https://wiki.factorio.com/api.php?action=feedcontributions&feedformat=atom&user=DoINeedATag Official Factorio Wiki - User contributions [en] 2026-05-18T02:46:05Z User contributions MediaWiki 1.43.5 https://wiki.factorio.com/index.php?title=Railgun_shooting_speed_(research)&diff=210614 Railgun shooting speed (research) 2025-02-02T02:49:44Z <p>DoINeedATag: Apologies, even after proof reading multiple times missed an extraneous word.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Railgun shooting speed (research)}}<br /> {{About/Space age}}<br /> '''Railgun shooting speed''' applies a +20% bonus to the firing speed of the [[Railgun]] and [[Railgun turret]] for each level of research.<br /> <br /> The cost formula is 2&lt;sup&gt;L&lt;/sup&gt; * 1000 where L = current level.<br /> <br /> Note the railgun turrets shooting speed is tied to its [https://forums.factorio.com/viewtopic.php?p=625202#p625202 animation], making the max shooting speed bonus +.36/s. You can research past level 5, but it will have no practical effect on the railgun turret, however it '''will''' continue to increase the shooting speed of the railgun past level 5.<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> == See also ==<br /> * [[Technologies]]<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Railgun_shooting_speed_(research)&diff=210613 Railgun shooting speed (research) 2025-02-02T02:47:31Z <p>DoINeedATag: Adding clarification to the bonus shooting speed limit of this technology. Removed incorrect information about the 20% bonus given. There was a missing &#039; making the bold into italic.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Railgun shooting speed (research)}}<br /> {{About/Space age}}<br /> '''Railgun shooting speed''' applies a +20% bonus to the firing speed of the [[Railgun]] and [[Railgun turret]] for each level of research.<br /> <br /> The cost formula is 2&lt;sup&gt;L&lt;/sup&gt; * 1000 where L = current level.<br /> <br /> Note the railgun turrets shooting speed is tied to its [https://forums.factorio.com/viewtopic.php?p=625202#p625202 animation], making the max shooting speed bonus is +.36/s. You can research past level 5, but it will have no practical effect on the railgun turret, however it '''will''' continue to increase the shooting speed of the railgun past level 5.<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> == See also ==<br /> * [[Technologies]]<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Steel_plate_productivity_(research)&diff=210612 Steel plate productivity (research) 2025-02-02T02:24:15Z <p>DoINeedATag: Adding clarification to the productivity limit of this technology.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Steel plate productivity (research)}}<br /> {{About/Space age}}<br /> '''Steel plate productivity''' reduces the cost of crafting [[steel plate]] by adding productivity to the craft. This reduction affects the steel obtained both from [[Steel plate|smelting]] with [[furnace|furnaces]] or [[Casting steel|casting]] with [[foundry]].<br /> <br /> The cost formula is 1.5&lt;sup&gt;L&lt;/sup&gt; * 1500 where L = current level.<br /> <br /> Note that the 300% [[Productivity#Limits| productivity limit]] '''does''' apply do this technology. You can research past level 30, but it will have no practical effect.<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Low_density_structure_productivity_(research)&diff=210611 Low density structure productivity (research) 2025-02-02T02:23:45Z <p>DoINeedATag: Adding clarification to the productivity limit of this technology.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox: Low density structure productivity (research)}}<br /> {{About/Space age}}<br /> '''Low density structure productivity''' applies an additional [[productivity]] bonus to machines when they craft [[low density structure]]s (but not when using [[recycler]] recipes to produce them). Even level gives +10% productivity.<br /> <br /> The cost formula is 1.5&lt;sup&gt;L&lt;/sup&gt; * 1000 where L = current level.<br /> <br /> Note that the 300% [[Productivity#Limits| productivity limit]] '''does''' apply do this technology. You can research past level 30, but it will have no practical effect.