Experience Table: Difference between revisions

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'''Note:''' Enabling "Virtual Levels" in the [[Settings]] will show the player if they would be on a level higher than 99 ({{TotH}} 120), even though this gives almost no benefits. [[Pets|Pet]] drop rate calculations are based on your Virtual Level, however note that calculation will use your Virtual Level regardless of the setting.
'''Note:''' Enabling "Virtual Levels" in the [[Settings]] will show the player if they would be on a level higher than 99 ({{TotH}} 120). [[Pets|Pet]] drop rate calculations are based on your Virtual Level, however note that calculation will use your Virtual Level regardless of the setting.


<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>. 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 7 and 8 is 138 and the experience between 14 and 15 is 274, which is roughly double.
<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>. 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 7 and 8 is 138 and the experience between 14 and 15 is 274, which is roughly double.
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The approximation is very accurate, always within 100 experience but usually less than around 10 experience.
The approximation is very accurate, always within 100 experience but usually less than around 10 experience.
=== XP Boosts ===
For a list of boosts that apply to all skills, see the [[Skill Boosts]] page.
{| class="wikitable"
! Skill
! Page
|-
| {{Skill|Farming}} || [[Farming/Boosts#XP Boosts|Farming XP Boosts]]
|-
| {{Skill|Township}} || [[Township/Boosts#XP Boosts|Township XP Boosts]]
|-
| {{Skill|Woodcutting}} || [[Woodcutting/Boosts#XP Boosts|Woodcutting XP Boosts]]
|-
| {{Skill|Fishing}} || [[Fishing/Boosts#XP Boosts|Fishing XP Boosts]]
|-
| {{Skill|Firemaking}} || [[Firemaking/Boosts#XP Boosts|Firemaking XP Boosts]]
|-
| {{Skill|Cooking}} || [[Cooking/Boosts#XP Boosts|Cooking XP Boosts]]
|-
| {{Skill|Mining}} || [[Mining/Boosts#XP Boosts|Mining XP Boosts]]
|-
| {{Skill|Smithing}} || [[Smithing/Boosts#XP Boosts|Smithing XP Boosts]]
|-
| {{Skill|Thieving}} || [[Thieving/Boosts#XP Boosts|Thieving XP Boosts]]
|-
| {{Skill|Fletching}} || [[Fletching/Boosts#XP Boosts|Fletching XP Boosts]]
|-
| {{Skill|Crafting}} || [[Crafting/Boosts#XP Boosts|Crafting XP Boosts]]
|-
| {{Skill|Runecrafting}} || [[Runecrafting/Boosts#XP Boosts|Runecrafting XP Boosts]]
|-
| {{Skill|Herblore}} || [[Herblore/Boosts#XP Boosts|Herblore XP Boosts]]
|-
| {{Skill|Agility}} || [[Agility/Boosts#XP Boosts|Agility XP Boosts]]
|-
| {{Skill|Summoning}} || [[Summoning/Boosts#XP Boosts|Summoning XP Boosts]]
|-
| {{Skill|Astrology}} || [[Astrology/Boosts#XP Boosts|Astrology XP Boosts]]
|-
| {{Skill|Alternative Magic}} || [[Alternative Magic/Boosts#XP Boosts|Alternative Magic XP Boosts]]
|-
| {{Skill|Cartography}} || [[Cartography/Boosts#XP Boosts|Cartography XP Boosts]]
|-
| {{Skill|Archaeology}} || [[Archaeology/Boosts#XP Boosts|Archaeology XP Boosts]]
|}


