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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 #1100000010589176853 2,648 digits created 2026-10-06

Value

31360796844697995490563602014711742339780998429499655386340440873496803840660789264546863168351746723350606552852897312903252083577618057758187434099090767533827539047415701574934750511328969340802134491080978194452519421108910749213476718819756977511091229636590181922099924536234394931855006181484525312800020720513168760646414828033999631993904482633317843657341411539172456942189890138684044412388874258008901010249959603208545191035241310697298600623556039555960383506968894168267835621271723706017232619605551812728666788267959153468945622714481752199461038886182863143800657120238904115164634964784774665965210651086914960403058553232363466286721501410514027695866534702202060949016755693928621056823861040940894220702657990159330732016801533904490064359451856505572534304798761167140787520132024870303166983889061753034333269519658703608288047338885341926296595574608753348457147013106559190921331175806616591723128957562394330707158263384127829176009167515038730392735931146280547114060122895106892955065264520567718120848073651117363167593508576721440177035189405965478846368674396195237097832918222086063343223676435024913293085150534942614202369255425249300180250318636718515157611660451739916832222065864089414949155252257462311719902092883281101536476619377366319897485355508264227731548348243982476459966017848698491862063824888399813027872671280330015130022544565132951932145903637505429458344720868639409988611192852857454001918523160811399060719396249627865041483675537203395891051714380146857531715941752695509810080461186321256840014786622018523668561124384374735481711112285391038140317806593785536978701777560941077893441607326846981838028445839935160684250559681270491565414871506746088768505267279506668149234128219111714291906133677096834490592348405120857747582780649023157926255783742686520650556564736687369283023037553918466332372913272611605451522697037280649119069725961109894898021868793026270155436086267968584162844811875351781701713452418317151534111167575636792996096026625666100538621846017273287210457868004552165695104386496825202885943809098050664710825881909055421219739077847431157392487590078271980142609388324486370808542747883977984573136844352131346675345225694382021246426936793265499610148786813591255455247565676179098156183958469873313689986370386497317850506160992013502208218624585490934985553677140808665117075620178453300244537492981781903263309234300607100223899577572074342452101543131323337828219225301752298334609415304120618872932746949074154546287540962967199233898823665559188355171837121264360736065303892724961816502497799122793100842524650145332551816648105048288999063795231585337091
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 3,195-digit prime (326 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 50 of 326

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010589176853 --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":1100000010589176853},"decimal":true,"detail":2}}'