Intelligence

is one of the core player statistics. It increases maximum, increases magic damage dealt, and regeneration by 1 per second for every 50  the player has.

Increasing Base Intelligence
A player's base can be increased by:
 * Leveling the Skill
 * Leveling the Skill
 * Completing songs from Melody's Harp
 * Defusing traps with a Defuse Kit
 * Leveling up Forbidden Intelligence in the Essence Shop
 * Levelling Enderman Slayer

Increasing Bonus Intelligence
There are several ways to gain additional bonus.
 * Certain Armor
 * Crystal Armor
 * Wise Dragon Armor
 * Storm's Armor
 * Aurora Armor
 * Certain Weapons (usually with magic damage abilities) such as
 * Hyperion
 * Ice Spray Wand
 * Spirit Sceptre
 * Certain Accessories
 * Bat Person Talisman (depending on how many bats)
 * Bat Talisman
 * Big Brain Talisman
 * Hocus-Pocus Cipher
 * Certain Enchantments
 * Wisdom
 * Big Brain
 * Legion (increases Intellegence only when there are players within 30 blocks of you)
 * Smarty Pants
 * Reflection
 * Certain Accessory Powers
 * Slender
 * Bizarre
 * Demonic
 * Crumbly
 * Mythical
 * Sighted
 * Sanguisuge (only Unique Bonus)
 * Reforging equipment
 * ,, , or  on Armor
 * on Weapons

Decreasing Bonus Intelligence

 * Certain Armor
 * Fairy Armor
 * Blobfish Hat
 * Enderman Mask
 * Goblin Armor
 * , Odd and reforges
 * Jerry Pet
 * Green Jerry Talisman and its upgraded variants

History
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