Prayer: Difference between revisions

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(Update for v1.0.3; Clarify that Slayer method of obtaining prayer points assumes Elite tasks)
(→‎Prayer Point Acquisition Rates: added max cape/lantern advice to sc/h)
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With self-sustaining food from the Slayer supplies, the time of {{Icon|Water Wave|type=spell}} adjusted by crafting runes is 5.8 prayer points per second. The calculations can be found [https://docs.google.com/spreadsheets/d/1K2C37QQDp1-ublNSj6kgltsApHSs5DCq9OtcCeBGrrs/edit#gid=0 here].
With self-sustaining food from the Slayer supplies, the time of {{Icon|Water Wave|type=spell}} adjusted by crafting runes is 5.8 prayer points per second. The calculations can be found [https://docs.google.com/spreadsheets/d/1K2C37QQDp1-ublNSj6kgltsApHSs5DCq9OtcCeBGrrs/edit#gid=0 here].
{{ItemIcon|Blazing Lantern}} in the [[Passive Slot]] or {{ItemIcon|Maximum Skillcape}} increase the SC/h rates dramatically, by giving you access to [[Shrouded Badlands]] and {{MonsterIcon|Bounty Hunter}}


The Slayer case can be vastly improved by {{ItemIcon|Witch}} and {{ItemIcon|Cyclops}}, {{Skill|Agility}}, {{Skill|Astrology}}, and {{ItemIcon|Hunter's Ring}}, giving 350k slayer coins raw or around 250k when adjusted by the preparation, resulting in around 34 prayer points per second.
The Slayer case can be vastly improved by {{ItemIcon|Witch}} and {{ItemIcon|Cyclops}}, {{Skill|Agility}}, {{Skill|Astrology}}, and {{ItemIcon|Hunter's Ring}}, giving 350k slayer coins raw or around 250k when adjusted by the preparation, resulting in around 34 prayer points per second.

Revision as of 08:04, 15 May 2022

This page was last updated for (v1.0.3).
Prayer

Prayer is a

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Combat

skill that provides passive bonuses at the expense of prayer points. Prayer points can be gained by burying bones from the Bank. Killing monsters while wearing the Bone Necklace will automatically bury bones and award twice the normal amount of prayer points. During Combat, a maximum of two prayers can be active at once. There is no limit to the amount of prayer points that the player can have. Raising Prayer to

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Level 99

will unlock the Prayer Skillcape for purchase from the Shop.

Prayer experience is earned when dealing damage to monsters while any prayers costing per player attack are active. The amount of Prayer experience earned is [math]\displaystyle{ \frac{1}{30} }[/math] or [math]\displaystyle{ 0.0\bar{3} }[/math] per point of damage dealt multiplied by the prayer point cost per player attack. Note that the 'prayer point cost' is the base cost before any cost modifiers are applied, meaning that methods used by the player to either reduce or increase prayer costs do not affect the experience earned. This experience can be increased by 4% by equipping the Gold Emerald Ring, which along with the 1% increase from Pyro and 5% from Firemaking Skillcape provides a skill XP increase of 10%.

