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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 #1100000005816067549 3,525 digits created 2024-01-27

Value

198416703199487497576998327753760436145557176766735944692911919958131349009780671072328606200604649522914093979461741505141286099512930627002473378542837622997654147991290375333641593717388850407622162278178129753574026546693735979586780637488051856661945367932803095077089777371939390346041127479996919656615986063596091783007757166474166435210871479283587322488384021696997640242483021651487450035510665066825128591703493828613969908727287832387622820445245659452013536330227651046112324450011832596227976412844010744653801230968749784536039984795547132982247663411938309867348606177770169449153604322699101403682335305620996753592760865681641818914731628919769331031757482709232964124507557095716475903742023680387146325829994626905614433163595371487627349679350200459723271193155753098229596074690490361353434209501428314265813426296988707618598445423773447076457073923525351806137178788986602149090121044598233399900881549511719627195522416939515944138404008691730563135969569584991977221756103569595600306095704559462986473600016460234037580316785661272537284323539601253165509431284951666798261841451259597877899176844035249365119163831509386960181245180667831341494182455269916051495033709322338309507803930337417594876813448650224459204526918846859678667662588264254868265358444994420753507610517167203888302967864309699164936129584773682572610688520449177824206219212751925643398205671900658064978637245109251250056315171172706192062175301534051827897963563731524370104315558375741516123101882816600741408173381127965355582327928717098830663993346243315129135237099216651566949555997113606299978451055364309252776790185882524404858359305787196470458406381874947319386251169240590205947295023994820683133706343743645522744126945161005713390685588880069924685742806492294427757826025134067898556116840714321141303933540592628152489708430211102991949555272384588743109096377196649271030560214802267664697454427910480587839640083255748300190313179163378420227723754771462503510216376263062195657629983105107296233050204807311242195450902542888852206703643753329342812165630218173284969458444450432671071193542252190884362592894428097312794449657048362648060931798365932833806041083224216816623589983552566870387855354602408469668781794171493858340370931035603743835916816879762449992147513400941955311828691899725456268076131471115906199117739589263096919463680419349265651613667732476616258430128612481199328157700764419923131104550373291870118919174987106786562520300394653078358719053993970661081471382348576044216650393402954336569900403992565261326548645104662935166997683110374944481312741965914736203777659131023205656883757332790876991824238536691283613865440403324462483556446509753264780570562684718155688483882164178907257128183023051913941301312968793481418674532124159912853190234501375086521071739897335718507743105961263547093836072404825781418671426210335992515459696024752926397200033897753698624447404283168247386327069590412777883969233490167104431392556730483807948840111092662791426992673348554141214058929215732383763959516904710390147440857039309623025723668842301502192306849569525574353631899997195115027446273180736524911235700612739955302570458758839228187405146491466570459655981565268937557718097582415656061823878784067196190180246284671096519133717317361180013101081284634892088492708780098019772256034149403159792666913568280891353418379966488790573807374141987554796370370098585547548542960280703568433220057491023663808912076053306117750996052898024887041771299306750839945923292519573
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 87 of the certificate chain of a 4,860-digit prime (294 intermediate primes).

Certified number4,860-digit prime
Certificatedownload
Certificate chainshow step 87 of 294

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005816067549 --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":1100000005816067549},"decimal":true,"detail":2}}'