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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004814161827 5,627 digits created 2023-10-24

Value

25868446684235976532097297626414526177932365110343512844062302009883420871495646747816908079559921580141090491460493790089966555165977341702558920205603585389912547248462604149983331395679460915534991115306589367414696189493826334870169378891341293776155754317649489404586109367342359547206640595719224012448001210805728183677439291820378520566799888301602176516861613418127314491931811508689686470227710948227609442481242807239620378033586727454445811618395567623124635210191348227695879961002693875383588963131507906757052385408826994867325511096442691763621741417457291481580047472989465251019960514087730719792702376284079590434584553288122135614504495487119390635531506710992635008122124475586975448385514234859183097319724901653134339228433650654529663916355073366567538258398639401172498064538314544657383710428855809723230179247922839896893129977084638896680074023285663894398195517457547764447144706200007035382096105464519769072896165112860749022450649095756583116100357712920099641655884533872571761619397819894657481021891828883560891867680293024623687456303111037460126399600553994294876277043271147254726361547795748350483302925557410850422797115426893305214218313764463856889850316670682305156378814954125686203232515227742973236731976527647864048792007876369719445566718197976444548540984816552032686966228697344293971544871174526568979810968558843235160668678956586551780880415019090413329826129213323572164561602413534904358749493437505593370750297668191574253411374986933350922494554829778035623479214929099781862480940394881411517103418217113133583054190191461836458351874240975161931500948989437579600426282143261557474544196563122918746428043470295077536138642463941817184801043670526288395512730565906844669485956038800391992931857618913708516308475485566945218581497112030360898979416675052955687032014551681548893524425972865958458088058423630257378512835083840991587235586336510503761333702891006724367220392236843598699646186079058507278445496612848032975875408326952098568736196598921954795297280515360196129429625902132732527297153138570086305346745747343798036684174695946926060721969850985188849353242304240616499878948843835320490024299970024408043291156036485340977394825585857141704518530652147295965199388725416282531436035758762340022959923801860246733653067125125332235091168155344173878209380091975517544254615851171675114287603174851390342318420051419531770602275583431355553047437282733895563019813349743733895045382408157217738166059829596997580000502478282788282195757231986331454399090835088912264688246730224062148649079198942842023023991416222548558036621589699737292805054750515649986786319560227949983218797161056480594622847098722122846530855618184843606730470241670547589284158098626669562609758644188020658242711439387010308265486441743169468835052787838970465574084259532759300889155192025563675141048314928816441988613182669549976693612053370695045941538589073758109630911024113487508902240173801901537871004946946610196617569176344928830730156833460537551054475336300204523851519282212845542053152746403349455454837207932124528458002975345152972275424504373972870052827530604435114350971419750653429179182764556528313392236455977142092847195078763956392606493695773725854953615426765587080638761170840609876249626320923122842677602904909528143085161409226871235160266008824296271968713316310841268058001431218368009559386296097703139538267890665438156646080271622737177905991395210108374072442226367185292241615536129516304151833803891251606266774511394499473344457140318767535059479583134733134634732019399315182553098589532657883200728021432493950072758414857128784109983063769469577926800116346069765799091442340449962904136798605694785174831562754029979910567621535759386971126375480460972325848751910077228528841943662681286036695640177701615598025272824973401134693801476615982962727370737799702502383543272649003221243878185751686581697910685769820560363221737797159321053410858289212084886493652152620500269594731236702442883699843388109459587672922487132163877004824140751992725095440118138712622003961038613919039846870638354593381290662501571652814693538745542472018079363183024466880385045743022579840314619990736478212121286165324182199482776904920987612028374959790987510357409292557375895701096638842951136739649673080442757764551988137924979388171971128019465211291107637780180650853869144131264829044151703396954038006481977184363077858439291829662924339687076633393136991234696254024922038617584790785000399680623166631935192672238797395361649696855570223987111043601775916817410726730260397344069050405927784081319015472769731120607258580245133793934868881277562066000919619143090913628503295273151442745328334500360986694337545956470949711674012251849347120291772672818721967554318679151728754511752484811667549467171563260682682363793975017033703301664721460767813271017685899052362602811926998911029119975111788301823487583301181176267222081542956512112203031884157925264661674764509538337268352666494653989178836643600019443670095181032503348179888645367009111274255915703412809750795446249891758984538343035737486109382752174301625030214285311601251059658668229630648433519703237750917006486697908325264243570181267660386582295740785878403534928776818848029642197443783154194581109500880922848207550559890922682344839077322630455491081779213547795337801608494242276850375148216216662168953377100225292192061645547673413307880354090483202953678132467626923610832190244212494574210069555637131276644268587076052117682523729501710605374754033588505695017487961093981191098064540285683384925845135532257724627256373184475701188097941033817857055358501727
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 5,882-digit prime (611 intermediate primes).

Certified number5,882-digit prime
Certificatedownload
Certificate chainshow step 24 of 611

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814161827 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004814161827},"decimal":true,"detail":2}}'