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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 #1100000005843099207 3,809 digits created 2024-02-03

Value

73158683377816927422568158661952421427211916052655075199941911117795513811989991006322018927774561194320010605356587535870523364963818481175980083003664030079285756756088320932964964597782433700766434585631813271571771626165896747024420830949737766601490802127100002490470933258042411988866434053308766032936349532900890047911958101816842031738397025515354692778855022562580474205797747748186874182674906827642748434455604740145298761727638382577387961231369709893977082263767382175413486977592772137942603113365683631365367159841888998255399042119206204962069880386856656926898231609915858345740011447521953236414938695685249072341311432890858646565563918718943047564046278096075820771879672501982476273741935944601485814207087516756444662364145220398846266042078613004709917313295300879965171933163923855186248750352889790886964630161232204368502996319742340732987438432640357480972521942424170221309132611401783868111603962745187055539283010781308840416193469915186618777002595381909523007181020303224710006817425827075390444672459522569205920985118209682377354575731868115375639699854424540900780004740942029868730098760709272250317016660167766746450063086226522468783551815787500340947276813662182148176980933033968990895195199418220254560170373702117082810413200447666905780845509670471980214643010996222199631431263977704520446690616352158121243342790734565096147513704548533348138031502164914590993713718471600845076129749118151889146798827411870644980149754041356875950398264609323539567474128253374269697842644566807779596275264939972643425133519902963790848346867220052337879975790035014251268103399499681152597692854081635741073597353661712872092249208771326397128744540722326729531720877623178379914210983604356433740740752262631799217616674719775366774329045069662257766571879848848574993366800835993033616577450670535472165623025345404260971828330409885179806414159851586922156412767343166745798833657624366704208695892124054450882376668023476494904932168976392198325080702227992115453461412564154797904109030827445525629577170421801705780890836486506525115915925972172779868947785969363276740303002028035249661191138090671658701040761788208632140833957573220092433039011706787049432807099101668370526086465979094631536056256984401927810415609744311091263902739788480643797693013098146188475833620674728795211278089668935178224367074862872049994092148403768860308764139320637191498231855301514432664374862295084995969436109074415803202665907709715492765350462326481497259687972069515373610210721843617585945191961386654885691388438725806374175013991169901679453315795990670045763641867058970064044925172979565142426160160483581759458254449752713930297247826332382474045877588224892007990884774402617492395922949705986581550155021085920454072233203638388070585409680917414660335564266201245419808785824867774542115260184198910667965836519778651995714327438627969251857469346197555834036536001217517490293323349532323029683030301746894941877407333451693034294153514197963744387152263258607135594182157143020766638462233671555522054181559040839646901385207556379329447481246346045473762596117349738521084215945907881003768520358974483207350338673246154870143214459393967990329895554939920516968207867126230895747823901877707591319419040205628247678814002239032317675792552689693464501464059249394655121655578464103485266888761552493685148093208052086940986917958317108469593070999506044380827420089814568967292847743381664641241161858184161239129204644907819856181261618656013410569740170322257176772032625179466306416539060130394710591922269467459297134555679584533012145629615391608875693043291564440758601477261635637988512849463861519014757140937146063124276824801139145062652279761475077660852154997928001214540952073194995317827019570352092918081466562541697965544995247099536029166606382321
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 4,973-digit prime (263 intermediate primes).

Certified number4,973-digit prime
Certificatedownload
Certificate chainshow step 73 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005843099207 --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":1100000005843099207},"decimal":true,"detail":2}}'