==Abyssal Exp Table==
==Abyssal Exp Table==
{{ItA}}[[Into the Abyss Expansion|Into the Abyss]] skills have a maximum abyssal skill level of 60. The maximum {{Icon|Mastery}} level is 99 and follows the Skill Exp Table above.
{{ItA}}[[Into the Abyss Expansion|Into the Abyss]] adds a new level called Abyssal Levels. The maximum Abyssal Level is 60 for all skills, excluding {{Skill|Cartography}} and {{Skill|Archaeology}} which do not have abyssal levels. The maximum {{Icon|Mastery}} level for Into the Abyss items is 99 and follows the Skill Exp Table above.
{| class="wikitable" style="text-align:right;" id="abyssal_xp_table" <!-- this ID is an anchor for incoming links -->
{| class="wikitable" style="text-align:right;" id="abyssal_xp_table" <!-- this ID is an anchor for incoming links -->
|- class="headerRow-0"
|- class="headerRow-0"
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This is essentially the same as the formula for the regular experience table, except that Abyssal level 1 equals regular level 98.
This is essentially the same as the formula for the regular experience table, except that Abyssal level 1 equals regular level 98.
=== AXP Boosts ===
For a list of boosts that apply to all skills, see the [[Skill Boosts]] page.
{| class="wikitable"
! Skill
! Page
|-
| {{Skill|Corruption}} || [[Corruption/Boosts#AXP Boosts|Corruption AXP Boosts]]
|-
| {{Skill|Farming}} || [[Farming/Boosts#AXP Boosts|Farming AXP Boosts]]
|-
| {{Skill|Township}} || [[Township/Boosts#AXP Boosts|Township AXP Boosts]]
|-
| {{Skill|Woodcutting}} || [[Woodcutting/Boosts#AXP Boosts|Woodcutting AXP Boosts]]
|-
| {{Skill|Fishing}} || [[Fishing/Boosts#AXP Boosts|Fishing AXP Boosts]]
|-
| {{Skill|Firemaking}} || [[Firemaking/Boosts#AXP Boosts|Firemaking AXP Boosts]]
|-
| {{Skill|Cooking}} || [[Cooking/Boosts#AXP Boosts|Cooking AXP Boosts]]
|-
| {{Skill|Mining}} || [[Mining/Boosts#AXP Boosts|Mining AXP Boosts]]
|-
| {{Skill|Smithing}} || [[Smithing/Boosts#AXP Boosts|Smithing AXP Boosts]]
|-
| {{Skill|Thieving}} || [[Thieving/Boosts#AXP Boosts|Thieving AXP Boosts]]
|-
| {{Skill|Fletching}} || [[Fletching/Boosts#AXP Boosts|Fletching AXP Boosts]]
|-
| {{Skill|Crafting}} || [[Crafting/Boosts#AXP Boosts|Crafting AXP Boosts]]
|-
| {{Skill|Runecrafting}} || [[Runecrafting/Boosts#AXP Boosts|Runecrafting AXP Boosts]]
|-
| {{Skill|Herblore}} || [[Herblore/Boosts#AXP Boosts|Herblore AXP Boosts]]
|-
| {{Skill|Agility}} || [[Agility/Boosts#AXP Boosts|Agility AXP Boosts]]
|-
| {{Skill|Summoning}} || [[Summoning/Boosts#AXP Boosts|Summoning AXP Boosts]]
|-
| {{Skill|Astrology}} || [[Astrology/Boosts#AXP Boosts|Astrology AXP Boosts]]
|-
| {{Skill|Harvesting}} || [[Harvesting/Boosts#AXP Boosts|Harvesting AXP Boosts]]
|}


{{Menu}}
{{Menu}}

Latest revision as of 02:12, 26 August 2024

Note: Enabling "Virtual Levels" in the Settings will show the player if they would be on a level higher than 99 ( 120). Pet drop rate calculations are based on your Virtual Level, however note 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 7 and 8 is 138 and the experience between 14 and 15 is 274, which is roughly double.

Skill Exp Table

The base game has a maximum skill and

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Mastery

level of 99, with the Throne of the Herald Expansion the skill level maximum is increased to 120.

