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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 #1100000009130191719 2,794 digits created 2026-09-02

Value

7553232278013318975840593801989159595626967145774332076171803147143128009588972463438761397389725758032588156368055935675697052859007021094092416150467258044700627940894159287962176687790973705243464715485422890162173870799784042238208266711290095036708514733175353583617042089976416927201563794903249886425227054503205435129888296801179922863425915501225356185254151809549783182202200343741508722050768185920544615854434674448966416961169311867070609301403531477578141769859437937025708867805261940472349253577840407738033840802417414901827522549564877938710899464863017891576970064192981951063026249130453658890155839250756282425747186692715584780432947585214105646096411908782574164597955901802483248748994246875444896072679913220425829936077152413034176186488990885285948509601261215835774173831760479933510379757256257886391040893762221703276812724425238894400502705574308409366156806103889745412469333388109951538433620787185776905539188497342114073344990496423426428772472644897118227052383564616178328758325810346347061922537615444595070888279971569214089820113506065195426250618815583309586928756632358094365223403966616267854175042812365549448467546194511187223183619979363961348975802108780178338292866575944756893734225352959645138366039236484460628486600283983254130637672496531024603323423633008977467247512025917870799826454831114377952953312825087464072194310236876680457715449691841265719651138917975667708026067624342255387356443504834883628170309282189326754740650147115961489563864595114021038396493948737509961834597970082333363307240552360825353621667611475398838555648051880764969877242745846748323368046181796138945109577347766770486467907488311479160541134825644458050529861881849450606491072216806962900508393565311311199473303143300920472359879501823428714525238727866239611085121034754976644030801698431661933718522790351407109010605435107929454943165762473262549030631969814652109160137005360182030664138163743345392103419337621336245003588356546607705669744026552853945025814480461130781465056594643510086773502691657623628761974047652348396525706181631974070073115839273936347271618426688904798103066430122513501557298354374674546614280151907247597017970056893891470373235634134629063768317892755798859530519842673584979742535640709061394727077627698772529016408123518372295394978160943506634945105240967655742507642054811017277028893958450599861633125203937344250921523281326453572423323361096758036579733807454856791971258648942840434303321444767242956624286779818944045551370821817011952039434091807779492354526106962525871032648749141567702117401169008173640222594203304463234309028828794754790240069548877125464766580784324013627319290724146174049301384657028730769491012006509851417020609928077050522190821517680924551847940586443300736917449060472175280037
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 3,154-digit prime (314 intermediate primes).

Certified number3,154-digit prime
Certificatedownload
Certificate chainshow step 34 of 314

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130191719 --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":1100000009130191719},"decimal":true,"detail":2}}'