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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 #1100000004855238909 2,980 digits created 2023-10-24

Value

2135190127304289207478360815479245613980108601610516920135755109593719179916074183974155504143725973936326267278210794221824426505583886731783700798682532958011722925535909712748793118334584776823903371494254272825844365320871777107901504141969896966899589640583501597634856254755142961962569787439030082625432603898247741233364599905822246283297520626750399040270764556226101358396624110963273272201531285555017181818385436991963939962885649561354259101518672242970061681014460716886557403967570003699619567494822291860752536841720985848670867606041512917728561556165819966205808705759638047578525980590168503856170329595566094154862787071004789598480156456669949445323861739373313716338802799662681093435718945102277247074017967215882566285026724607170097092871127249733038599862846764770701915221541597743048943011807887243178463747104758635845426327146456395326883244798866189323598006011421090017108317586912942824117979011973159793278778309637114309953855630687288809539169010546611962657141827124231396978388141516846133590896555688770137631784611820639624299256585728524896083767573364769233214185036566778776062476899640679193340640203645042973615509871822027561513045034213914972570446786839658915002242725799754465587730016531831955688329513702999334088259336356665024456572379173487286052021006687775990656814627406131101170171541154167657690675865410836592355479177980296292469641723660470420035999176770169099716255899457494026557800087869185839727920100383185625808593204853107381443085852157841774294164218772499031165934621719037008114366630119109214660812954838904445004882321502794932985948685571692024142392195996997958044455430903494854091019111927967139641889564469672700924331038718068548708426979061193504446747747242880213565278083006857496513198678012417576052709602682360858889243105016783212221796395216583451706188190099693047399350994906646333257712816719955566387973135753288396698430843660530975091914033196240906341732566397683483897907702103881834158298648233461073195828391358191153229623107375786510564422166756722244471683018973652525415647201088841758923978418424364168739669728422060489650851518520349385569214690894425544400959043572020144428442641796491905862992314579719381094136466969883774490735611629791720299812499774561575250113174770700047875880786913811827264432186062914589369131212089784794250251889385117203991108828066351970797178880918680763927018968118908213875514022677873292797665114669370184386004258317531036285571759618822521379358702305258551190192522217411055957373686813982678054476920575512213750523776821881603668322160145407795819113865455106216501158067519252012915592897839906748868922062499443687398292053255958330217472680178715919417690538715212278917400794700261514531836885089733574526196777927725693667371350473588589752674728115861377799479601091006306792212147767895834980481994689388430822524987490083986565811316477405678784923098523025894581064000930934135019969771701057337860153204537066028619189629
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 3,052-digit prime (334 intermediate primes).

Certified number3,052-digit prime
Certificatedownload
Certificate chainshow step 9 of 334

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004855238909 --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":1100000004855238909},"decimal":true,"detail":2}}'