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Enchanting/Levels

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The minimum values are all calculated using a linear function y = kx+m where y is the calculated minimum value, x is the current enchantment power level and k and m varies between different enchantments. The maximum values are all the minimum values plus a constant that varies for each enchantment.



Please note
These are not the levels you need to pay to be able to receive specific enchantments, you must also take into account the modification of levels that occur in step one.
Armor Enchantment Modified Enchantment level
I II III IV V
Protection 1–21 12–32 23–43 34–54
Fire Protection 10–22 18–30 26–38 34–46
Feather Fall 5–15 11–21 17–27 23–33
Blast Protection 5–17 13–25 21–33 29–41
Projectile Protection 3–18 9–24 15–30 21–36
Respiration 10–40 20–50 30–60
Aqua Affinity 1–41
Thorns 10–60 30–80 50–100
Sword Enchantment Modified Enchantment level
I II III IV V
Sharpness 1–21 12–32 23–43 34–54 45–65
Smite 5–25 13–33 21–41 29–49 37–57
Bane of Arthropods 5–25 13–33 21–41 29–49 37–57
Knockback 5–55 25–75
Fire Aspect 10–60 30–80
Looting 15–65 24–74 33–83
Bow Enchantment Modified Enchantment level
I II III IV V
Power 1–16 11–26 21–36 31–46 41–56
Punch 12–37 32–57
Flame 20–50
Infinity 20–50
Tool Enchantment Modified Enchantment level
I II III IV V
Efficiency 1–51 11–61 21–71 31–81 41–91
Silk Touch 15–65
Unbreaking 5–55 13–63 21–71
Fortune 15–65 24–74 33–83
Fishing Rod Enchantment Modified Enchantment level
I II III IV V
Luck of the Sea 15–65 24–74 33–83
Lure 15–65 24–74 33–83

Source:[1]

Note: that extremely high modified enchantment levels can fall outside the ranges of all valid enchantments for the item. If this happens, the item is left un-enchanted, but you are not charged any experience levels and can try enchanting it again.

  1. Minecraft 1.4.6 source code