| style ="text-align: right;" |14278
|-
| style ="text-align: right;" |54
| style ="text-align: right;" |150872
| style ="text-align: right;" |15764
|-
| style ="text-align: right;" |55
| style ="text-align: right;" |166636
| style ="text-align: right;" |17404
|-
| style ="text-align: right;" |56
| style ="text-align: right;" |184040
| style ="text-align: right;" |19214
|-
| style ="text-align: right;" |57
| style ="text-align: right;" |203254
| style ="text-align: right;" |21212
|-
| style ="text-align: right;" |58
| style ="text-align: right;" |224466
| style ="text-align: right;" |23420
|-
| style ="text-align: right;" |59
| style ="text-align: right;" |247886
| style ="text-align: right;" |25856
|-
| style ="text-align: right;" |60
| style ="text-align: right;" |273742
| style ="text-align: right;" |28546
|-
| style ="text-align: right;" |61
| style ="text-align: right;" |302288
| style ="text-align: right;" |31516
|-
| style ="text-align: right;" |62
| style ="text-align: right;" |333804
| style ="text-align: right;" |34795
|-
| style ="text-align: right;" |63
| style ="text-align: right;" |368599
| style ="text-align: right;" |38416
|-
| style ="text-align: right;" |64
| style ="text-align: right;" |407015
| style ="text-align: right;" |42413
|-
| style ="text-align: right;" |65
| style ="text-align: right;" |449428
| style ="text-align: right;" |46826
|-
| style ="text-align: right;" |66
| style ="text-align: right;" |496254
| style ="text-align: right;" |51699
|-
| style ="text-align: right;" |67
| style ="text-align: right;" |547953
| style ="text-align: right;" |57079
|-
| style ="text-align: right;" |68
| style ="text-align: right;" |605032
| style ="text-align: right;" |63019
|-
| style ="text-align: right;" |69
| style ="text-align: right;" |668051
| style ="text-align: right;" |69576
|-
| style ="text-align: right;" |70
| style ="text-align: right;" |737627
| style ="text-align: right;" |76818
|-
| style ="text-align: right;" |71
| style ="text-align: right;" |814445
| style ="text-align: right;" |84812
|-
| style ="text-align: right;" |72
| style ="text-align: right;" |899257
| style ="text-align: right;" |93638
|-
| style ="text-align: right;" |73
| style ="text-align: right;" |992895
| style ="text-align: right;" |103383
|-
| style ="text-align: right;" |74
| style ="text-align: right;" |1096278
| style ="text-align: right;" |114143
|-
| style ="text-align: right;" |75
| style ="text-align: right;" |1210421
| style ="text-align: right;" |126022
|-
| style ="text-align: right;" |76
| style ="text-align: right;" |1336443
| style ="text-align: right;" |139138
|-
| style ="text-align: right;" |77
| style ="text-align: right;" |1475581
| style ="text-align: right;" |153619
|-
| style ="text-align: right;" |78
| style ="text-align: right;" |1629200
| style ="text-align: right;" |169608
|-
| style ="text-align: right;" |79
| style ="text-align: right;" |1798808
| style ="text-align: right;" |187260
|-
| style ="text-align: right;" |80
| style ="text-align: right;" |1986068
| style ="text-align: right;" |206750
|-
| style ="text-align: right;" |81
| style ="text-align: right;" |2192818
| style ="text-align: right;" |228269
|-
| style ="text-align: right;" |82
| style ="text-align: right;" |2421087
| style ="text-align: right;" |252027
|-
| style ="text-align: right;" |83
| style ="text-align: right;" |2673114
| style ="text-align: right;" |278259
|-
| style ="text-align: right;" |84
| style ="text-align: right;" |2951373
| style ="text-align: right;" |307221
|-
| style ="text-align: right;" |85
| style ="text-align: right;" |3258594
| style ="text-align: right;" |339198
|-
| style ="text-align: right;" |86
| style ="text-align: right;" |3597792
| style ="text-align: right;" |374502
|-
| style ="text-align: right;" |87
| style ="text-align: right;" |3972294
| style ="text-align: right;" |413482
|-
| style ="text-align: right;" |88
| style ="text-align: right;" |4385776
| style ="text-align: right;" |456519
|-
| style ="text-align: right;" |89
| style ="text-align: right;" |4842295
| style ="text-align: right;" |504037
|-
| style ="text-align: right;" |90
| style ="text-align: right;" |5346332
| style ="text-align: right;" |556499
|-
| style ="text-align: right;" |91
| style ="text-align: right;" |5902831
| style ="text-align: right;" |614422
|-
| style ="text-align: right;" |92
| style ="text-align: right;" |6517253
| style ="text-align: right;" |678376
|-
| style ="text-align: right;" |93
| style ="text-align: right;" |7195629
| style ="text-align: right;" |748985
|-
| style ="text-align: right;" |94
| style ="text-align: right;" |7944614
| style ="text-align: right;" |826944
|-
| style ="text-align: right;" |95
| style ="text-align: right;" |8771558
| style ="text-align: right;" |913019
|-
| style ="text-align: right;" |96
| style ="text-align: right;" |9684577
| style ="text-align: right;" |1008052
|-
| style ="text-align: right;" |97
| style ="text-align: right;" |10692629
| style ="text-align: right;" |1112977
|-
| style ="text-align: right;" |98
| style ="text-align: right;" |11805606
| style ="text-align: right;" |1228825
|-
| style ="text-align: right;" |99
| style ="text-align: right;" |13034431
| style ="text-align: right;" |0
|}


{{Menu}}
{{Menu}}
[[Category:Guides]]

Revision as of 03:30, 5 May 2021

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. 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].

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.