<br /> <br /> == See also ==<br /> * [[Processing unit productivity (research)]]<br /> * [[Rocket fuel productivity (research)]]<br /> * [[Rocket part productivity (research)]]<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Scrap_recycling_productivity_(research)&diff=210610 Scrap recycling productivity (research) 2025-02-02T02:22:35Z <p>DoINeedATag: Adding clarification to the productivity limit of this technology.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Scrap recycling productivity (research)}}<br /> {{About/Space age}}<br /> '''Scrap recycling productivity''' applies a [[productivity]] bonus when a [[recycler]] recycles [[scrap]].<br /> <br /> The cost formula is 1.5&lt;sup&gt;L&lt;/sup&gt; * 500 where L = current level, with each level giving 10% productivity.<br /> <br /> Note that the 300% [[Productivity#Limits| productivity limit]] '''does''' apply do this technology. You can research past level 30, but it will have no practical effect.<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> == See also ==<br /> * [[Technologies]]<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Processing_unit_productivity_(research)&diff=210609 Processing unit productivity (research) 2025-02-02T02:21:58Z <p>DoINeedATag: Adding clarification to the productivity limit of this technology.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Processing unit productivity (research)}}<br /> {{About/Space age}}<br /> '''Processing unit productivity''' applies an additional [[productivity]] bonus to machines when they craft [[processing unit]]s (but not when using [[recycler]] recipes to produce them). Even level gives +10% productivity.<br /> <br /> The cost formula is 1.5&lt;sup&gt;L&lt;/sup&gt; * 1000 where L = current level.<br /> <br /> Note that the 300% [[Productivity#Limits| productivity limit]] '''does''' apply do this technology. You can research past level 30, but it will have no practical effect.<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> == See also ==<br /> * [[Low density structure productivity (research)]]<br /> * [[Rocket fuel productivity (research)]]<br /> * [[Rocket part productivity (research)]]<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Plastic_bar_productivity_(research)&diff=210608 Plastic bar productivity (research) 2025-02-02T02:21:14Z <p>DoINeedATag: Adding clarification to the productivity limit of this technology.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Plastic bar productivity (research)}}<br /> {{About/Space age}}<br /> The '''plastic bar productivity''' research increases the productivity of machines that craft [[plastic bar]]s by 10% (flat) per level.<br /> &lt;br&gt;<br /> The cost formula is 1.5&lt;sup&gt;L&lt;/sup&gt; * 1000 where L = current level.<br /> <br /> Note that the 300% [[Productivity#Limits| productivity limit]] '''does''' apply do this technology. You can research past level 30, but it will have no practical effect.<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Rocket_fuel_productivity_(research)&diff=210607 Rocket fuel productivity (research) 2025-02-02T02:20:28Z <p>DoINeedATag: Adding clarification to the productivity limit of this technology.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Rocket fuel productivity (research)}}<br /> {{About/Space age}}<br /> '''Rocket fuel productivity''' applies an additional [[productivity]] bonus to machines when they craft [[rocket fuel]]s (but not when using [[recycler]] recipes to produce them). Even level gives +10% productivity.<br /> <br /> The cost formula is 1.5&lt;sup&gt;L&lt;/sup&gt; * 1000 where L = current level.<br /> <br /> Note that the 300% [[Productivity#Limits| productivity limit]] '''does''' apply do this technology. You can research past level 30, but it will have no practical effect.<br /> <br /> == See also ==<br /> * [[Low density structure productivity (research)]]<br /> * [[Processing unit productivity (research)]]<br /> * [[Rocket part productivity (research)]]<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Asteroid_productivity_(research)&diff=210606 Asteroid productivity (research) 2025-02-02T02:19:42Z <p>DoINeedATag: Adding clarification to the productivity limit of this technology.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Asteroid productivity (research)}}<br /> {{About/Space age}}<br /> <br /> Adds 10% productivity to all 6 asteroid crushing recipes:<br /> *[[Carbonic asteroid crushing]]<br /> *[[Oxide asteroid crushing]]<br /> *[[Metallic asteroid crushing]]<br /> *[[Advanced carbonic asteroid crushing]]<br /> *[[Advanced oxide asteroid crushing]]<br /> *[[Advanced metallic asteroid crushing]]<br /> <br /> The cost formula for this research is 1.5&lt;sup&gt;L&lt;/sup&gt; * 1000 where L = current level.