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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 #1100000008680840313 1,594 digits created 2026-03-12

Value

2357978026038819507187224148381966924942310560881098858545937091928909993047148099118810581900269388309308236776100797321742871243007096841016983437792913806068773870097969731712607093961162935984595287256129764818805344034199531172676300813232211540820012075955616025135985813731407150958291127825528702532796755097087266392414118198878702581007187770278231365789250993993756949764429067212186559794527284435926354224906687849291505289395927539727702221038954193741815243965623650018401435566966868399492142226433891316209428155581042250519783643838144636182909586892108551252825068589004622556543021751774866894080673142341321893031547392711057866723415124623350445456622533506887173785580438782760721397858667961851171983378282414971989860045119807604525052674739253137572931148138101571872529519381144453046759347942915723341134382169262985145575113038412525763727578681766322207230669441748335744397608311988754420269016901405082367928589125577183532021782031452189530959301686694696758287493814116149031056449271155200301922765501496117156590761781383772087368589102897682568480429625253676597341717858934522250328411869148772334548123681486786357772613295189549848038026972629243045608041482801275058132318937134414559472093978895617508335108090732833126430662989740096371787238032138534807170995747610846024796881785121322718495043524230944208699434078744135669695111134114388533591025884653832860107299317720970454634134717739446159615916107625612947960087130037310223676394896514111633023589317454340361187541954290192612836505832165833328145978347869933455329283347108358916355054379
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,589-digit prime (161 intermediate primes).

Certified number2,589-digit prime
Certificatedownload
Certificate chainshow step 62 of 161

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680840313 --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":1100000008680840313},"decimal":true,"detail":2}}'