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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 #1100000008815873202 3,994 digits created 2026-05-20

Value

6317334381989795788890078909824814006691107735433510825007837293731104771288923154478294571782117984860583051355597495644857650003549790555262037254132502389376299238716375124889514326784070606055267956009666754692578738766658697719334413842872466150836526626359941593100453696995391804298843390789502505165506754748866158827260804998308476809260859106991181302259402623706059818415181922245996529477585383361063290428544942200012442564386945497162807901299377859611264754120633606992230370898459790536971086570265556707801949202009329063047564017243046560861199377043561421099532082950375221424003167712839070798279417948756091756296506092726447300686918515865899082196192492801377658407749074146298874373450320153313338052278546041188577612648977677790650709498147084261722688336584752341284893995050965322179848039021663784185583368204034819629137132765127503480229385333040038925855537355738661066635087670125325227639424505129085088549751127858785432275602463728285165460347739705560086692175685085919870859487181853559433675015805927225353920956851633782130653255760345655309664568859106753531174571208825588194546952802790176603197397357590294825307459740928410413300356659709442964711144113626631341448328047897980002174936830139854283334342215126027355826133671385159761404412567412985037083101915439806358872746820914013953461676966037205353478804330290855433136189038766782809111964701824510599144146349552379433886729324961929206447873080910288202033059339236071117447334402329281005443513318319959763880581296752454753499717550061614974189126067182254793132244144635124947991726424900335451560565321031742933441842059402790002915363469443637864832555423955945813937150397895352428383966041106322536567916390197483246245099093590126492826447580706970503409253343274156320269756880387877773121016933407861456949235111761235176623020668559807510956429875729973609878764978073519710889246220404347127861849667424265170393710535013940598631517226130362899601945700986104124863482505926983906907683854218681135516629834046868019486989504389890610686464577079362088478869011518198465552018236350718134946119686874411957603712535056547321618367620381897583398956975702081169192408585801778170186715767638217427141625865961516794066095010962352068830873522055441232581582511457650103643419835102609765415373116505910101318725957996496437253049897420591255650939325578200091498519822324850105480129314649851861780059336281359266164690258892776412440864282112800892790593199655828294277140928429824800256478429548668754364273881637886953619961801027653237369115733392459869456694453284485650218973409154009712451876525581963711729993689050603340546396829621837669536813338271456806731782130185594578600797325876339714970784134180345995032773077365222883129406123648218484429338656621501408412560919060909323238831751917217255833694158616186403911318390744151117805883421262432984077228119618947877519355926228057958084659483532434538383246786699839919592955386457297682143918062394120882194212014940293575830932207587635126100837442946868282507289422977896164268255363320021627794656750203510743150830979107003697557351683385568506048467766059364795389535558690331650543605944828951007571139525836513777557247751341424181456809442522488950069790875961874730372891898180056584277194797775032451255789073308598758637331011360340120962009360513632907130332852338186709589106246287801453454776542548235384188494082237587956997615302626064713018020585533904656432069921724626068558518099099312164510416664065737519705034872329124488593514944941037820212001382916538777710945200708173465437422780565250261122521756057005631282256119610873568244027736837127864597428435637370246711568185415801354560723439895609676376818210701798682142817728730211341685562303674285019831094002310337618991612151922198225302046519647556869992691818820068119684462933858028386532800461935384956337636424969802106606634492692668130019305762388528778613889058238178482447066297876552657105897340824913248508967523007393
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 5,209-digit prime (325 intermediate primes).

Certified number5,209-digit prime
Certificatedownload
Certificate chainshow step 81 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008815873202 --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":1100000008815873202},"decimal":true,"detail":2}}'