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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 #1100000004813851386 4,627 digits created 2023-10-24

Value

1355478007868755246914788483889861144602970191774202412530920029607046547012341563675550940036379059136344422780457946221046455687625587099393760800666451447686728831342014106817756244068615686301729751763741696254921333566403009114659810825504410958267901087905741001633640966074554937792692726208621359864802337192297137866076147962180703832723169282184771058769418248036789620053592727267581805265196841973055251434121119953896267739462510297544102443286422108785964077593291731352219254368518323305215063534686991398937341623895987881429618103618918298169356624070117876335972339310838301797353113427133713095004248127228388459248614436128663259043185626869674687650695262757470989308595726238266058657591641344079489509660835410859234666913375190978541151354917151398637636194837868602938628399708216791161985760525724111018806195773741812568114986228859045190856077149152543686868022481757243220471796240878374369477668861392198479257085195272173038067423135361862907536755694044914251634167459278054443427043239484587871639641329310601962543855418900627623726017065048791601713637138361817684411227608810484855907980294106521280357771942982789274633144659260503346841956015107896503837536957696006812261821277115747894093038590707059966137587281466690063732626451632404691864252612296416918474738188917058004977508094600050383534862499714253283862879928775378303374773703638454138119330444964275633952783890078475169698919416067969294260753162701374397359911662121670792499715845370944665845297803725611363034111963662522852232443427288590369877407217439545695026304306439880235918497888490800956826131729513737942928075271883556004258282444804488647813460540052485497510198718168541357320994527604455024795901861935140989479407951825452923194073624379945403980349668219793417587202192014772340009537552559941094544645021078465330150701855969366772556834843100712892647024634361893491796395656386910767662608814747679566844248732392752663717872460604389235829103283383090140385868765243652472792825383987985176888096004958618976931726204807480244158823565103574705773014830127391866730220070316900114499733336684640834956077121980578190847302895012937312187562714800075699317337269578739756390572023650542323123870840953078679595707079461407644136600749913422193021553559876156529280638453013416070990286095588783400861950443340721601679338917751027102454888634888599207593423036831522119240581384271907618462490111679659683320926952967586373836477523880659004346056514720668078037668670309398088304688981484074760976136994994205504942108493511271139981480978989387830819603293543044902807989604804415104944765701354875571224356063482004986968346740983793767760810682027324820459554644242097006201331264646399982417445897320488701689936237815691716837280354455054565299675967054571796559691476360994385906849402613846387715438100033851929758932463167752019090702258969026577259990865234878958473939969032648554181254294708786757821497953584386798737901621244405040238453850958875332960671045031260507536828140506343522517341479878475928719121918136426702367132408088052252159143714850705220252681691914255434505023128568450195934359435122589864328890328258602155495448633053249409567399517032598810365565406153498616464968993583893108704471934665915782096061808039642301392104468287519344644926756250262853355889853248511860333754096757931757318062902180952864087178476708467533198936973414241038560776325287017664804922469943519814126909427251911509811725255202944852291855547104211305799970939945067925111132036240334737706984119475086411088579676898507630413458293408905337273547506123669862077235427126413718271892225057089116746650972117293884916684580164703048109043807120341673655315448898601095008927616110731804329680408193442373056723287170859555544809379071642211646559452338956476358764653001576878343180126567270517897536562298587558832602216032559373265054585378084290551869715787077612337197021694388142314144571750327681941203178822912526387356656927779089408731213836005300268713112195875265079038497792398225064479462259763008570215565555356293172492760803877357319125764006000356194062693255042977905531981600996850316893896563609969102643579919444704768757730223840228370169501051930321436127260862847922528546207501511001009124357340697246258692250074647044464706075455069675527465269797150599761427980382863030807465324518555138625849633002857726022597968149385655171988155685715512776760569887632932490016077638571269320191225924286776952067552922056599012558131346099129247182166775469744385637644794643534470153347402217899370580584264750505275138782292909674588497404840843945833952539782178351
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 133 of the certificate chain of a 6,064-digit prime (603 intermediate primes).

Certified number6,064-digit prime
Certificatedownload
Certificate chainshow step 133 of 603

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813851386 --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":1100000004813851386},"decimal":true,"detail":2}}'