Experience

Experience, commonly abbreviated as EXP or XP, is a measure of progress for skills. It is obtained by performing tasks related to that skill. Experience can also be gained through other means, such as quests, the book of knowledge from the Surprise Exam random event, a lamp from the genie random event, certain minigames, and lamps for completing parts of the Achievement Diary and Combat Achievements.

After gaining a certain amount of experience, players will advance to the next level in that skill, which can result in new abilities, and the chance to try more quests. The amount of experience needed for the next level is approximately 10% more than the last level. For example, 83 experience is required for advancement to level 2, while 91 experience is required for advancement to level 3. Reaching level 99 in a skill requires a total of 13,034,431 experience. By around level 30, the exponential factor predominates, so that the amount of experience required doubles for each 7th level. Accordingly, level 92 is nearly the exact halfway mark to level 99, requiring 6,517,253 experience, and level 85 requires very nearly one quarter of the experience needed for level 99. The "92 is half of 99" rule can be seen visually below.

Experience is stored as a signed integer with 32 bit length, that is treated like a fixed-point number with one decimal place, although the game does not display decimal values; for example, if a player receives two experience drops of 2.5, the first is shown as 2 and the second as 3 (or vice versa depending on their existing experience points). Experience values that would have multiple decimal points, such as through multiplication with experience-boosting sets, are rounded down to one decimal. The maximum value of a signed integer is 2,147,483,647, treating the ones as the first decimal place, it has a max value of 214,748,364.7, hence the experience that can be obtained in one skill is capped at 200,000,000. The skill can still be trained afterwards, but no experience will be received.

Experience table

"Experience table" redirects here. For lists of all experience sources, see Category:Experience tables.

Levels 1-99

The experience difference between level ${\textstyle L-1}$ and level ${\textstyle L}$ is ${\textstyle {\frac {1}{4}}\left\lfloor L-1+300\cdot 2^{\frac {L-1}{7}}\right\rfloor }$. The tables below show this experience difference for each level and also the cumulative experience from level 1 to level ${\textstyle L}$.

Level	Exp.	Exp. Diff	% to 99		Level	Exp.	Exp. Diff	% to 99		Level	Exp.	Exp. Diff	% to 99		Level	Exp.	Exp. Diff	% to 99
1	0	N/A	0.00		26	8,740	898	0.07		51	111,945	10,612	0.86		76	1,336,443	126,022	10.25
2	83	83	0.00		27	9,730	990	0.07		52	123,660	11,715	0.95		77	1,475,581	139,138	11.32
3	174	91	0.00		28	10,824	1,094	0.08		53	136,594	12,934	1.05		78	1,629,200	153,619	12.50
4	276	102	0.00		29	12,031	1,207	0.09		54	150,872	14,278	1.16		79	1,798,808	169,608	13.80
5	388	112	0.00		30	13,363	1,332	0.10		55	166,636	15,764	1.28		80	1,986,068	187,260	15.24
6	512	124	0.00		31	14,833	1,470	0.11		56	184,040	17,404	1.41		81	2,192,818	206,750	16.82
7	650	138	0.00		32	16,456	1,623	0.13		57	203,254	19,214	1.56		82	2,421,087	228,269	18.57
8	801	151	0.01		33	18,247	1,791	0.14		58	224,466	21,212	1.72		83	2,673,114	252,027	20.51
9	969	168	0.01		34	20,224	1,977	0.16		59	247,886	23,420	1.90		84	2,951,373	278,259	22.64
10	1,154	185	0.01		35	22,406	2,182	0.17		60	273,742	25,856	2.10		85	3,258,594	307,221	25.00
11	1,358	204	0.01		36	24,815	2,409	0.19		61	302,288	28,546	2.32		86	3,597,792	339,198	27.60
12	1,584	226	0.01		37	27,473	2,658	0.21		62	333,804	31,516	2.56		87	3,972,294	374,502	30.48
13	1,833	249	0.01		38	30,408	2,935	0.23		63	368,599	34,795	2.83		88	4,385,776	413,482	33.65
14	2,107	274	0.02		39	33,648	3,240	0.26		64	407,015	38,416	3.12		89	4,842,295	456,519	37.15
15	2,411	304	0.02		40	37,224	3,576	0.29		65	449,428	42,413	3.45		90	5,346,332	504,037	41.02
16	2,746	335	0.02		41	41,171	3,947	0.32		66	496,254	46,826	3.81		91	5,902,831	556,499	45.29
17	3,115	369	0.02		42	45,529	4,358	0.35		67	547,953	51,699	4.20		92	6,517,253	614,422	50.00
18	3,523	408	0.03		43	50,339	4,810	0.39		68	605,032	57,079	4.64		93	7,195,629	678,376	55.20
19	3,973	450	0.03		44	55,649	5,310	0.43		69	668,051	63,019	5.13		94	7,944,614	748,985	60.95
20	4,470	497	0.03		45	61,512	5,863	0.47		70	737,627	69,576	5.66		95	8,771,558	826,944	67.30
21	5,018	548	0.04		46	67,983	6,471	0.52		71	814,445	76,818	6.25		96	9,684,577	913,019	74.30
22	5,624	606	0.04		47	75,127	7,144	0.58		72	899,257	84,812	6.90		97	10,692,629	1,008,052	82.03
23	6,291	667	0.05		48	83,014	7,887	0.64		73	992,895	93,638	7.62		98	11,805,606	1,112,977	90.57
24	7,028	737	0.05		49	91,721	8,707	0.70		74	1,096,278	103,383	8.41		99	13,034,431	1,228,825	100.00
25	7,842	814	0.06		50	101,333	9,612	0.78		75	1,210,421	114,143	9.29