Prayer Point Acquisition Rates

Calculations
The general formula used for
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Fishing
is [math]\displaystyle{ P \times A_F \times \tfrac{2^M \times \left (1 + C_M \right ) \times \left ( 1 + C_D \right ) + C_A}{S} }[/math], where:
  • [math]\displaystyle{ P }[/math] is the prayer points per fish, a constant of 3 for Raw Skeleton Fish
  • [math]\displaystyle{ A_F }[/math] is the area's fish chance, a base of 95% (or 0.95) for the Secret Area
  • [math]\displaystyle{ M }[/math] is the number of things guaranteed to double the number of fish caught
  • [math]\displaystyle{ C_M }[/math] is the chance to double provided by the fish
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    Mastery
    level - for Fishing this is rolled separately from the chance to double from all other sources
  • [math]\displaystyle{ C_D }[/math] is the chance to double from all other sources, provided by a number of things such as the Fishing Hook
  • [math]\displaystyle{ C_A }[/math] is the chance to gain 1 additional resource, provided by
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    Octopus
  • [math]\displaystyle{ S }[/math] is the average number of seconds between catches
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Fishing
with the
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Dragon Fishing Rod
has an average catch time of [math]\displaystyle{ S = \tfrac{2.4 + 7.2}{2} = 4.8 }[/math] seconds. With the
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Amulet of Fishing
, this is reduced further to [math]\displaystyle{ S = \tfrac{1.8 + 5.4}{2} = 3.6 }[/math] seconds, and can be reduced further still with
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Ameria
. The Fishing Skillcape and
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Level 99
, when both are active [math]\displaystyle{ M = 2 }[/math] and so guaranteed doubling provides [math]\displaystyle{ 2^2 = 4 }[/math] times the usual number of fish. Assuming a somewhat optimal setup as per this sheet, the time between catches reduces to [math]\displaystyle{ S = 2.8 }[/math] seconds, chance to double becomes [math]\displaystyle{ C_D = 0.66 = 66\% }[/math], and the additional resource chance becomes [math]\displaystyle{ C_A = 0.03 = 3\% }[/math]. This assumes 10% chance to double and 10% interval reduction from
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Astrology
, as rolls higher than this require too much dust.
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Alt.Magic
has the interval of 2 seconds. With Amulet of Incantation, the Alt.Magic interval goes down to 1.8 seconds.

The earth rune expenditure can be mitigated by using the Staff of Earth leaving two Nature Runes per cast. It adds roughly [math]\displaystyle{ (1.3+2)/16/\frac{1}{1-0.8} = 0.04125 }[/math] seconds per a Blessed Offering cast if we consider the maximum preservation, mastery, mining without the God Upgrades

The rune expenditure can be mitigated further by the Nature's Call Staff and the Magic Skillcape, leaving only one Earth Rune per cast. Using the God Upgrades, It can be sped up to roughly [math]\displaystyle{ (0.85+1.7)/16/\frac{1}{1-0.8} = 0.0319 }[/math] seconds per a Blessed Offering cast.


For
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Slayer
calculation in Combat Simulator, the following setup was used: With self-sustaining food from the Slayer supplies, the time of
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Water Wave
adjusted by crafting runes is 5.8 prayer points per second. The calculations can be found here.

Blazing Lantern in the Passive Slot or Maximum Skillcape increase the SC/h rates dramatically, by giving you access to Shrouded Badlands and Bounty Hunter

The Slayer case can be vastly improved by
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Witch
and
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Cyclops
,
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Agility
,
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Astrology
, and Hunter's Ring, giving 350k slayer coins raw or around 250k when adjusted by the preparation, resulting in around 34 prayer points per second.
Method Prayer points per second Result
Fishing Raw Skeleton Fish with Dragon Rod and
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Level 1
[math]\displaystyle{ 3 \times 0.95 \times \tfrac{1 + 0.004}{4.8} }[/math] 0.60
Fishing Raw Skeleton Fish with Dragon Rod and
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Level 99
[math]\displaystyle{ 3 \times 0.92 \times \tfrac{2}{4.8} }[/math] 1.15
Fishing Raw Skeleton Fish with Dragon Rod,
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Level 99
, Cape, and
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Amulet
[math]\displaystyle{ 3 \times 0.92 \times \tfrac{2^2}{3.6} }[/math] 3.07
Alt. Magic/ Blessed Offering with Staff [math]\displaystyle{ 3 \times 3/(2 + 2 \times 0.04125) }[/math] 4.32
Alt. Magic/ Blessed Offering with Staff, Cape and God Upgrades [math]\displaystyle{ 3 \times 3/(2 + 0.0319) }[/math] 4.43
Alt. Magic/ Blessed Offering with Staff, Cape, Amulet and God Upgrades [math]\displaystyle{ 3 \times 3/(1.8 + 0.0319) }[/math] 4.91
Fishing Raw Skeleton Fish with a reasonably optimal setup. [math]\displaystyle{ 3 \times 0.95 \times \tfrac{2^2 \times \left ( 1 + 0.66 \right ) + 0.03}{2.8} }[/math] 6.79
Elite
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Slayer
tasks
Details in Calculations above 5.8 barebones
34 with proper setup

