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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 #1100000009051980086 2,711 digits created 2026-08-07

Value

10654166341886565419231042834199091908488395643263662405211472226940922538322991488256633944335349311156844732165011294319031198239864160632867040492473160272729693772417458861288261180029662479894723825839668978512008251612476708366050695648002306252419350664024962228826013260407040762956149848547828195555069297637297797714785938810070540027413104231671368486265526934851105372472289841147964687596063500133573441368806031286424876604630042977153814778626802100082035336716828387963275361211392007957722317915438412446652177067064454570845980177559301302798211798375932014080192860873333124053881489979577627715640341854007194916928660694258249317932995648330535354764488722822548667224378128640112640352713418369601661899359848518224811919250857041779919333114112521877861225644005714555024895962417593638722150223977945350589618791405681706746398676494547733518578128794465507686569556467269574255836341288124903263955356771164529252257717898390155646182422188068283720318701713946397988914913979194468809896908820234443657477944064398802189263679420874799551621768801561648026898603130399159823797629782261127254183874717465563646368191518791140131194509411848767920809948847141399232040963402942727218054260273869592024642543674917758602676744353572292935299035241123878370901980784518435618104672480399224135032985079798220360891133756128447467978672219643361070429053605767792119270929672840449275770841248717856284797655042446032958421193732544336086724382988789201221507127484296625551690483824501016754178527090340454230171656146170261925408128934098210304256782903714994453956935847976313015621067629476785605878032532016074871445307341338051010194655845037049242531495475571143847704972443287319633499502969092273467441848183637725383781309047979813001679865692624081345571663041165900633631948704239060358462017855333083299780282950964683127041866830266208508878736188873091918687085120502640813574383421869664928189359118009064918774229168655559184775977495324104845719223015006567562685777973352329574110151171080707134488131848330930756430976991004026584883697373819878488675881194625502954114913604903277119970983116806252207251401087063140456439141094570286341133505847501971475260843199132577627423394710888231180646275019163044607402462737162016546687317298809741907503692454936724577944415771881470276515930878570610803404099727442325481935449239683948551188558953840702836588394029446204582165363864097087180649063655507739323831398259674434932667801688400641531520375633590130494635254652381798893816722863557004004077327126861808549233905168511963291647046571349370842549008780786811621579824105430101086485589849248159764712873896729811134506398267303315130865530531188173417036963621
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,834-digit prime (208 intermediate primes).

Certified number2,834-digit prime
Certificatedownload
Certificate chainshow step 10 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051980086 --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":1100000009051980086},"decimal":true,"detail":2}}'