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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 #1100000009127304496 2,091 digits created 2026-09-01

Value

314102008447326251440886856157451726893361383933572806668155776256294554105389827621840601650233418145448400493750777021341838745334425063958904071197075704645448265391396366682958315205135723431300702266392824669175375675623867008219420140951067564455418469382509174725639699452341611622891637125877496155621567783591214682000441913912238812195997370276724000144751857949037355834177026737351795344795238278746548640645333520574875403938136241965103838532732841722096398849937352435040145214175634048468510589939100116877215910874598656938826726654179881967086512081938022313023184800505926268380867065789754837167936110334340714269995474072125276388082531508117101025946992652902267230567482179761866141615997937667834350487728037749928254007519706015556699088315749642364373942352676860633574204123923302931104589105524195079814775703380310519107088765765074972456050636830939384940059232132817715170090252336909712148185760248173862685597721225384981219280841217383755498969306071761936048804566473498438043608932587458948830192036808333449976490174916278700652355804548671858669335803058070237091741119233643885137634597512133845212808932718152808584625487289524497019465541274921934992467506445164127287356180827876711502697634929818227706002359658808835916068801362626647450253816166227281600455260362349297715639826798860238039345044360198336879703146383568349146858442556832821268464320612781951385029941466821985308223183426609517871177407793178744486607189187498194074953846427094282703587424702896418711428174435490326011826008508699456155378279027343709633676338839742596067399031228927186649399058164986019320293761172313787427329662275571750779423770736741510808943612338878353295224677121876355440143667097786740145447218983217231460177111737889247362348485901291068310514305304904515324281533305840163747784523485793646441714132336927219927354101854024752820294443714168852876792016341976106193253975197244831320683117467985919575011629030067894038429533901278145545295516133969288498299270713815711490279008603814681728362261489113725324211159007621968694065325937027915869
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 3,105-digit prime (328 intermediate primes).

Certified number3,105-digit prime
Certificatedownload
Certificate chainshow step 100 of 328

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127304496 --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":1100000009127304496},"decimal":true,"detail":2}}'