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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 #1100000009054929613 1,610 digits created 2026-08-08

Value

18721976519856769561601738462733743626446237033035638530916670469862468991250619968436069847052175103312594379730547258876048051951073887672547093740285191357842150488331334366872693338541841874448021346472924286384332794198910936343568178958941532335916459931494127604538186309054141358378283850528531343333878804802443476993136209514687700090508297336467529260930127684935845880168054229673794002804188222773714255499175710097794803893046072978858033593739479208756623285327926226234426327758443906355634779238420858984598875606876513410259481062610260506235964301262710427498864823854538885725693413824902965133741239062382978713424635532265180293985769358507276126746155452051904121324668937142829515836543567864656245949282586701101375730748487634630954371934874410844473096167579146829347893040189268857760620994840110698127077732627295081198269675682379977002236120504531380643759775463254911778516783409674831571701434979762030205429048918442806336152219741819074312403999373801397820942829560142860977822621769950214681872859870663192798451350755041773738939946980102716207009473298971606045277008712081162331433946810604131466280114419629432449153786200874333048939067875794768230731608156841383420874380373757330391185255112579815949239828917470548346498893543061339932684383555275253359310974640598655534597514656504718914808276229747060939422998642663581833699819510398379331299769534375296409847491684607977261404693364614719907694241126351765199395263398301053240053099648216548683430518443292179583513014227495790662008167911026404823207557124732976958222126852334416666178746232946620095318807
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 2,523-digit prime (194 intermediate primes).

Certified number2,523-digit prime
Certificatedownload
Certificate chainshow step 75 of 194

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054929613 --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":1100000009054929613},"decimal":true,"detail":2}}'