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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 #1100000004832108551 3,716 digits created 2023-10-24

Value

34037090416637987847043219530896044321789719657166901041894711371555677417699770505652735900113126893584198294906312539967378806559737277081662368416102125958541185743976328317665899146658162952220673862784826367919099204754930757098798184816033304082249937555725727854301985590382121242172286798424660383580778374687556463425983006887300847095024735476169637213351559623174097555428960653938556401958497284395731170400218686883584906686051812424520842278385643828184253205358199824004390747612079144675889958503423983126494353595802069354458926263604611677151595682914995928225159284835654457800741166746482204092378286743182142297648343134044040344952701888001426969610807553325894927405297419250204874669071800597824641804780438222591016035384715453201488849216700096435249177372202162605360477208641015761651905689291904356563792676058943969101458329821039286264609481421224482251868114262556871503970282286204767783246981560506506812817371755080187367137968763264563388019205988935726307877269180748642809042570603687740298635467683542212618670006254048885319474830442929795809370967886089789376842102040447775929859027627512242157991507130095680877213339550829831563662581367330532279210906794846463659964242718630658357998858119796416970860736884106351113018044528093103256178050674643952636959952788068644640400778924212394018000818885561397781528245574111667656741387451061288064213614544739491379464435332619974903422234129815747903722972992644214746424614664365096728691681376455393393908549634914412624575057826768170477519595292412401189690443255221022088823142388048859710303343556039426461030625089169742320498829180278067517423689196555745630600385881746196582858722568340637623008259320873284725818646169114422986077145552800023731918333360336828167324100643140653854531682186178345466807627532850705368937813732167997308772297273880161782759246127332880063925039841453512894516469657519779024954189888757908814520904274515693827203706315339573593892990747808647074901501845749293463901013804455063990057924323790578612158780350444097143091329915138492476440455135799403449283069179440883694031180412891184330265241441746231967953334774259376444266142422395699556143511900108391594484180123548770047295925767937273631802408250679213878059996534066396043642772630272982052887905061164396365344171324988483680562309708286032946046082557246515674204077913341611736576923281666684004839529000543453893924359948475473584066088039087180656272731876677997368085788795241788949825045105517184764078154583801047512213234303625784800868572028418377744355561493207252088325463029063447247905484346772386624030012089672081222988280740406697954345088075115220375617827156919279941894175920406940261339007609487879431415540855680466398873099868515251858551359389146256648649403468113354630921533242732693563447627680646497889249135620329095050017307243823006337154328880878399025593618738719194295639307790324082600478890662966004587890266235873604499240904297676330823114356530845842785284855533569339991572312136026187366975636502954196650826710975120095062932733916803101159887094074501035656575693329911523526554746626320450972683165075719141063376940907056110669424601067913655977972948009731782492406605365936760739019913486997630402858844657230411415817170760201919313230671028400233279268456122392981270583773967821630083714269874930698686094362965457949328318274714936406182674480342649386087165491693655844915792613246836001278055221742466693267265289683527713507306309056997189767778742868361478835587743600746610708774865054326334619115250769410262892550625755540882443828987341569818700086757336933034316875395206185094723632948627095260740642937805503501871320757013608262357955664970530800742033491
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 3,889-digit prime (407 intermediate primes).

Certified number3,889-digit prime
Certificatedownload
Certificate chainshow step 17 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004832108551 --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":1100000004832108551},"decimal":true,"detail":2}}'