<br /> <br /> Note that the 300% [[Productivity#Limits| productivity limit]] '''does''' apply do this technology. You can research past level 30, but it will have no practical effect.<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Rocket_part_productivity_(research)&diff=210605 Rocket part productivity (research) 2025-02-02T02:18:28Z <p>DoINeedATag: Adding clarification to the productivity limit of this technology.</p> <hr /> <div>{{Languages}}<br /> {{:Infobox:Rocket part productivity (research)}}<br /> {{About/Space age}}<br /> '''Rocket part productivity''' applies an additional [[productivity]] bonus to the [[rocket silo]] when crafting [[rocket part]]s.<br /> <br /> The cost formula is 1.5&lt;sup&gt;L&lt;/sup&gt; * 2000 where L = current level.<br /> <br /> Note that the 300% [[Productivity#Limits| productivity limit]] '''does''' apply do this technology. You can research past level 30, but it will have no practical effect.<br /> <br /> == See also ==<br /> * [[Low density structure productivity (research)]]<br /> * [[Rocket fuel productivity (research)]]<br /> * [[Processing unit productivity (research)]]<br /> <br /> == History ==<br /> {{History|2.0.7|<br /> * Introduced in [[Space Age]]{{SA}} expansion.<br /> }}<br /> <br /> {{TechNav}}</div> DoINeedATag https://wiki.factorio.com/index.php?title=Technologies&diff=210604 Technologies 2025-02-02T02:02:59Z <p>DoINeedATag: Clarifying the actual effectiveness of infinite productivity technologies.</p> <hr /> <div>{{Languages}}<br /> [[File:Technology tree.png|thumb|right|280px|The technology tree − Click to enlarge.]]<br /> [[File:tech_bonuses.png|thumb|right|280px|Researched tech bonuses.]]<br /> '''Technologies''' are [[Research|researched]] in [[lab]]s using [[science pack]]s.<br /> <br /> Every technology needs a certain amount of science packs per science pack type to be researched, for example the [[Logistics (research)|Logistics]] technology requires 20 [[automation science pack]]s to be placed in labs while the technology is selected for research.<br /> <br /> == Achievements ==<br /> {{Achievement|tech-maniac}}<br /> * Completing infinite technologies of any level is not required for '''Tech maniac'''. All non-infinite levels of technologies that have infinite continuations are still required.<br /> {{clear}}<br /> == Infinite technologies ==<br /> <br /> While most technologies in Factorio are either one-off or have a finite, relatively small number of levels available, a few are &quot;infinite&quot;, meaning the player can research as many levels as they can afford. All of them unlock bonuses to existing technologies, never new structures or abilities. The per-level bonuses are constant for a particular infinite technologies and, like finite research bonuses, are additive within a single technology. They are subject to diminishing returns; thus, the per-level and per-science pack contributions from very high levels of infinite technologies will eventually provide only marginal improvements.<br /> <br /> All base game infinite technologies levels require [[space science pack]]s, and are also the only technologies that do. As such, they are late-game technologies intended primarily for players who wish to continue playing and expand their factory past the nominal victory condition of launching a rocket.<br /> <br /> Infinite technologies are identified in-game by a small &lt;code&gt;∞&lt;/code&gt; infinity symbol shown in the top right corner of the research technology's card in the research screen.<br /> <br /> Most infinite technologies are continuations of ordinary multi-level technologies; the &quot;infinite&quot; mechanic becomes effective once the player reaches the card initially labeled with &lt;code&gt;N - ∞&lt;/code&gt; in the research tree. In the base game, only the two [[artillery]]-related technologies (artillery shell [[artillery shell range (research)|range]] and [[artillery shell shooting speed (research)|shooting speed]]) are infinite-only; for these, &lt;code&gt;1 - ∞&lt;/code&gt; is shown before any levels in them are researched. In either case, once the first infinite level is researched, the card label switches to the one discussed above.