Virtual levels

While skills cannot be levelled past 99, players sometimes use "virtual" levels to track their XP amounts beyond the level cap.

Level	Exp.	Exp. Diff		Level	Exp.	Exp. Diff		Level	Exp.	Exp. Diff
100	14,391,160	1,356,729		109	35,085,654	3,307,711		118	85,539,082	8,064,254
101	15,889,109	1,497,949		110	38,737,661	3,652,007		119	94,442,737	8,903,655
102	17,542,976	1,653,867		111	42,769,801	4,032,140		120	104,273,167	9,830,430
103	19,368,992	1,826,016		112	47,221,641	4,451,840		121	115,126,838	10,853,671
104	21,385,073	2,016,081		113	52,136,869	4,915,228		122	127,110,260	11,983,422
105	23,611,006	2,225,933		114	57,563,718	5,426,849		123	140,341,028	13,230,768
106	26,068,632	2,457,626		115	63,555,443	5,991,725		124	154,948,977	14,607,949
107	28,782,069	2,713,437		116	70,170,840	6,615,397		125	171,077,457	16,128,480
108	31,777,943	2,995,874		117	77,474,828	7,303,988		126	188,884,740	17,807,283
								Max	200,000,000	11,115,260

Formula

The formula needed to calculate the amount of experience needed to reach level ${\textstyle L}$ is:

${\text{Experience}}=\left\lfloor {{\frac {1}{4}}\sum _{\ell =1}^{L-1}}\left\lfloor {\ell +300\cdot 2^{\ell /7}}\right\rfloor \right\rfloor$

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

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

The approximation is very accurate, always being within 14 experience of the true value.

One final approximation is

${\text{Experience}}\approx {\frac {1}{8}}\left({L}^{2}-L+600\,{\frac {{2}^{L/7}-2^{1/7}}{{2}^{1/7}-1}}\right)-{\frac {L}{10}}-\gamma ={\frac {L^{2}}{8}}-{\frac {9}{40}}L+75\,{\frac {2^{L/7}-2^{1/7}}{2^{1/7}-1}}-\gamma$

where ${\textstyle \gamma }$ is the Euler–Mascheroni constant. This approximation always gives an answer within 1 experience of the true value.

Graphs

The experience required for each level can be graphed. Graphing the experience required on a linear scale shows that the experience required is essentially exponential.

Graphing the same data on a logarithmic scale shows that the function starts being exponential around level 15.

"92 is half of 99" rule

Roughly after level 20, the experience required to reach 7 more levels in a skill is nearly the same amount of experience required to reach the current level of a skill, hence the total experience at level 92 being half of the total experience at level 99.

This "X is half of X+7" rule becomes more accurate the higher the skill level is:

See also

• Quest experience rewards (skill experience earned for the completion of quests)
• 200 million experience
• Experience rate (maximum possible hourly experience rates vary for each skill)
• Combat