factordbrpc · fdb
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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 #1100000008837099227 6,116 digits created 2026-05-30

Value

10533245206211045483109674083681910507343525514720330138428578548091051111808233042541689537885888161618481505340834635616917871382476963864265000448954718277252481521161048036204912596526646321913369135304269517554253716582559928493183504631111821987202470797919903697794057720484293478491090075369065783978055940577120380183910109589523157852133960255441583320266833319771429671634287203035816591557183112872389893536733049916301156605089678262909883550506528293351987905008812712429893380663949226632768109352021562281042028910362011789621102143733700383047007508660550178771476163154477222275684191386358523971119971146763984090491464088857216710765590783325306516686222655359788740798593701083282004583388251687033127476294834851779081379991878706384874277036831679781455546072392893639559363169470147314057217527404131564745038528878299987710853464044356869615498361289587203913665316525543739805515496261409739395075690671615178977480670327776788503412267154475946070119367929885392988846180276074495443456330482808434931110663693677765272065328415404989370571544361182694020505194766412519553415870393672172713808902913952383540568191509401502641415798306586312068600941820619005390650834173355591328083422781827354658723557855786134518602358221080488166358689448060782019710625310877686635743271442658877934768088058491312371375055485159135745428247506849473042635855042400546407606243096622990568901845521936854140191169360723788912295458746381638975605441983217788192026554241770628510954115505664283582570843702570956649265035088613772983037922019114859432308769114539949201594259923985477171449400374529209301518609411841613630150309976660439966434717482074102345457984251255849702844533944342489022259451194653403420906421116524864816369300631532852418430060785898391127686857819651973951522748048254352472593413988719820222273554635508900134053153553082231702301209244978504457431975006291512804723298296779717906297372171262134294834279693079732940001448276620688520336022789600091869569170295355827992214285215067765729029325588633277813196845577949491783352482800509852670141615067236575326078741139013449558790763298445770920433843186388606318543122872435371017340407710974845199179268661857831657875516495041854947906426163455142986346045841461459087412738595577381270503491735656870258922240332925837070742309347011780313460507972781456892464306639278059528894213063990213020299524294578543594817836707285341288635370627561951784530843692034556808922559563159374715210869355413603468945122274726908321285777211942626968371072412123527085215432307841660444823882920326866523936242648630004260950955904990460658256584622581792510090371183385603092164494779561052377428413473584840262044787903294991600675249659475557842563871420423056368893022852894169409663078872189883641176490950831359871884676241869348384354798277370908272764462860225640571729648541986436364665236438765928083785571587842274120588182803605618308366635804947287598948743762861044100608076075523239838550606682263407236375811859904316496097265542348598052649688237306470099180259203403396815198159174594600351564779818240268740351670144019281666463528763885491669139776502708926288746130281536976247504685779503011337567765214723928986676112535205805074812650873320761067167704537394762197576509869978803938096466078631013358975975283676463587152268477556827380971631292725413744642629039934785061707953850054580448688973947642544360464119885984971202088214271869616337564060993805578082370586138228528971225725568139248568105393717700891092635256566973656859491070939579386962195763270302720824717126958842766753393155350210474963652519085461375669662173970331584632201759187886397729363735954099964142704056324382202054340994888170041449646595053188703833731406558826380686206052658006008870052936351590572735648147826613024192119922227337360403875380419754204772723751562037967146513559464192226704478416488087259339631361340510063225886530146431971830508854602293370826816803472216677144148127235730215581960013368777619035272367112355896996779225726027990876683865193481145775237938436636952262224162001904315852026234983000762287978593331867522130164117230301708448378788603076432332135826758713804448943817005512562535990617129393091546707930698077589787999050765721053282845018165053469457040054218623827970042577098364093085605504236941070055105270573525295723662157275587700333561200372916241786621525185501408240424368033498822793613408133761515959436596512247358399223627290741491041928693582040900814761567617929708306362633736896898499402569143171257960646404051269793465674782752041364611591372282835069679757864982754819186250001443498970722073943523886398658479067828304947942662519876651426380484090920362423808236203892050363819066787403816328038763647805437055440263043294740258483359533119987718197728443488327556413228536095282864276005401168310075725424416379652323860749897417617277201209893337107412358511477328839358195768657272504367895737446196244975896773030779758591579979638283947620737769790765434442434403619415668109580453122213378057846311954925511006288249641504735167237493829666823157014561392589677583585259524841048758373922015717376760772585099715398000527623252696166996124708154277137962175508864952717407513231832503335818303416838425312199944324934839402607608778464382589538979692294144301834146111742779885340049125833070691976036316975750460227959212648420020233288966517898250647029786450973854245389505255882876973622886221982295584172483072683724069567021382486699936878962284884207312713761320094609011466405075855245975793821844163248273884961583513585927752016332498906159932626670821157549448693505735171691757443768706735757921554346433059352291146315506565295899209368452637369017190602180851407601703688389526086569176272857986330548403207104472221210854278708258783703273393176742864626078175954022112823475073657857488132570285907347504437616003777116966862001730209123861572010664820898365410242421175808997205348397294031746886129386120852237281534455927852361007283117350273839922486388011561847668843900446882517244657452630123944013042919524508100937245167166073
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 6,681-digit prime (425 intermediate primes).

Certified number6,681-digit prime
Certificatedownload
Certificate chainshow step 40 of 425

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008837099227 --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":1100000008837099227},"decimal":true,"detail":2}}'