<br /> <br /> === Pricing formulas ===<br /> <br /> The price of all infinite technologies is generated in a [[Wikipedia:Progression|mathematical progression]]; for the majority of technologies, the progression is [[Wikipedia:Geometric_progression|geometric]], mostly in powers of 2. Two technologies - [[mining productivity (research)|mining productivity]] and [[follower robot count (research)|follower robot count]] - use an [[Wikipedia:Arithmetic_progression|arithmetic progression]] instead.<br /> <br /> The table below summarizes for all infinite researches their first infinite level, the cost of the first few infinite levels, the cost formula and the per-level bonus. <br /> <br /> We denote by &lt;code&gt;N&lt;/code&gt; the current level of the research, by &lt;code&gt;F&lt;/code&gt; the final non-infinite level of the research (hence F+1 is the first &quot;infinite&quot; level) and by &lt;code&gt;P[N]&lt;/code&gt; the price of the research at level &lt;code&gt;N&lt;/code&gt;.<br /> <br /> {|class=&quot;wikitable&quot;<br /> ! Technology !! Bonus !! Science Packs !! F+1 !! P[N] !! P[F+1] !! P[F+2] !! P[F+3] !! P[F+4] !! P[F+5] !! ...<br /> |-<br /> | {{Icontech|Worker robot speed (research)}} [[Worker robot speed (research)|Worker robot speed]] || +65% Robot Speed || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|6 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|2,000 || style=text-align:center|4,000 || style=text-align:center|8,000 || style=text-align:center|16,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Mining productivity (research)}} [[Mining productivity (research)|Mining productivity]] || +10% Mining Productivity || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|4 || 2,500 × (N - F) || style=text-align:center|2,500 || style=text-align:center|5,000 || style=text-align:center|7,500 || style=text-align:center|10,000 || style=text-align:center|12,500 || style=text-align:center|+2500<br /> |-<br /> | {{Icontech|Physical projectile damage (research)}} [[Physical projectile damage (research)|Physical projectile damage]] || +40% Bullet Damage &lt;br&gt; +70% Turret Damage &lt;br&gt; +40% Shotgun Shell Damage &lt;br&gt; +100% Cannon Shell Damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|2,000 || style=text-align:center|4,000 || style=text-align:center|8,000 || style=text-align:center|16,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Stronger explosives (research)}} [[Stronger explosives (research)|Stronger explosives]] || +50% Rocket Damage &lt;br&gt; +20% Grenade Damage &lt;br&gt; +20% Landmine Damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|2,000 || style=text-align:center|4,000 || style=text-align:center|8,000 || style=text-align:center|16,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Refined flammables (research)}} [[Refined flammables (research)|Refined flammables]] || +20% Flamethrower Damage|| {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|2,000 || style=text-align:center|4,000 || style=text-align:center|8,000 || style=text-align:center|16,000 || style=text-align:center|×2<br /> |- <br /> | {{Icontech|Energy weapons damage (research)}} [[Energy weapons damage (research)|Energy weapons damage]] || +70% Laser Damage&lt;br&gt; +70% Electric Damage&lt;br&gt; +30% Beam Damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|2,000 || style=text-align:center|4,000 || style=text-align:center|8,000 || style=text-align:center|16,000 || style=text-align:center|×2<br /> |- <br /> | {{Icontech|Artillery shell range (research)}} [[Artillery shell range (research)|Artillery shell range]] || +30% Artillery Shell Range || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|1 || 1,000 × 2^N || style=text-align:center|2,000 || style=text-align:center|4,000 || style=text-align:center|8,000 || style=text-align:center|16,000 || style=text-align:center|32,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Artillery shell shooting speed (research)}} [[Artillery shell shooting speed (research)|Artillery shell speed]] || +100% Artillery Speed || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|1 || 1,000 + 1,000 × 3^(N - F - 1) || style=text-align:center|2,000 || style=text-align:center|4,000 || style=text-align:center|10,000 || style=text-align:center|28,000 || style=text-align:center|82,000 || style=text-align:center|×3 then - 2000<br /> |- <br /> | {{Icontech|Follower robot count (research)}} [[Follower robot count (research)|Follower robot count]] || +25 Follower Robots || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Production science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|5 || 1000 × (N - F) || style=text-align:center|1,000 || style=text-align:center|2,000 || style=text-align:center|3,000 || style=text-align:center|4,000 || style=text-align:center|5,000 || style=text-align:center|+1000<br /> |}<br /> <br /> ==== Space Age ====<br /> The table below summarizes all the infinite technologies in Space Age. Some are unique to Space Age, while some have their price and/or effect changed from the base game.