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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 #1100000004838333081 3,078 digits created 2023-10-24

Value

137497091454431315919973268118135711057255481173130402296287840339259767320385626672565589125465229219082340465073688628799881221169441332428868187043209561702933572424625938037735578221025953930617603697678616956412962685336999661613147198759263372508108367621091912627534277590759938881905948810606901804930620919720574554807795890292977325212912710139580841681860662151037664852774531327487523543448918502715860478024831062990114429756033555864886320945063808576637128065158034091632304652832455956914188558802189352162604520547357930441402868796061806089595217628417205023268906527595306816860708594245797917635076531398634159953011245712381133577176944536271729777260359791520212743210007929668667443696006979983018477286107164990404199083205687801599749372329803380528210280259033533790155299938615152025292218231562845083076077465342529849709875266911919969629779798830710259578088812461383727169294202562699143125563261843681993674210324850303760254824371931522045240419694794066947654616039043266164970501087153621789873081432053599875025837402041953082512503143468062819311877819398644730078114876728362211924535674533115431737746327667768864563610564607647867116370869428650559931263389597038913540888463634234338550325006083482944248183811247427766171452978149335588737044883160837840925863003602057032684545432863225100670409719066904462840339923943215851549033702179287798822185171242640577455608443421117692159788898943906453529938345301810573500114524384843891215121588706760620006854453649910915225868993442987372286840457755821373116092509931743879659330781046086559407533380541297946430528275155338719414329740108268897278006552532320740375763522278923150207086893861013914078531471446055077873701821534847794982880032785226222559361976157109159181064496156745782628087869187684556202621128014400682451998413441740280187244367417202643250489030670629562123365501991826934562299835480176518620416549688158316993407209405935552902666717775854728149249341217906794961703206373435049025100717917938714681566263710867583457406167413448197575509049026816270552989894524682103431921840114877180692427193941976951928282062746683865437394610214190076743802049960916436561803671567697563004278123539067182234347960767020390522892730749759598764201643132513915326049388036578701114912168380949392238175568970509432646361639340068488785546288258406139538276250568919150798806285647745505352055582001017694473730439826804797152063765185978932251965456941935608394216543006910469616410219475840893241461536652773368099426162625770593908260042241509094425147148117138451876128086514991233353303527250780970671245726833838122583143800403135109341496052645301569086710959883471588101677300825853549316760683854206292025994432651689851375841920907207711110829110079719923673826641288463113409986573351718844777539967898618484989864629127813016704077476238496212015204049491653539637945230285547279253525365602287449183260374268709925567926280115471377071967093834374889240657583440829088985023284763569546255919564861984516239898743341559104233076620797805130362386211615403033
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 3,557-digit prime (436 intermediate primes).

Certified number3,557-digit prime
Certificatedownload
Certificate chainshow step 54 of 436

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004838333081 --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":1100000004838333081},"decimal":true,"detail":2}}'