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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 #1100000009036772034 2,319 digits created 2026-08-02

Value

853484518883697165054891681118933469316749597028490071218030710097449736528952717566372440099756479232797823403614959375970494083228430094618355329049198199339512287101778445960809663666207582446224186229467563379444332512554769424890442804532278237511785202301234183526019028091398439350448067669988578088910722715974305895568567458423402387166223403428098586401252944415499553674523362788565230524438885846148444638742170120370171533954425804260904196305633268075606722592535415161056775154981074730176429855458670003023700678732931595622126316289844811213230669291597768464623639953960131758939007425061298577120151264140227617021633194087717379907378583117669167857555126701443104494518017303203276893372484705392017956274535752057965591073501463316755273057027640039812593190581873389215457015315021296104558283246802308913612904068117014757830859869593916461392648543211327596451084782810772854995670978953234337515358838277794280689401212907240560557694062832605751303198383919076853754974352089966650008118499331982441506359232623053375429182490124922550468399979222048957747203016787350986861532835134619260316367637023390819890768451111894842577358037793199650977712514205394482183346764523743370792426021363679380543953088504884383789796692282787643152659250478979861868296530302131938459263831402921736731519934517921595974876304900139792793388814799019441659662191802644921774019643330976090313813844139302699164415813777019557648336169152348434607767134438968522509538251347438247360103320748030543320281421568447073844723261221128627750024054131245581569922892094705439520700882662560306240017633747924526069391415068324415645310071338165889437137044556914226357524313473969749670139498943423138403829744968523945160507170601860757265960011386340865171501068334465455923536627617236743041407164257667088538568832307202476106415711977267228366200153923660517933991382818440047589045673270228580818009576919087385225727230806826852141670269377812961633657081446733668639347241979835547903303263586949956744927793413330240549069895283738605220149356890440095388137418498746617215833269211900304337376756306641706134548117410792697483849763590599494418826947646401357387325094423453157756302396881918374937678051632080467589798957955845670672192791960788556668113170211619500970670852688866316226186170568331
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 2,796-digit prime (201 intermediate primes).

Certified number2,796-digit prime
Certificatedownload
Certificate chainshow step 34 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009036772034 --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":1100000009036772034},"decimal":true,"detail":2}}'