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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 #1100000009077730741 2,027 digits created 2026-08-12

Value

27332309153371937502585698508459186821116699222121048244331278611399419417062518001534148656458052594908840115631059801627708557499967538252939980602435047482702501383760207937002021191961070606184547649996162819811248824462204877215418755839885539980287536761823574296211108039711058547076810425547782170451689194616806655872889367094997940408484698140857814231660608648999081428413680088318733746821790112016862776782175776001632208641258945444742419866232371274219803231045615178143865144453470749844716510138624130926455008325219990887025674954730872756303966855941643633194803283152083102929460852841111662720087407639639038217164352734267482001027920526827024034628945938344019384924011425545454718438522246888520027346585576937100709225436222789325075055265072996819704304934187359653326912747258676416444415985512222444856815671095087659380343682091615919570458731929685647648877963963220978561562426443499937228267775864544076669970750756741532307015877307512312512167180614291695021424166972707780367933208215623621183800271301408867254426807108443451471093874796227786126701518076408476238950296289070769866881213201661201029563737252702628390904321420147628363004116429731460101711919913403312973505133502057793559876465208466433736632381743287519864429529359999744412602914768272273153273589717041832370983245406064009219419991980457810456689585025817002240076160718633010798492665618101599954205127739091832724247400039389516343199439490802221376266899319335412431379994228227057041394630973497779465336553881471988738447474885954561970049517382593240431875475700881358448674097307380632352378599308371071256454655354120183968032417059939823602802231221334300227487776087213398606807732343373859255185627475949901513758377960593742784275617768946405718035133875883279808010542658899125445190615708656079080644836546667672794979974118350447962702222853766427778446953894564004637869363757508735065147309745229577982251691200362891469366054545768219227219720438774947352814481906387892160291608132859854100188580111
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 2,143-digit prime (163 intermediate primes).

Certified number2,143-digit prime
Certificatedownload
Certificate chainshow step 12 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077730741 --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":1100000009077730741},"decimal":true,"detail":2}}'