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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 #1100000009054058154 2,177 digits created 2026-08-07

Value

67652212018878596477910460526952473590481075690405710239686320472126563905674103603435243157839312416224487957661300784840729466059097919847509147130002593503181340643082090090513572646003004713677917042506469103212157735757007568363867401269084846487513512950395324777296621478320441279840952431531150178758880469835831735682424178822689285408250248996618178889805899542594860237369270482775187279056819001114968671454287759855213389982583588197601736325365464244805765803434037109730554815438907700523912136447285085081142584597059919295621278278847309108651948371450479807128294962154634747175570628461762213906307354405273108756691665100254688114153977501501832728222290453460743070392849904310012774400789802627335921576225210170415686127834618950391721574644803264631103634175238992873989503497911281377700951434196499586682158315709178500082090967472664405308637466334474834106559324192537971552929296840604737716149382651409720600449156795005860518004027679327380332365441072817997262781701356807171760210858457291546768765566859827400349984687654081596052030225748852408623982215317106198437127478457381015546683907603981786696488649588026721684644738047937247569734347350922452591907966221100517318811047373082592415210387189040728689207508013723531871499326367281808370842824612318166403004736852215662619120205583205279561165293859203249503213859406590887738140624312769733594391158280805828320371721917888330899646832302582166677378685658975673771933787004901542466905522456195778277709260551581222196850143690641884824160175752356320092621489522096802038978125152337818995728824247388245064901117156230607703931630649838993141719216100915604426375700510402506725341216775501597468586617578554548506020956900403342824596699372528079776160708109072005499620118560481039968326906292442146816470433125216740417784238761316550437929897020255441366107259426560222460020255442359734070801133317534025503631425335723960518387393242647664526914335549127890126846027818648060997338494501958520292563853689817601049427741278706154919672756228727973590298284664655059539436668256018277100359048542268374717492370637459856051255576070578747064838987100040431319471272630067209
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,411-digit prime (182 intermediate primes).

Certified number2,411-digit prime
Certificatedownload
Certificate chainshow step 17 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054058154 --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":1100000009054058154},"decimal":true,"detail":2}}'