What amount of bookshelves and experience levels is required for which enchantments?

Question

I am kind of looking for a list of them like for instance how many bookshelves and experience is required for luck of the sea to be available, i know the silk touch enchantment requires 30 levels and 15 bookshelves, can someone give me a list with this kind of data on enchantments?

cherryblossom · Accepted Answer

From Enchantment mechanics on the wiki:

Number of Bookshelves
Level range of top slot
Level range of middle slot
Level range of bottom slot

0
1–2
1–6
1–8

1
1–3
1–7
2–9

2
1–3
2–8
4–11

3
1–4
2–9
6–12

4
1–4
3–10
8–14

5
1–5
3–11
10–15

6
1–5
3–12
12–17

7
1–6
3–13
14–18

8
1–6
4–14
16–20

9
1–7
4–15
18–21

10
2–7
5–16
20–23

11
2–8
5–17
22–24

12
2–8
5–18
24–26

13
2–9
5–19
26–27

14
2–9
6–20
28–29

15
2–10
6–21
30

This base enchantment level is modified using 2 modifiers:

A random integer is generated between 0 and half the enchantability of the item (see the table below). This number + 1 is added to the base enchantment level.

Material
Armour Enchantability
Sword/Tool Enchantability

Wood
N/A
15

Leather
15
N/A

Stone
N/A
5

Chain
12
N/A

Iron
9
14

Gold
25
22

Diamond
10
10

Turtle
9
N/A

Netherite
15
15

Book
1
1

Bows and fishing rods also have an enchantability of 1

A random number is chosen between 0.85 and 1.15. This is multiplied to the modified level from step 1. This means that the modified level can increase or decrease by up to 15%.

On Enchanting/Levels (permalink) there is a list of the modified enchantment level ranges for each enchantment (excluding crossbows Edit: crossbow enchantments have been added). If the modified enchantment level is in two ranges for the same enchantment type (e.g. Fortune I and Fortune II), the higher one is used.

Edit

i know that the silk touch enchantment requires 30 levels and 15 bookshelves

I assume by "require" you mean that there is a 100% chance that the game may pick an enchantment after the modified enchantment level has been calculated.
For example, to find the number of bookshelves and levels needed to get Silk Touch on a diamond pickaxe you would have to work backwards.

The modified enchantment level for Silk Touch is 15–65.
To guarantee that there will be a chance of getting Silk Touch, use the worst-case scenario: the modified level after step 1 would be reduced by 15%, meaning that this level would need to be at least 15 ÷ 0.85 = 18 (rounded to the nearest integer).
A diamond pickaxe's enchantability is 10 (this actually isn't needed to calculate a guaranteed number of bookshelves).
The worst-case scenario will be that in the first modifier, 0 will be chosen (from 0 to half the enchantability). This number + 1 will be added to the base enchantment level, meaning that the base enchantment level will be 18 - 0 - 1 = 17.
Looking at the first table, it can be seen that at least 9 bookshelves are required to get Silk Touch in at least the third slot (the number of bookshelves where all the possible levels will be greater than or equal to 17). I also found that the number of bookshelves is the base enchantment level ÷ 2 rounded up.

TLDR: The number of levels required is (lowest modified enchantment level for enchantment) ÷ 0.85 - 1. The number of bookshelves is the number of levels ÷ 2 rounded down.

Here's info on the number of bookshelves and levels required for each enchantment:

