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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 #1100000004813540917 5,455 digits created 2023-10-24

Value

7373616882049963890258598150012264297271208993091483953493734282480813978365227546267643453505634647476995041460342257273452449667178561067283962872098496078946931205904196444871669943943297376729376078324266096349753855337435818546047103499280831536425463217744138922790123311669585703473877063603730573318907587129503859872073142424863082535349093588551923680301812923882103531378821055044220567624721730455728549730167151306356804398188066483028291356861692178629404355846662490853364238480320517706943154856130218045092247738707793785064897336947141101360354122755821129211101154798984572255872587657310692913353997164108785548913520718421822535728257758408861149928958095913211975798763645973254462574979319038847892100584543344167503155076306567678482324866372359945433803833234930123701707753826671392239890798327104673468399289204454956694898299036775245306914921644212491885114088127756318367312154758108805345832840870484390719485737759906376529984027432802984146230615361928902631867745362439113882760739790382580014245353487083636099661378247279554472058666548329359443882853738004018274121443902399721695812524750505768470440872467580664794761928302112556095457756321256774881468344092198177452042877395713108413324268394076379421951782905529547045899537160103439438831306791725800096330890860324521716801328460659261100952983705307786554545883424860609812640182899395935027491147254643703614195424769706769088748733840751656264849994253685321762920958719300489430478512544237445380722974108176081919039232672425032853051566527967996438583330054428840141495402434944323998886665087074234680256152615130146376539187535121966752745856106785676449428438213272881660655828183760395054882227288611729878804376817968622675284653947287614706645774666123303946861998441494648437253220728445829495856410258782503038784202724528723366512906711968638959999126587308591369658268781339389214827853182987215001239492707455420907736029986160234212199257523388681759626565887040016860158508457827282195091476079873303437506796083321019722366174176104040279213905067003754300550301817340018214775105764401127315608680577629360955437988580557619075291227891368368581373100701683180630198042674692048072765160468611835464091830250532237518851216957359270287694651585882384218481797991465237204997367462212189249101322613614174258065002180500178802457538586884625609953819349874352635903203517551545382410304845877096060735574894993336850540539322712027516331645967371995671751370917485225134970639298871663875023698339813470982162873165053932750419889038239913709552468028602932009239692078773834565460896443518282649361555984518193192642998511310229361676521658490737488230992473568733786789093915824808645423182884421788769690067247946370919978838917882329784655520264387869836744629847287683270696118263389537970471653123569600382505267178854866572427294460220329938573934610195595835721885804565356946722442077688442151622806695050105548593223320048178430106773514623395881329975528734615363243338903518752700272287069079793523501639361403533169114246584356385161306396602977744897805164425649931328338967633869407640912657799200106954880208651713444975375091595049554917198037451507642053834665252636342626920989837771785495582357590882707175895909345473373777849117194414023003164753048104326072145645471376639268627600712312903849937758263133089086272396703847695208533466993945357891344483719626240500292546054737374811030414616661225498748682055708185085605149576409437316659365038257741334566042442336486967431551553375033441848369866446070130087213920736205744773381822768616307272311461339218834390692387635610706540827257703481332022754046701345033087754478222404941748455080581077118732841488495355900720614139814052094456153565302275049236991751475201543628787255455807440537171657338965272062393267456129062012905355371031057531889805586161457401137583872177156065511312692926954221951772016772036389524189307581322262534111817627530546330472283818853057554498932734558221393787291667974792534686488631501168907893286379744152741638581637789965595062142435838513657913947951552185637339228458550959883592931410654109065879870533555385398083576744873573449268360470071742140452752935775873856631956927800348188221587866248855511282182693505168805785610159066256431972864310680363753763493982474801363892704325275131180347514630173186894006850044204561895243490394942311173268214839594496184862892049149828076247784294587364798419589246618390812350911198438110137834996865107315638990309644434270488754925995840224862877293091146606330397905085359424339970727283591721893666433889134149988993537518544003330615289111576666934355769694540043129994126948093888235814132283738427709714894076114305971358996842733569633489966388593712489362076866812718513175568470836013334011688025112925376536141727472422973406040824080394354687070851138590506938017282499386188177243012865660200274190786173682658252995669147650231634582419636271691939746651451213616450763038528341241524590015188813067441883282735419682893813927811990508169766315048784981309356350535349151803064242085029452094214236644197466230421009186284999109450514136130144400670634685989315766679233871118584704911013484848758789727201301525218491519337206413845765011245152526849285678206360204749047110581293320015877103219194986013437100150830963510071073324008402047169388304170950501117511795153488555719681814652317517246162300715245912539345126170459695634644553701198692606056562963
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 6,298-digit prime (638 intermediate primes).

Certified number6,298-digit prime
Certificatedownload
Certificate chainshow step 77 of 638

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813540917 --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":1100000004813540917},"decimal":true,"detail":2}}'