Experience

Опыт, commonly known as XP, is gained through skill-related tasks or through items that grant fixed amounts and serves as a measure of progress in a skill.

Experience table

Level	Exp.	Exp. Diff		Level	Exp.	Exp. Diff		Level	Exp.	Exp. Diff
1	0	0	26	3,512	360	51	44,581	3,987	76	191,278	7,600
2	33	33	27	3,910	398	52	48,717	4,136	77	199,022	7,744
3	70	37	28	4,349	439	53	52,997	4,280	78	206,911	7,889
4	111	41	29	4,833	484	54	57,421	4,424	79	214,944	8,033
5	156	45	30	5,367	534	55	61,990	4,569	80	223,122	8,178
6	206	50	31	5,957	590	56	66,702	4,712	81	231,444	8,322
7	261	55	32	6,608	651	57	71,560	4,858	82	239,910	8,466
8	322	61	33	7,326	718	58	76,562	5,002	83	248,521	8,611
9	389	67	34	8,118	792	59	81,708	5,146	84	257,276	8,755
10	463	74	35	8,993	875	60	86,998	5,290	85	266,176	8,900
11	545	82	36	9,958	965	61	92,433	5,435	86	275,219	9,043
12	636	91	37	11,023	1,065	62	98,012	5,579	87	284,407	9,188
13	736	100	38	12,199	1,176	63	103,735	5,723	88	293,740	9,333
14	847	111	39	13,496	1,297	64	109,603	5,868	89	303,217	9,477
15	969	122	40	14,929	1,433	65	115,616	6,013	90	312,838	9,621
16	1,104	135	41	16,510	1,581	66	121,772	6,156	91	322,604	9,766
17	1,253	149	42	18,255	1,745	67	128,073	6,301	92	332,514	9,910
18	1,417	164	43	20,181	1,926	68	134,518	6,445	93	342,568	10,054
19	1,598	181	44	22,307	2,126	69	141,108	6,590	94	395,129	52,561
20	1,798	200	45	24,654	2,347	70	147,842	6,734	95	447,689	52,560
21	2,018	220	46	27,245	2,591	71	154,721	6,879	96	543,044	95,355
22	2,261	243	47	30,105	2,860	72	161,743	7,022	97	666,881	123,837
23	2,529	268	48	33,262	3,157	73	168,910	7,167	98	819,200	152,319
24	2,825	296	49	36,747	3,485	74	176,222	7,312	99	1,000,000	180,800
25	3,152	327	50	40,594	3,847	75	183,678	7,456

Experience chart

The following graph plots each point with x being the level and y being the experience:

Formulae

The amount of experience required to advance to level L is calculated using a piecewise function:

Total XP(L)={⌊c∑i=1L−1⌊i+300⋅2i/7⌋⌋if 1≤L≤93342,568+⌊52,560.5(L−93)⌋if 94≤L≤9514,241(L−95)2+81,114(L−95)+447,689if 96≤L≤99

Following this piecewise function would provide the graph:

Levels 1-93

The first part of the piecewise function utilises RuneScape's standard recursive notation, taking the previous level's experience and adding an exponentially growing term, using:

⌊i+300⋅2i/7⌋

Levels 94-95

Levels 94 and 95 are approximately linear, starting at level 93 (342,568 experience), then jumping to level 94 (395,129 experience) by 52,561, and to level 95 (447,689 experience) by 52,560.

Calculating the quadratic coefficients

Levels 96 to 99 use the quadratic equation, f(x)=ax2+bx+c, where a is half of the second difference (a.k.a, taking another difference after subtracting the difference needed from level 95 to 96 and level 96 to 97). This is shown with the following:

f(96)−f(95)=543,044−447,689=95,355
f(97)−f(96)=666,881−543,044=123,837
123,837−95,355=28,482
a=28,4822=14,241

Calculating the determinant (b)

Since c is the starting value at level 95 (447,689 experience), use f(x)=ax2+bx+c and substitute f(x) for level 96 (with 543,044) to get the b coefficient:

543,044=14,241+b+447,689
b=81,114, making the following function from level 96 to 99:

14,241(L−95)2+81,114(L−95)+447,689

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