Level XP Difference Level XP Difference Level XP Difference Level XP Difference Level XP Difference
1 0 0 26 8,740 898 51 111,945 10,612 76 1,336,443 126,022 101 15,889,109 1,497,949
2 83 83 27 9,730 990 52 123,660 11,715 77 1,475,581 139,138 102 17,542,976 1,653,867
3 174 91 28 10,824 1,094 53 136,594 12,934 78 1,629,200 153,619 103 19,368,992 1,826,016
4 276 102 29 12,031 1,207 54 150,872 14,278 79 1,798,808 169,608 104 21,385,073 2,016,081
5 388 112 30 13,363 1,332 55 166,636 15,764 80 1,986,068 187,260 105 23,611,006 2,225,933
6 512 124 31 14,833 1,470 56 184,040 17,404 81 2,192,818 206,750 106 26,068,632 2,457,626
7 650 138 32 16,456 1,623 57 203,254 19,214 82 2,421,087 228,269 107 28,782,069 2,713,437
8 801 151 33 18,247 1,791 58 224,466 21,212 83 2,673,114 252,027 108 31,777,943 2,995,874
9 969 168 34 20,224 1,977 59 247,886 23,420 84 2,951,373 278,259 109 35,085,654 3,307,711
10 1,154 185 35 22,406 2,182 60 273,742 25,856 85 3,258,594 307,221 110 38,737,661 3,652,007
11 1,358 204 36 24,815 2,409 61 302,288 28,546 86 3,597,792 339,198 111 42,769,801 4,032,140
12 1,584 226 37 27,473 2,658 62 333,804 31,516 87 3,972,294 374,502 112 47,221,641 4,451,840
13 1,833 249 38 30,408 2,935 63 368,599 34,795 88 4,385,776 413,482 113 52,136,869 4,915,228
14 2,107 274 39 33,648 3,240 64 407,015 38,416 89 4,842,295 456,519 114 57,563,718 5,426,849
15 2,411 304 40 37,224 3,576 65 449,428 42,413 90 5,346,332 504,037 115 63,555,443 5,991,725
16 2,746 335 41 41,171 3,947 66 496,254 46,826 91 5,902,831 556,499 116 70,170,840 6,615,397
17 3,115 369 42 45,529 4,358 67 547,953 51,699 92 6,517,253 614,422 117 77,474,828 7,303,988
18 3,523 408 43 50,339 4,810 68 605,032 57,079 93 7,195,629 678,376 118 85,539,082 8,064,254
19 3,973 450 44 55,649 5,310 69 668,051 63,019 94 7,944,614 748,985 119 94,442,737 8,903,655
20 4,470 497 45 61,512 5,863 70 737,627 69,576 95 8,771,558 826,944 120 104,273,167 9,830,430
21 5,018 548 46 67,983 6,471 71 814,445 76,818 96 9,684,577 913,019
22 5,624 606 47 75,127 7,144 72 899,257 84,812 97 10,692,629 1,008,052
23 6,291 667 48 83,014 7,887 73 992,895 93,638 98 11,805,606 1,112,977
24 7,028 737 49 91,721 8,707 74 1,096,278 103,383 99 13,034,431 1,228,825
25 7,842 814 50 101,333 9,612 75 1,210,421 114,143 100 14,391,160 1,356,729


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.

XP Boosts

For a list of boosts that apply to all skills, see the Skill Boosts page.

Skill Page
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Farming
Farming XP Boosts
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Township
Township XP Boosts
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Woodcutting
Woodcutting XP Boosts
Error creating thumbnail: File missing
Fishing
Fishing XP Boosts
Error creating thumbnail: File missing
Firemaking
Firemaking XP Boosts
Error creating thumbnail: File missing
Cooking
Cooking XP Boosts
Error creating thumbnail: File missing
Mining
Mining XP Boosts
Error creating thumbnail: File missing
Smithing
Smithing XP Boosts
Error creating thumbnail: File missing
Thieving
Thieving XP Boosts
Error creating thumbnail: File missing
Fletching
Fletching XP Boosts
Error creating thumbnail: File missing
Crafting
Crafting XP Boosts
Error creating thumbnail: File missing
Runecrafting
Runecrafting XP Boosts
Error creating thumbnail: File missing
Herblore
Herblore XP Boosts
Error creating thumbnail: File missing
Agility
Agility XP Boosts
Error creating thumbnail: File missing
Summoning
Summoning XP Boosts
Error creating thumbnail: File missing
Astrology
Astrology XP Boosts
Error creating thumbnail: File missing
Alternative Magic
Alternative Magic XP Boosts
Error creating thumbnail: File missing
Cartography
Cartography XP Boosts
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Archaeology
Archaeology XP Boosts

Abyssal Exp Table

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Into the Abyss adds a new level called Abyssal Levels. The maximum Abyssal Level is 60 for all skills, excluding

Error creating thumbnail: File missing
Cartography

and

Error creating thumbnail: File missing
Archaeology

which do not have abyssal levels. The maximum

Error creating thumbnail: File missing
Mastery

level for Into the Abyss items is 99 and follows the Skill Exp Table above.