<br /> <br /> {|class=&quot;wikitable&quot;<br /> ! Technology !! Bonus !! Science Packs !! F+1 !! P[N] !! P[F+1] !! ...<br /> |-<br /> | {{Icontech|Worker robot speed (research)}} [[Worker robot speed (research)|Worker robot speed ]] || +65% Robot Speed || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Electromagnetic science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F) || style=text-align:center|2,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Mining productivity (research)}} [[Mining productivity (research)|Mining productivity]] || +10% Mining Productivity || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} || style=text-align:center|3 || 1,000 × (N - F) || style=text-align:center|1,000 || style=text-align:center|+1,000<br /> |-<br /> | {{Icontech|Physical projectile damage (research)}} [[Physical projectile damage (research)|Physical projectile damage]] || +20% Bullet Damage &lt;br&gt; +20% Turret Damage &lt;br&gt; +40% Shotgun Shell Damage &lt;br&gt; +100% Cannon Shell Damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|×2<br /> |- <br /> | {{Icontech|Artillery shell range (research)}} [[Artillery shell range (research)|Artillery shell range]] || +30% Artillery Shell Range || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Metallurgic science pack}} || style=text-align:center|1 || 1,000 × 2^(N-1) || style=text-align:center|1,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Artillery shell shooting speed (research)}} [[Artillery shell shooting speed (research)|Artillery shell speed]] || +100% Artillery Speed || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Metallurgic science pack}} || style=text-align:center|1 || 1,000 × 2^(N-1) || style=text-align:center|1,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Artillery shell damage (research)}} [[Artillery shell damage (research)|Artillery shell damage]] || +10% Artillery damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Metallurgic science pack}} || style=text-align:center|1 || 1,000 × 2^(N-1) || style=text-align:center|1,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Stronger explosives (research)}} [[Stronger explosives (research)|Stronger explosives]] || +50% Rocket Damage &lt;br&gt; +20% Grenade Damage &lt;br&gt; +20% Landmine Damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Agricultural science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|×2<br /> |- <br /> | {{Icontech|Laser weapons damage (research)}} [[Laser weapons damage (research)|Laser weapons damage]] || +70% Laser Damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Refined flammables (research)}} [[Refined flammables (research)|Refined flammables]] || +20% Flamethrower Damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Agricultural science pack}} || style=text-align:center|7 || 1,000 × 2^(N - F - 1) || style=text-align:center|1,000 || style=text-align:center|×2<br /> |-<br /> | {{Icontech|Follower robot count (research)}} [[Follower robot count (research)|Follower robot count]] || +25 Follower Robots || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Military science pack}} {{icon|Production science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} || style=text-align:center|5 || 1000 × (N - F) || style=text-align:center|1,000 || style=text-align:center|+1000<br /> |- <br /> | {{Icontech|Steel plate productivity (research)}} [[Steel plate productivity (research)|Steel plate productivity]] || +10% Steel plate recipe productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} || style=text-align:center|1 || 1000 × 1.5^N || style=text-align:center|1,500 || style=text-align:center|×1.5<br /> |- <br /> | {{Icontech|Low density structure productivity (research)}} [[Low density structure productivity (research)|Low density structure productivity]] || +10% Low density structure recipe productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Metallurgic science pack}} || style=text-align:center|1 || 1000 × 1.5^N || style=text-align:center|1,500 || style=text-align:center|×1.5<br /> |- <br /> | {{Icontech|Scrap recycling productivity (research)}} [[Scrap recycling productivity (research)|Scrap recycling productivity]] || +10% Scrap recycling recipe productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Electromagnetic science pack}} || style=text-align:center|1 || 500 × 1.5^N || style=text-align:center|750 || style=text-align:center|×1.5<br /> |- <br /> | {{Icontech|Processing unit productivity (research)}} [[Processing unit productivity (research)|Processing unit productivity]] || +10% Processing unit recipe productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Electromagnetic science pack}} || style=text-align:center|1 || 1000 × 1.5^N || style=text-align:center|1,500 || style=text-align:center|×1.5<br /> |- <br /> | {{Icontech|Electric weapons damage (research)}} [[Electric weapons damage (research)|Electric weapons damage]] || +70% Tesla damage &lt;br&gt; +70% Electric damage &lt;br&gt; +30% Beam damage || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Military science pack}} {{icon|Chemical science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Electromagnetic science pack}} || style=text-align:center|4 || 1000 × 2^(N - F) || style=text-align:center|2000 || style=text-align:center|×2<br /> |- <br /> | {{Icontech|Plastic bar productivity (research)}} [[Plastic bar productivity (research)|Plastic bar productivity]] || +10% Plastic bar recipe productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Agricultural science pack}} || style=text-align:center|1 || 1000 × 1.5^N || style=text-align:center|1,500 || style=text-align:center|×1.5<br /> |- <br /> | {{Icontech|Rocket fuel productivity (research)}} [[Rocket fuel productivity (research)|Rocket fuel productivity]] || +10% Rocket fuel recipe productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Agricultural science pack}} || style=text-align:center|1 || 1000 × 1.5^N || style=text-align:center|1,500 || style=text-align:center|×1.5<br /> |- <br /> | {{Icontech|Health (research)}} [[Health (research)|Health]] || +50 Character health || {{icon|Military science pack}} {{icon|Utility science pack}} {{icon|Agricultural science pack}} || style=text-align:center|1 || 50 × 2^N || style=text-align:center|200 || style=text-align:center|×2<br /> |- <br /> | {{Icontech|Asteroid productivity (research)}} [[Asteroid productivity (research)|Asteroid productivity]] || +10% Asteroid processing recipe productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Agricultural science pack}} || style=text-align:center|1 || 1000 × 1.5^N || style=text-align:center|1,500 || style=text-align:center|×1.5<br /> |- <br /> | {{Icontech|Railgun damage (research)}} [[Railgun damage (research)|Railgun damage]] || +40% Railgun damage bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Military science pack}} {{icon|Chemical science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Metallurgic science pack}} {{icon|Agricultural science pack}} || style=text-align:center|1 || 1000 × 2^(N - 1) || style=text-align:center|1000 || style=text-align:center|×2<br /> |- <br /> | {{Icontech|Rocket part productivity (research)}} [[Rocket part productivity (research)|Rocket part productivity]] || +10% Rocket part recipe productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Cryogenic science pack}} || style=text-align:center|1 || 2000 × 1.5^N || style=text-align:center|1,500 || style=text-align:center|×1.5<br /> |- <br /> | {{Icontech|Railgun shooting speed (research)}} [[Railgun shooting speed (research)|Railgun shooting speed]] || +20% Railgun shooting speed bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Chemical science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Electromagnetic science pack}} {{icon|Cryogenic science pack}} || style=text-align:center|1 || 1000 × 2^(N - 1) || style=text-align:center|1000 || style=text-align:center|×2<br /> |- <br /> | {{Icontech|Research productivity (research)}} [[Research productivity (research)|Research productivity]] || +10% Lab research productivity bonus || {{icon|Automation science pack}} {{icon|Logistic science pack}} {{icon|Military science pack}} {{icon|Chemical science pack}} {{icon|Production science pack}} {{icon|Utility science pack}} {{icon|Space science