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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 #1100000010597193414 2,890 digits created 2026-10-06

Value

2687326134407662275817988569512661753490877498867417917473528649220282670403583723314316694003147570056608294457788696879789655051640090276483073238248414550104814581081395235370435648971890079343081568037485403374234321869996070369299244132873570862141926349044448959958842889174045487175048250664111682418689650028180359365829834671776000473999691827516640784401711582308621978044229093965240302706453530086281634521254188045323103554457621903284560691666188462824128976081214471072727573959965259652978447527674827465034851863211917321636775383908805400204229522504981876974772290666690681300589181951030050113219447560709633111668231213003109201481087048472186012900357090452550215377471428079041956534517173124316358070151013138398270620762339774204606015913071749218809903582305007415973482675198928069211219113035927874878105860753732073434567931368343436766628553043139008096687729694369017259082386102185255383383809642625115790369926211990015970574679191054543584701606488066433789817092883941542311617873196038980706703528457727524539057507763251866872285114374798186075116014644104767824548459041581858978760977836496569885769009315351257005231478293562215906334702405972630442028078641887167600113175052694173073965659936208449085800584231560191613587455127617208937944595709486131746006910178178184204019427938880917035236755648159405467725273828723541001833918195531956042594232966175890305332390692097339827650509090949516607248460288395094820809765852180310077483334324065580358652054735468323266926796479627413886712056898694806129487716549654688228960900891277772554091709024624026994261223096989492149983367886303074593690381853781166490721744471387478791984454851552960978963744337125414770821627459472662186468489400452654842143009379324592789694518836993074181705283800951461241299191180065232446912008983513994474668618116001577198943166788733644275344213826203608486956987791712705881978034166129171847317718172829427327926971787881529920744197471253488492475552541215544956126899531788814986867697826756593370567161675718548648129530488798723657204549150999753624996303458063522012421356019393919492423942552260701898455718944187734434671499326393297073100528809271624011234047858102983078004508020208251589164320462973114124256186348281381549045517629983175633438328551270379986146496188132850047741009827770747485076723516484709796013191460464000590700872151362923439358999120826296863053489227468456472644519012260723302942763540718801467886738654165283605430129859332399444058774549757844162126839839469437865696545515695463318629110967496799856782649755798239411328043207506711096168034595686616260651286628323536119953324123997094377987094445416502144088597026352791979515582019355834889470703267030513554718706127109735510388225266144917307979255518423628552170728607733680566391975006685717531698457298440294811531096853799288068099369118071145582022880111
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 3,195-digit prime (327 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 35 of 327

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597193414 --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":1100000010597193414},"decimal":true,"detail":2}}'