Level XP Difference Level XP Difference Level XP Difference
1 0 0 21 81,408,306 8,903,655 41 671,272,470 64,513,832
2 1,356,729 1,356,729 22 91,238,736 9,830,430 42 742,501,512 71,229,042
3 2,854,678 1,497,949 23 102,092,407 10,853,671 43 821,144,747 78,643,235
4 4,508,545 1,653,867 24 114,075,829 11,983,422 44 907,973,915 86,829,168
5 6,334,561 1,826,016 25 127,306,597 13,230,768 45 1,003,841,085 95,867,170
6 8,350,642 2,016,081 26 141,914,546 14,607,949 46 1,109,687,018 105,845,933
7 10,576,575 2,225,933 27 158,043,026 16,128,480 47 1,226,550,400 116,863,382
8 13,034,201 2,457,626 28 175,850,309 17,807,283 48 1,355,578,031 129,027,631
9 15,747,638 2,713,437 29 195,511,141 19,660,832 49 1,498,036,082 142,458,051
10 18,743,512 2,995,874 30 217,218,455 21,707,314 50 1,655,322,519 157,286,437
11 22,051,223 3,307,711 31 241,185,271 23,966,816 51 1,828,980,821 173,658,302
12 25,703,230 3,652,007 32 267,646,778 26,461,507 52 2,020,715,127 191,734,306
13 29,735,370 4,032,140 33 296,862,647 29,215,869 53 2,232,406,961 211,691,834
14 34,187,210 4,451,840 34 329,119,578 32,256,931 54 2,466,133,690 233,726,729
15 39,102,438 4,915,228 35 364,734,114 35,614,536 55 2,724,188,918 258,055,228
16 44,529,287 5,426,849 36 404,055,748 39,321,634 56 3,009,104,985 284,916,067
17 50,521,012 5,991,725 37 447,470,347 43,414,599 57 3,323,677,824 314,572,839
18 57,136,409 6,615,397 38 495,403,948 47,933,601 58 3,670,994,392 347,316,568
19 64,440,397 7,303,988 39 548,326,931 52,922,983 59 4,054,462,970 383,468,578
20 72,504,651 8,064,254 40 606,758,638 58,431,707 60 4,477,846,601 423,383,631

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=99}^{L + 97}}\left\lfloor{\ell + 300\cdot2^{\ell/7}}\right\rfloor\right\rfloor }[/math]

This is essentially the same as the formula for the regular experience table, except that Abyssal level 1 equals regular level 98.

AXP Boosts

For a list of boosts that apply to all skills, see the Skill Boosts page.

Skill Page
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Corruption
Corruption AXP Boosts
Error creating thumbnail: File missing
Farming
Farming AXP Boosts
Error creating thumbnail: File missing
Township
Township AXP Boosts
Error creating thumbnail: File missing
Woodcutting
Woodcutting AXP Boosts
Error creating thumbnail: File missing
Fishing
Fishing AXP Boosts
Error creating thumbnail: File missing
Firemaking
Firemaking AXP Boosts
Error creating thumbnail: File missing
Cooking
Cooking AXP Boosts
Error creating thumbnail: File missing
Mining
Mining AXP Boosts
Error creating thumbnail: File missing
Smithing
Smithing AXP Boosts
Error creating thumbnail: File missing
Thieving
Thieving AXP Boosts
Error creating thumbnail: File missing
Fletching
Fletching AXP Boosts
Error creating thumbnail: File missing
Crafting
Crafting AXP Boosts
Error creating thumbnail: File missing
Runecrafting
Runecrafting AXP Boosts
Error creating thumbnail: File missing
Herblore
Herblore AXP Boosts
Error creating thumbnail: File missing
Agility
Agility AXP Boosts
Error creating thumbnail: File missing
Summoning
Summoning AXP Boosts
Error creating thumbnail: File missing
Astrology
Astrology AXP Boosts
Error creating thumbnail: File missing
Harvesting
Harvesting AXP Boosts