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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 #1100000004814384087 4,662 digits created 2023-10-24

Value

622473141036191998311650669739865951932589787360071359550460019707083549434829208058608578972463746002901081247745874423016630263704828062792341371571882666962574218762601367682921561980898275468201312059307516952185916977035404445483080292414557248196626155537223550960069819324202645816760576742768035705693421643070541730630627206777342411765492086168049116358207940157590459584511095744098461281339037927260516464150240099557594888709808012854184146826856960794788020556734810309659769748558150069036593341092434390526499220183962000010285156796190411897475488513722317521527161357985497861553896902338687684332305578715704384736439633379174437468016346013958185485974691429526275016023117666578313332400549250306286375623906579536305618806504318887780948513995875940469331213213905779479219583650420317186240119443321124044006410064288283086048334758135187298976515310720018016519841887927055869561316965168858944173339710404401261804059043395925511654590983283842630154666333599881349391618491212262783524125956417816920675502646879766084080457777034287846621434148890106695882938544937808856428503049017350217058602160337998286702808396352597882548674284231790564800453377435488716501909145352182914453070096597636359393756686455443196569524053020304487427080674531311412817836612826743197862452560979523226075643049053517685238094573612862254892997112817942229418514241267949341762959618316216299814789809479330446247719696488702309067799168994136048377716210923362753343729728079614068381297072787054754544339491915137081710994353343076315608572249611678070947614983298874016769119487024276027512310867534564050619116357252661254243565184322845683131644012560576932296789057064898530452186276692718865617210891652567459288963513449513928948809319296356064428522433553135746430673889044412303643299170740397346028654018186949776599104406425665176823479792794511357417431838344983031314974058449037869501882482372563153094438327776811020712406434624745462512305733867283452928305354326282527117162639592774386403339901640146136868353655083605858988728250367667375954425907281096161013497151210793589621287200246488153637372540187237676699998364878070651719430946762706453957548427718563063297322905052353076591277413975358477710600856997785644937953034012031302085564458937608626839699422566964389258750054353567269411810643486527638469570303859065467724342807969888927447414592007587135842895430564885031487818728500424063554161237089799275077117667559430688921069322730386783171574931373985039770127098153061388504316650735187974421624897846381610881062511255713895774112654565200088263374153024364163313098157498613814396775941234399640521499872898273537138048740610121040602088033580953212499791096883186198269237410253620901731157562589591812885023384153368766163235324903789091330542991900152861424293177550197318592837457788961894697054441238186250351373368300702020475111898027485298700695473566786933597171099057076836886833758356162958459829738152886655355913681659939871610790128008327856799053200209976773969577689915750230723254264957430654375764185546890748988839562538051212297329588859024169095614649787100372383858689777299426121343004678806061101746269809439736883426078614036668510746789363410829256039802784409111458351929312660891402960936604897302515887801313948103527518143421394635503072589620247750219585060376898107787034090880588911913200386559900595913667981318213859363390545736581591084495833903655355690128003048025677423561359882964365790657495205173057979090739016734548299693070178716287155838007982808699612107678187124175671000679422497497836658943157604244625910445966029841362079673369344426757452143706449186733158362531635793409467340083306933329983577585276363289046389908056087078050043172983630881563836374058665484685051972065874455863813127384124581911669767552198908267938851189848365478440409480414855268438819828352689261638096394178946469421735933813983925440356856449316606092644881948216995239148569083794107478485697837014759628288765408232103939022264339920179159091903144746340778806718203742853837931403872259719020777363490224597384441703248831668919339816495337792128129470931909795698626426577397746663306548441260628942155586691582680564538541280495530458054343451899278431607897182289928864456668443440249035641530447171449534445943743590708259080441516828477838882979233655395213582417576218223507299255802275332128787701310263083421894136608671671172341662393164082267380785723908376235478239910645628776175026797873621594516648307648438651827191976396396827245654418446120356332732365287435215716512362686369145948698432350914969757097712607453384662210739359229683673183978306412022923761679
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 134 of the certificate chain of a 5,754-digit prime (776 intermediate primes).

Certified number5,754-digit prime
Certificatedownload
Certificate chainshow step 134 of 776

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814384087 --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":1100000004814384087},"decimal":true,"detail":2}}'