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skyrim achievements - fun with math


longpinkytoes

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...in skyrim, if you have 99% in all skills, what level are you?
[the old level cap before legendary was level 81 with 100 in all skills]
or how many levels do you get raising all 16 skills from 99% to 100%?

per skill:
Skill Improve Mult * skill level1.95 + Skill Improve Offset

where 991.95 = 7789, nominally ()

 

     Magic
Alchemy        - 1.6 * 7,789 + 65 = 12,527
Illusion          -   2 * 7,789 +  0 = 15,578
Conjuration    -   2 * 7,789 +  0 = 15,578
Destruction    -   2 * 7,789 +  0 = 15,578
Restoration    -   2 * 7,789 +  0 = 15,578
Alteration      -   2 * 7,789 +  0 = 15,578
    Combat
Enchanting     -   1 * 7,789 + 170 = 7,959
Smithing        - .25 * 7,789 + 300 = 2,247
Heavy Armor  -   2 * 7,789 +  0   = 15,578
Block             -   2 * 7,789 +  0   = 15,578
Two-handed   -   2 * 7,789 +  0  = 15,578
One-handed   -   2 * 7,789 +  0  = 15,578
     Stealth
Archery        -    2 * 7,789 +  0  = 15,578
Light Armor  -    2 * 7,789 +  0   = 15,578
Sneak          -   .5 * 7,789 + 120 = 4,014
Lockpicking   - .25 * 7,789 + 300 = 2,247
Pickpocket    - .25 * 7,789 + 250 = 2,197
Speech        -    2 * 7,789 +  0  = 15,578

tl;dr:
12x  -  2 * 7789 +  0   =  186,936
1x   - 1.6 * 7789 + 65  = 12,527
1x   -   1 * 7789 + 170 = 7,959
1x   -   .5 * 7,789 + 120 = 4,014
2x   - .25 * 7789 + 300 = 2,247
1x   - .25 * 7789 + 250 = 2,197
= 215,880xp

so getting the last percent in all of your skills took 215,880xp
but how many times did you level up earning that much xp?

XP required to level up your character = (Current level + 3) * 25

so the amount of experience needed to go from:
level 80 to 81 is 83 * 25 = 2075,     level 79 to 80 is 82 * 25 = 2050,     level 78 to 79 is 81 * 25 = 2025
level 77 to 78 is 80 * 25 = 2000,     level 76 to 77 is 79 * 25 = 1975,     level 75 to 76 is 78 * 25 = 1950
level 74 to 75 is 77 * 25 = 1925,     level 73 to 74 is 76 * 25 = 1900,     level 72 to 73 is 75 * 25 = 1875
level 71 to 72 is 74 * 25 = 1850,     level 70 to 71 is 73 * 25 = 1825,     level 69 to 70 is 72 * 25 = 1800
level 68 to 69 is 71 * 25 = 1775,     level 67 to 68 is 70 * 25 = 1750,     level 66 to 67 is 69 * 25 = 1725
level 65 to 66 is 68 * 25 = 1700,     level 64 to 65 is 67 * 25 = 1675,     level 63 to 64 is 66 * 25 = 1650
level 62 to 63 is 65 * 25 = 1625,     level 61 to 62 is 64 * 25 = 1600,     level 60 to 61 is 63 * 25 = 1575
level 59 to 60 is 62 * 25 = 1550,     level 58 to 59 is 61 * 25 = 1525,     level 57 to 58 is 60 * 25 = 1500
level 56 to 57 is 59 * 25 = 1475,     level 55 to 56 is 58 * 25 = 1450,     level 54 to 55 is 57 * 25 = 1425
level 53 to 54 is 56 * 25 = 1400,     level 52 to 53 is 55 * 25 = 1375,     level 51 to 52 is 54 * 25 = 1350
level 50 to 51 is 53 * 25 = 1325,    


level 49 to 50 is 52 * 25 = 1300
 
i think my math is broken.
this only adds up to 54,000xp.

there may be another layer of calculations
that reverses the Skill Use Mult before summing
the calculated 99%-100% totals per skill?



 

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