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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 #1100000004853461726 2,813 digits created 2023-10-24

Value

43668068640577963843643628043507287906241479864465375988442119713920745213454693284419716407493779167560325155350340219532906132143551013715297685550616183592685952360799522547167361485721413236239433077439768204678447373029051977585299294685718472167021348278300388656928524313248056627354566429113895526733942275681373306185197965065006517022909875404054625352371387382291867332372694997183374468014125499555353108361754624965077819671822579180572763281877910984106957020436840204904608096309315390621475999445921025796316891604649118750291368155482196185624730574365188400391415933989556680687021806384128338396962699534200417400217084960084569608203456374047499333154840739375465118259332506437899073887727299338097985459042570008468442794632629111427813413325391986941291331340431116225564644697029994609196989973264043569626124580037701123322465478751816260015564753226968403005748870210530039255077789945793426969171391490608196312578474864413210616158557683358943179549884800194306052134825049497549101669699653058439432670676586551956866807983497978876311501928079804960781017812811131108238807684651381576715258719983351867935188252376844303168994819608924446617420805660772939915216770239634312329893109986650230369303138039935133743830680086948934940583938796013402800997565523587591865981951740251263867181958896200908935114576214588108253391616998587462577021246559120963354710507026372531449915707502993470717063148857605147079504776702712302279287888452502202614330662936853703783027808260701943145175117733498816827856056815916761398544323162853714837369880718312802080486533818208559373430351843283147846773484101930801969743728582800058374534237053601893582941303440886523298733372201634322087165179987525349436867784525540594817203427767799791125221702008389572073672664744309525456956980977671817099600140211547460595271450452906299854914567831258430150681844282914062379854700097242323308514475651671579765303853147873985798628883825899176777051619551437028323508468087879781226501503873077221302422974362266879566692737966654574060443341566823884842863927638519997119203867422123135251312292917627222902127621204152376197361508162336792309870043376640528430218237132646794357661481770579335440489423103674361384726934758134179981368166390475860240325952814974027042324464701927935535081817098238513410390757640764139133656730378503391589569663857843935691965727704689411436791485033185451907709507224360829367390274242140571208291893453685283930984224738036799489803176317749854651943240326417188274177866243556627180042556588377133751448330335662591655475131171916658823988360050880284253647302517416572644552859240907449641651413535854695945857927697340369013331213865035900110416258259020377022495891008026838569127702717625033531130356913222290374558336963041524179751566830456873839773
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 26 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853461726 --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":1100000004853461726},"decimal":true,"detail":2}}'