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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 #1100000008668726586 4,472 digits created 2026-03-06

Value

18336367500013292399660918598520101586116659748394752604126864315021473532081664921212161648921616659040120805134155001039849739947384591621245135648953664169995818561271930556964872827604118870951207191487256656529853275830463944375469491052054047090698304850001737408717444871514381692842378149327426774749307690091573139025474641578128500491256468646683797188548508197490800908248775710438402003649494387656153106644580349117550423523543255771375276484380077760393586969822682556138614864743889590031010798676271690945546014638920922169155232755913802967859533289333169128703122896947616191162930216529998499916030687093239645833109132845215968575880579005830789800668466081534619140855294515262457507952759403785469395369155913620430450422143693952595864036899701362062125609538042119319406909461357832321074735132350202943593888536020647101218124694389526523365733175877333557416244610776450392624613103484978769212713200605222900357936571343459855196447407854166286902463537901087132391278290870682204255126707436951095397519773770552687108562612318132273313202413288278664875387294019468550267952333660390320046015131927449075343998227135847261592707373725454062685027277364694012044031757737904183899569550697725969868266506824902793729331300843405432243681781271531777879200699678826682503975386592220387801334051289741219080338120269620108782985713507610570196836648966670059636307983391827562084213517500638453656544744475570513576945145509963194065184746578870599575887063311836216874273030737960186588138125323444122768733779368308942382665910390679977301109880935093565715048779610654612097093490687278969549864811361416273200401850613899108310556935492473852389587094860260528056672689064376596753651387590939296908408350487901742313448137109673883272120290908707816714465109237810980531211500043407068603343617382650413540386458944836307399860919193828560744265285636700643411711195351217852032612743269232558098690407609324486643650007427164846548601030148923553841407708912504806764325631155822848133090178224935132031430633582007910272039261877732503841409703024473367013439635397478816973755179375044769933804926378327325079472862289517313713234197808119046278067692846886618686084849200291303138824129203255157181865760177111575289757197963440538683155916857784939190386432307651168068446251949257836410961972672494555852357943392404515293953410124316539792734228271396532026472614323150525425052484704768893864918782247665828667784297149865810629515627463332381711625986357289747010297077866712235822718140998317579768953912576777955558847991632008430505301179446839053992962565906325738348515759219930925629597342773047621975408319789095334007708844007530250955454481008399150844039957315119469184997383790574678654071701473173630379897784735050545918334469842778813126752714536551988013242749529266176456898367798565754980508360912316235840312600623925536416327195071813933036599709332391402734658428626829846397092437597348023585373367802086768403479275077727210565087927966863484507462282219666122220572736042835583146828664785445002678581915867598508644249345920064926079520932408049816348248117619495756078391727342060893474296776349476405624859985628094402536204906764373244092329181553664930416991425190034756362952168598967866559873596454801392682853549848364198484193725550526032451847237634504840348711055923684092966871742875802845915494443823806855986024764552108731035783540929706155114891920807639383340773088425608923743205289367445331749782349693688416652977950078573872565560511978028780902660610108877498931287084002223916108635001100538708251404430735319518908563731145013427251231312251633955444068739374793168766118160352074238724071687524616507983690809289455696061502545196463174217086194102027895343116201702511413584037542002658330408466432555711542585413892714414629547358075854576678950942619570285386197180363467823920087961177967702914299971157722827112108644833368986371826883329106879677923025813731673964437771601944637842548769749505355225462484293032634526901139989382936861346203747961078329349795334339994472391546941631096934796028266953148754039552974793528049865959698457052124862292869269789635791087404697551086351381409269869409204904865458435577611295902442843999211646742108456274802410732465424747081074940154868817432740275711723076395319223053374749038111182555567458247317964957154879288261779399061469412838024729596607607319657584836868114639634235895719253388544595358183215316737520932964216447837
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 170 of the certificate chain of a 6,995-digit prime (463 intermediate primes).

Certified number6,995-digit prime
Certificatedownload
Certificate chainshow step 170 of 463

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008668726586 --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":1100000008668726586},"decimal":true,"detail":2}}'