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 #1100000009130372740 2,765 digits created 2026-09-02

Value

23137202305364746448542160377609644403744894257488451933129226690922235023894143638739628789108502610471958566090460582947904301186442816001957894333583975633524559719214820425927921877352281269937292660260232844869116609171929613645617949836368381806841022322492749482758296404466852982431036531780639739580924010922572961232842186783955652648477122241826685511831784430566090981550140713170272469785055235071553095143053205790071125463001654831425116189484155577243506494391682418240656640840690682380250472842255547766664075396512164499841342775831218752960094693636473672491709803807863518848639722828007313484827960680515826840105002609634145579941771715425812125440093788915774117384709096541062202454375625044294724989129686365083452984960580617237817069451804293089937406805800327188389958058878951108891714737583160366661934202144891684744837571488487230137402191420667853535567716487261566906808729226823905655420325082287256607310643661356625202947670251536897328598790313194694394807270727117010305955036096786591980359119932850719403918470747769024243509051634247647242478311636330008286823507861871428732032786923733115003799994032238604071425875267095856128650873746277622625346978909543993855584027863573295942484519932508346603855984084395590192323417377133825366034851654907611708446260089710416005538926568189870070353641716487150495138623104854490611079635156598708710370862344669237529079151796006755113974607824030162600172461853258606936149554422096579141949121695148493626136622526454532713365157892584092545262949350294478252077342130768571502398751739957345295142670955423082738723932947306934728267638153226450017499605349803455283771505395636307888217203427431742328968996004809156353243885132093076583256893595363285137000970743840469257607537746061688764881577454014228002265537379297068675910210330386040351899922175180562814236510399129963315390452027651390105382740628794545131844323153053060279739524857294877449393411254262789872896328914843847929788488313541670868790644768621982850330889555766887253554734779315190900060372745536763792713649956078318137976366395588451278669940697214642854635513904415765306325607746601231745334314332760299091735415654431178331435072473851795156124575235183976931666455788614193665963131466605260617081991489803875174413241298934894408694165093021413825219544753897650076250764744319716462375252610476153276769858930844723533770040022410300873689179540776248719302474324408285049192724055581194878365059577368623559119059350706903455148429615205179293935639857110851685278108573793435243692131818012243653453494075730776672305731006488219110989010354603962524347847134438157064099469968270118646207638959412332197282873828631060348260367947891489711658698480962143008415300044383956173991915047
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 38 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130372740 --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":1100000009130372740},"decimal":true,"detail":2}}'