XP / Level Calculator
Calculate XP needed to reach a target level from current level and XP curve type — linear, quadratic, or exponential.
Returns total XP and per-level.
XP (Experience Points) systems in games typically follow a scaling curve where each successive level requires more XP than the previous. The most common formulas are linear scaling, polynomial scaling, and exponential scaling. Understanding the math helps estimate grinding time and plan progression efficiently.
Common XP scaling formulas:
Linear: XP to next level = Base XP + (Level × Increment)
Polynomial (most common): XP to next level = Base × Level^Exponent
Exponential: XP to next level = Base × Multiplier^Level
Cumulative XP to reach level N:
Total XP = Σ (XP required for each level from 1 to N−1)
What each variable means:
- Base XP: the XP required to reach level 2 from level 1; the starting point
- Level: current level; the formula uses the current level to compute XP needed for the next level
- Exponent: controls how steeply requirements scale (common values: 1.5–2.5)
- Multiplier: for exponential curves; a multiplier of 1.5 means each level costs 50% more XP than the previous
- Total XP: the cumulative experience from level 1 to the target level
Worked example — Polynomial curve (exponent = 1.8): Base XP = 100. How much total XP to reach Level 10?
Level 1→2: 100 × 1^1.8 = 100 Level 2→3: 100 × 2^1.8 = 287 Level 3→4: 100 × 3^1.8 = 536 Level 4→5: 100 × 4^1.8 = 832 Level 5→6: 100 × 5^1.8 = 1,170 Level 6→7: 100 × 6^1.8 = 1,546 Level 7→8: 100 × 7^1.8 = 1,957 Level 8→9: 100 × 8^1.8 = 2,399 Level 9→10: 100 × 9^1.8 = 2,870 Total XP to reach Level 10 = 11,697
If a quest gives 500 XP: you need about 23.4 quests to go from Level 1 to Level 10.
Classic game XP curves:
- Pokémon (Medium Fast): Level^3 for total XP → Level 100 requires 1,000,000 XP
- RuneScape: Each level requires ~10% more XP than the previous → exponential
- World of Warcraft: Per-expansion custom tables (effectively polynomial)