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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 #1100000004843911609 3,071 digits created 2023-10-24

Value

31814935032235172611429655166666110211058036731019745809216964938045234381460017270270330895688311043358442281211837151562239203817438180137546843456717198213297766457300367803769909400355343667736939770246990591906054084592265499232804804404494348982623162560170575526558426247994709804359309156585580811712077432353080996274600954541409022908674619524962316529525892267456009383944970036913172184246667507935485454718127454288712573962390823220507130852660875345718538537193581890186169223776697573281111216139444418423729001843311304679547991204382902122436721554831217050385904956173826478887326476710719859807606581530703781715313948115718535969826245986913650970260235039069011566132070330335997587539890339576192445748027854829081246723660412844700285285437334504909592739746364205241190154364835296348625114554535855951068489276423195849122654809244305064876536703734227934223370440314421222103643516998809728870647926598132665782273133335381304262501625958221007113424884861208709082226660632999231192926873806390502186344236786285719858956069637461916467232580629453078074130941059902515907888784447887969392866524450497528387151106581455911743170585776417562184230104702533039424231919960666304529569398374607531297201814600577423870355584558293169904899498944225206564644065116922521680957530205037503446300755644421126865859388821198239409749986834287384544447577349057245401546024488252465796172656699809264683451286310587532431794758116171699445458380923453626450714483765730599783250400563800198865409973878334629157601321629785510614378179653617349404111797685635933281115487390689538261677856574907349150006997144017231545816210274218186484988316041334598308876927799013455929582445891686783424973739653648539985123931575630044469232493288485532217035548006809311854187433355173620192319227609323919735694311181433674455594441831069307118679256907758221048121451485234261175561421322573339384053756035955038382029779022723768849543120685592798236520327544424939646070717682514912668264339409343300471239904657209949799577465585213413748809809644583346863983650304067695384986076099940846876596303463300092952783371639289589659409443963200395439581742308431809362647552528351015717662018303456334929452859563533004224807499682639377968738212872694510890506282047821623364626484084107763355761705018431942389529629428106502643295451738794789416041099262514471447641869748208313140181088304200759777104614819905610554274088101038622457940483153904760885979171594240558498565389223269464976639459831901531626221673096477097634769981068275691138814579926056753896032927372119933975440410048299169392859902054212809723956519743470137215277102532409201171814399394585707389406750605557673770669780428805200319551511955199047038752048695402544803561736295871230982348412103264103463122270225307761373089991228995084438306390789199132167089275703318470325867331121455726242590979595999363912651024509861375354541297742683318676515906448625654591369334644558674119137079066017272275411712668653552173492358886072049602477007511017117361298245597500662636684688727
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 3,351-digit prime (364 intermediate primes).

Certified number3,351-digit prime
Certificatedownload
Certificate chainshow step 29 of 364

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004843911609 --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":1100000004843911609},"decimal":true,"detail":2}}'