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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 #1100000007222400841 2,302 digits created 2024-07-08

Value

5828395216778359619031002727794532505082136304730993872058491560859502468836812595184314297877295953277245316013252743594675967600205439950197535358270599365129203427644053757894996872202228563366907411662827144332707268368480579802950461786616499838800966662902236561234744231335398589598874205748384384511308235453955678202957451481205091091247670558436125932198681403933336148666600083477595780727920368291534786220195163244094338752039857710976313491165744325457655878799954977738685193295385231335705914598117382988465408039656487711851054425655928652472995553954087802653830978037401604930404444880087008860731988814660741299990142805794558303835669026718527709703172329267489027442336574561172007562206162446044109669155441841655299190127545472622455756689629193343715893250345426021459531872234315468700325201088548553238984532230508720411399682177087339220536047527907400663514806965698990487260612219404198102566258733214539908702894918854926541642422570120913154252139512132250142711071152283171146941359839644237732144913470649647815104706622823702551258027344716927458355089776595505678627829291967286715288243950466617080165437269782817864713084466951326806418531411607398448376361481221353286337810760628178255554347638778959933543851341522566594513438045878935785944294727547670671661018631682189939807335889106524508641527414726410682478430956136182247509465392198912192610019311517602370076431480728478930001122858930960767022236211734013724849774792374915408915028527479013476135757009995204914546965338190863521414555738187873409810976174524355953320426083125364573102640471297498497311703696288672913608371346464049451144388110315095750999302168862508305966179701162880272290228332123021806542627169841439144298437210854103542130535210003904027438178800823541971196599621850733966236760791063908530826479102795264104748756100108667154263270343686499044237930018840168269802384977399419964405829825463843384405380124757615486064756384249393003683576691188091267535720294626357085305525903951559564564794596048502637190642461025969954947887203501373072859580882938847667915216003801697907302363629523018700289851203871133809515040957594964433263435568654871374835403729672953345259554586202397775591813399021907172189410667257502908102202536530672400720058512077266906755914956420621
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 25 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400841 --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":1100000007222400841},"decimal":true,"detail":2}}'