Enchantment
Levels
Bookshelves

Aqua Affinity I
0
0

Bane of Arthropods I
5
3

Bane of Arthropods II
14
7

Bane of Arthropods III
24
12

Bane of Arthropods IV
33
17

Bane of Arthropods V
43
22

Blast Protection I
5
3

Blast Protection II
14
7

Blast Protection III
24
12

Blast Protection IV
33
17

Channeling I
28
14

Depth Strider I
11
6

Depth Strider II
23
12

Depth Strider III
34
17

Efficiency I
0
0

Efficiency II
12
6

Efficiency III
24
12

Efficiency IV
35
18

Efficiency V
47
24

Feather Falling I
5
3

Feather Falling II
12
6

Feather Falling III
19
10

Feather Falling IV
26
13

Fire Aspect I
11
6

Fire Aspect II
34
17

Flame I
23
12

Fortune I
17
9

Fortune II
27
14

Fortune III
38
19

Frost Walker I
11
6

Frost Walker II
23
12

Impaling I
0
0

Impaling II
10
5

Impaling III
19
10

Impaling IV
28
14

Impaling V
38
19

Infinity I
23
12

Knockback I
5
3

Knockback II
28
14

Looting I
5
3

Looting II
27
14

Looting III
38
19

Loyalty I
19
10

Loyalty II
25
13

Loyalty III
31
16

Luck of the Sea I
17
9

Luck of the Sea II
27
14

Luck of the Sea III
38
19

Lure I
17
9

Lure II
27
14

Lure III
38
19

Multishot I
0
0

Piercing I
3
2

Piercing II
23
12

Piercing III
43
22

Piercing IV
63
32

Power I
0
0

Power II
12
6

Power III
24
12

Power IV
35
18

Power V
47
24

Projectile Protection I
3
2

Projectile Protection II
10
5

Projectile Protection III
17
9

Projectile Protection IV
24
12

Protection I
0
0

Protection II
13
7

Protection III
26
13

Protection IV
39
20

Punch I
13
7

Punch II
37
19

Quick Charge I
17
9

Quick Charge II
27
14

Quick Charge III
38
19

Respiration I
11
6

Respiration II
23
12

Respiration III
34
17

Riptide I
19
10

Riptide II
31
16

Riptide III
43
22

Sharpness I
0
0

Sharpness II
13
7

Sharpness III
26
13

Sharpness IV
39
20

Sharpness V
52
26

Silk Touch I
17
9

Smite I
5
3

Smite II
14
7

Smite III
24
12

Smite IV
33
17

Smite V
43
22

Sweeping Edge I
5
3

Sweeping Edge II
15
8

Sweeping Edge III
26
13

Thorns I
11
6

Thorns II
34
17

Thorns III
58
29

Unbreaking I
5
3

Unbreaking II
14
7

Unbreaking III
24
12

Original gist predating tables in StackExchange

What amount of bookshelves and experience levels is required for which enchantments?

One Answer

Edit

TLDR: The number of levels required is (lowest modified enchantment level for enchantment) ÷ 0.85 - 1. The number of bookshelves is the number of levels ÷ 2 rounded down.

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Number of Bookshelves	Level range of top slot	Level range of middle slot	Level range of bottom slot
0	1–2	1–6	1–8
1	1–3	1–7	2–9
2	1–3	2–8	4–11
3	1–4	2–9	6–12
4	1–4	3–10	8–14
5	1–5	3–11	10–15
6	1–5	3–12	12–17
7	1–6	3–13	14–18
8	1–6	4–14	16–20
9	1–7	4–15	18–21
10	2–7	5–16	20–23
11	2–8	5–17	22–24
12	2–8	5–18	24–26
13	2–9	5–19	26–27
14	2–9	6–20	28–29
15	2–10	6–21	30

Material	Armour Enchantability	Sword/Tool Enchantability
Wood	N/A	15
Leather	15	N/A
Stone	N/A	5
Chain	12	N/A
Iron	9	14
Gold	25	22
Diamond	10	10
Turtle	9	N/A
Netherite	15	15
Book	1	1

Enchantment	Levels	Bookshelves
Aqua Affinity I	0	0
Bane of Arthropods I	5	3
Bane of Arthropods II	14	7
Bane of Arthropods III	24	12
Bane of Arthropods IV	33	17
Bane of Arthropods V	43	22
Blast Protection I	5	3
Blast Protection II	14	7
Blast Protection III	24	12
Blast Protection IV	33	17
Channeling I	28	14
Depth Strider I	11	6
Depth Strider II	23	12
Depth Strider III	34	17
Efficiency I	0	0
Efficiency II	12	6
Efficiency III	24	12
Efficiency IV	35	18
Efficiency V	47	24
Feather Falling I	5	3
Feather Falling II	12	6
Feather Falling III	19	10
Feather Falling IV	26	13
Fire Aspect I	11	6
Fire Aspect II	34	17
Flame I	23	12
Fortune I	17	9
Fortune II	27	14
Fortune III	38	19
Frost Walker I	11	6
Frost Walker II	23	12
Impaling I	0	0
Impaling II	10	5
Impaling III	19	10
Impaling IV	28	14
Impaling V	38	19
Infinity I	23	12
Knockback I	5	3
Knockback II	28	14
Looting I	5	3
Looting II	27	14
Looting III	38	19
Loyalty I	19	10
Loyalty II	25	13
Loyalty III	31	16
Luck of the Sea I	17	9
Luck of the Sea II	27	14
Luck of the Sea III	38	19
Lure I	17	9
Lure II	27	14
Lure III	38	19
Multishot I	0	0
Piercing I	3	2
Piercing II	23	12
Piercing III	43	22
Piercing IV	63	32
Power I	0	0
Power II	12	6
Power III	24	12
Power IV	35	18
Power V	47	24
Projectile Protection I	3	2
Projectile Protection II	10	5
Projectile Protection III	17	9
Projectile Protection IV	24	12
Protection I	0	0
Protection II	13	7
Protection III	26	13
Protection IV	39	20
Punch I	13	7
Punch II	37	19
Quick Charge I	17	9
Quick Charge II	27	14
Quick Charge III	38	19
Respiration I	11	6
Respiration II	23	12
Respiration III	34	17
Riptide I	19	10
Riptide II	31	16
Riptide III	43	22
Sharpness I	0	0
Sharpness II	13	7
Sharpness III	26	13
Sharpness IV	39	20
Sharpness V	52	26
Silk Touch I	17	9
Smite I	5	3
Smite II	14	7
Smite III	24	12
Smite IV	33	17
Smite V	43	22
Sweeping Edge I	5	3
Sweeping Edge II	15	8
Sweeping Edge III	26	13
Thorns I	11	6
Thorns II	34	17
Thorns III	58	29
Unbreaking I	5	3
Unbreaking II	14	7
Unbreaking III	24	12