Slayer tasks do not directly generate many bones. Instead, the Prayer points are acquired by spending the

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Slayer Coins

earned at the Shop on either Standard Resupply or Generous Resupply packs, which contain 500 Magic Bones and 1,000 Magic Bones respectively. (The Basic Resupply provides a worse rate than the other two and should be avoided)

Both the Standard and Generous Resupply packs allow converting Slayer Coins into Prayer Points at a rate of 2SC per Prayer Point. This means Slayer tasks begin generating 7 prayer points per second once the player can gain at least 50,400SC per hour.

Bones

Bones can primarily be acquired by killing Monsters that are not in Dungeons. Alternative sources are:

Prayers

All prayers that provide a percentage increase apply multiplicatively, except for

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Safeguard

and

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Stone Skin

which provide flat increases to Damage Reduction. For example,

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Mystic Might

's +15% Magic Evasion bonus will multiply the player's Magic Evasion Rating by 1.15 rather than directly providing a 15% chance to evade any Magic attack. Likewise, the +15% Magic Accuracy bonus it provides will multiply the player's Magic Accuracy Rating by 1.15 rather than simply adding 15% to their hit chance. Players can view the

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Combat

page for more detail on how hit chance is calculated. The three Protection prayers are worded differently and behave differently from prayers that affect Evasion Rating. For example,

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Protect from Magic

provides a flat 80% chance for the player to dodge any Magic attack, therefore using protection prayers when the monsters's chance to hit is 20% or lower is not advised as doing so would increase the monster's chance to hit.

Reducing Prayer Point Usage

To reduce the number of prayer points used by active prayers, players can take advantage of various sources granting modifiers that reduce the prayer point cost of prayers and/or provide a chance to preserve all prayer points the prayer would have used.

The prayer point cost reduction modifiers can reduce the cost of prayers to a minimum of 1 point per prayer, the only exception to this being that protection prayers are free when the Gold Diamond Ring is equipped. Any flat prayer point reductions are applied before any percentage reductions, therefore in some specific cases some flat cost reductions provide no benefit. For example, consider a scenario where prayers with an odd prayer point cost are active while both the Prayer Skillcape and Priest Hat are equipped - in such a case, the Prayer Skillcape reduces the cost to 2 points regardless of whether the Priest Hat is equipped or not.

The chance to preserve prayer points provides a chance that active prayers will be used for free. The highest possible chance to preserve is currently 78% without

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Astrology

constellations, or up to 93% should the player manage to roll +5% chance to preserve prayer points on all three unique modifier stars within the

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Hyden

constellation. Damage dealt by failed

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Thieving

attempts does not currently count as an Enemy Attack for the purposes of spending prayer points, allowing the prayers

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Safeguard

,

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Stone Skin

, and

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Protect Item

to be active while thieving for effectively zero cost as long as you have enough prayer points to turn them on. This may be a bug.

Skillcape

The skillcape can be purchased from the store for 1,000,000GP after the player reaches

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Level 99

.

Regular Skillcape

The Prayer Skillcape is the skillcape for the Prayer skill. It can be purchased for 1,000,000GP from the Shop once the player reaches

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Level 99

in the Prayer skill. The Prayer Skillcape offers the following benefits when worn:

-50% Prayer Point Cost for Prayers (Cost cannot go below 1)

Superior Skillcape

The Superior Prayer Skillcape is the superior skillcape for the Prayer skill. It can be purchased for 10,000,000GP from the Shop once the player reaches

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Level 120

in the Prayer skill.

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Level 120

can only be reached if the player owns the TotH.svg Throne of the Herald expansion. Likewise, the superior skillcape can only be purchased if the player owns this expansion. The superior skillcape offers the following benefits when worn:

-75% Prayer Point Cost for Prayers (Cost cannot go below 1) and +5% Chance To Preserve Prayer Points

Pet

The pet can be unlocked by doing any action that provides Prayer XP.

PetNameDLCEffect
Monk-eyMonk-eyMelvor Logo.svg +5% Chance To Preserve Prayer Points