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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 #1100000004831644220 3,732 digits created 2023-10-24

Value

362919058261396252387067100779796458583961770400774795907114401212569658967963014524496880306865520722235099056781462401313322631132716412965394606924758038205320991334695814905200054527635378599827710666971266335353754507727828012883668420181475349371983593001646503232986498600810095448789579175776880229531535955959922074817771339929050400313964699799392536954995116776852548851595853967323368188133961651978219783951647124591185397863148705595208562991984019216869811046299731700222856049914125355222259287715988543828146540298974017176677395657160125283005469658290666317313612919234831066790550738095768368410801514772684573463458361425104117344961313248642383783291001637312507597121326384937660540595844272105319522426951393894420354008835600466734489085453397665969039791848105319855580546620254361867812622830836954904434231759237667882946730365633619331478123965374134128662902406620066072986254087971998277720234377356332474694228312806030768427877368656316145958279920726363513164121093921859075574969927855668036662440655365751384764643501819551165830570491884901986782265686325085587849523816511991116133789662836088186702309069603931881304083246831135189467529961437589910843149592208261135414159737953662487624150108901016750981367785927225899973645315942349352596301262621720613305067555177827327435059231028265416066257917286147777339074193919083661326398892186790400588048646447718949195449327425551323437743664944901038370807790519937288802464786232840259978585673152124952653999210715405654844935350716365097539966888886985754303467547294416240590341539639723602941226430817435135436382878890416845412263602616916795064366269862205874383229831787019821308763685124918802777150818964984133604878888326010101286132952271566665399787623628951748955128232688036058814152172236511374002243863434064374417426070804333927286208603749238868249613528609929923002315183634719161788518323962636295344426871672459973226741313198986171535953101767508540971021709033156534795669910054143271569880812164801758513264590937969030927751758422276303532775812376204138540606535997263401197813735705646416971011022652179240087669502863278720293651547455339975103938256965218991862558854075276107119216636245242540748677507307555192592517025576922201358485380962791582065896193104678663670801435956030341391030697719147278657902907978876287503256049925015297817440309453962290110550279394292474090516364945376443834049170902086457814396154800133267482018479598373261051264399983460312743321475930811004428182512744871640454319932718168693832293788895414336391773686468934668401122528455125480050776807709789258886400339639798076605598154747171938427907096936790106215493119355956300200477443438711494371015804266704093957163292908133317845230473529812341271072072608993741415302378249248962006483621581243150387905328970751006291956069718918687735009734107902170784264449849019842839055680784429240279044035127203461419805994147308363779753200124601281308453234608088256490699639439684857156601094419519098958490638683198918618851386731420371185239295829663167363776031370661084980402705519004724398269969923796188378417523496590729951361134745855515626348581164294825619893096345828438765444675769971360832217951416541667407387236567705745338773557197021770008784456904348203054791264197255836437184861190102260100440324995672204551937595161812563942183816743308951220093224702783742619261879355849851599299350480231577091163926403166819554653469634223665902882007664365355776350316411579657723073233811582987782404056842571015633449214681420610616977349511945862370529548490454741364108256241704474633754596862628921873722173086855758529194778731827016291485469666321900855236950992258737853739953065675608499556868539737830027509
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 22 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831644220 --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":1100000004831644220},"decimal":true,"detail":2}}'