pack}} {{icon|Metallurgic science pack}} {{icon|Electromagnetic science pack}} {{icon|Agricultural science pack}} {{icon|Cryogenic science pack}} {{icon|Promethium science pack}} || style=text-align:center|1 || 1000 × 1.2^N || style=text-align:center|1,200 || style=text-align:center|×1.2<br /> |}<br /> <br /> === Cumulative cost ===<br /> <br /> As the price of most infinite technologies (specifically, those based on geometric progressions) increases very steeply, it may be a good idea for players to set realistic target levels for each of the infinite technologies they wish to pursue, and make their factory plans accordingly. To that end, the following properties of cumulative infinite research prices may be useful:<br /> <br /> #For infinite technologies whose underlying equation is a powers-of-two geometric series, the cumulative price of the first &lt;code&gt;N - F&lt;/code&gt; infinite levels (skipping the first &lt;code&gt;F&lt;/code&gt; level, so counting &quot;infinite&quot; levels only) is &lt;code&gt;2 × P[N] - P[F+1]&lt;/code&gt;; i.e., twice the price of the final researched level, less the price of the first &quot;infinite&quot; level. <br /> #*As ''N'' increases, this is approximated well by &lt;code&gt;2 × P[N] = P[N+1]&lt;/code&gt;, so the cumulative cost of researching to level &lt;code&gt;N&lt;/code&gt; is about as much as researching level &lt;code&gt;N+1&lt;/code&gt;. <br /> #*If one decides a level &lt;code&gt;M&lt;/code&gt; which one considers the &quot;highest feasible&quot; with their current science pack production capacity, expanding said capacity by a factor of &lt;code&gt;X&lt;/code&gt; will allow about &lt;code&gt;log[2](X)&lt;/code&gt; additional levels to be researched before the next level takes longer to research with the expanded capacity than level &lt;code&gt;M + 1&lt;/code&gt; would have taken with the pre-expansion production capacity.<br /> #*For example, if one expands production capacity by a factor of 10, they will be able to research at least &lt;code&gt;floor(log[2](10)) = 3&lt;/code&gt; and at most &lt;code&gt;ceiling(log[2](10)) = 4&lt;/code&gt; additional levels in a given technology before the exponential increase in price negates the speed benefits of their ×10 capacity expansion.<br /> #The cumulative price of the first &lt;code&gt;N - F&lt;/code&gt; levels of infinite technologies whose underlying equation is an arithmetic series is &lt;code&gt;(N - F) × (P[N] + P[F + 1]) ÷ 2&lt;/code&gt;; i.e, &lt;code&gt;N - F&lt;/code&gt; times the mean of the prices of the first and last &quot;infinite&quot; level. For the [[Follower robot count (research)]], an additional &lt;code&gt;900 × (N-F)&lt;/code&gt; need to be added. <br /> #*Expanding production capacity by a factor of &lt;code&gt;X&lt;/code&gt;, as above, will in this case allow an additional &lt;code&gt;N × (X - 1)&lt;/code&gt; levels to be researched before the benefit of the expansion is wiped out (i.e., research progress speed drops to or below what it was pre-expansion).<br /> #The cumulative price of the first '''''N''''' levels of '''artillery shell shooting speed''', the sole infinite technology whose underlying equation is a powers-of-three geometric series (equation type (2)) is &lt;code&gt;1.5 × P[N] - 0.5 × P[1]&lt;/code&gt;; i.e., 1.5 times the price of the final researched level, less half the price of the first level.<br /> <br /> Note that these prices reflect '''research units''', which will not be equal to science packs if [[productivity module|productivity modules]] are used in labs. (In that case, the science pack requirement will be lower.)<br /> <br /> === Infinite productivity research limits {{SA}} ===<br /> <br /> All recipes have a maximum productivity of 300%. This was [https://factorio.com/blog/post/fff-375 primarily done to prevent infinite resource exploits] involving the [[recycler]]{{SA}} and its 25% return of input items. This cap puts a hard limit on the effectiveness of most infinite productivity researches. You can research past level 30 of these technologies, but it will have no practical effects.<br /> <br /> Note that miners are not crafting machines that execute recipes, nor are labs. As such, [[mining productivity (research)]] and [[research productivity (research)]]{{SA}} have no limit.<br /> <br /> <br /> == See also ==<br /> <br /> * [[Research]]<br /> * [[Science pack]]<br /> <br /> {{TechNav}}</div> DoINeedATag