factordbrpc · fdb
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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 #1100000004814085638 4,911 digits created 2023-10-24

Value

620291434829134200673916622987220856333137715172941771364168868591575071263921205099931533062651823356367535478144166456122754025968045984258925870364395951528994674652313364403720449862880671547091465194790553706023305068871421561850448025864998938021858265986284432584825093380743166136860247867265733968777989893336593313920520359214499986452662712419517279606867069498995052787206506962212366900869306885910424198151886761358093634227866801876394231678700396422899762409752507898952763776299502509890878087503211003157365112710287052474658502943554514664398786059755927437063330536115165247717690607067881838255101461239567317681266691161704307331442678319940233164047959863965155235881993206060949685420334283610559787459366872655972397267626683844707150608034573255255590075827404327721182929963411552924196587561719579828059466963328612608939181626192644163441550828388480286648544117172518648066078136581157937291202578233676596759656373696523980280834638494487366586018528823447134243061322072978978250531375392000901087570353688696560195805719906163266449136348668849998030279018988106120214712844786570180259512269992882160058844768331306445668726953805904146359073167506547632647492579061545455855273144560367980002098949637033530963299151906288240906202533760812159385422533897322407582206736212849140579118845229568143630650160097405789770790150454586376182065458620216345548411328432743343784947388630595008262622621443939687198013605503583704350714754497630075110126996774603745037307782780582089452256845345601256377899029808650985301785676877801312266673142624728663210364480096401679457512096309373177093024564327923362733957400546524633013936023858415189460465135359471067504738424693115071915961729717604593054837470528260510315586611828604579866017838485015910009088831046985594470361830531130944815923060054777916830671084982740071017894503254532335638669606136730564795468424252533969715245476835475508866594262433734137275294408323754363648144743406884822648404485635509993697491971763210608122014216056085939295298271772710705343487530687044138522773413375191239100789973460559284624067892285356712754154037560415131695085224122510372822555558021326601505349666332977513987378103101325909105597779280934818695937922302258657371925971368168763640084693291990096847704116850532351036672592228349668869908413560595990701444968664493719234462658696267543477514457074518304016068639735076715592455711208400625733282431399623415354278924122189839762280953912414333276546621929043520189481132497077208258538356253322419537077537877300846595776796457755047150626595307333744087259969423850400034001078519446368523312175711716137148301084872653979054319661953175397134139204306258684978479461112289535707892952539732817057643578910381330152631578499798771619005813991643777504373656417610775811545181742519352284218247406777997852700668581611165684756397149450224461953518846204662489738100591697095695883774413652677776210911938641367646615559181873333003640658324613589381582383186906624530703948339669380224536333237297491440549203449557309987984189874023546821828163719032730915032138205865465297614472164182365954944409952011971041306943603873804696522855198935790982885925324272637395024686859237284971445615615965070077479514784428856516013338772147596402474104856832229828732198609664778140098365726015133271516753155584634775106098770537006336952702403205137427858312684618606028165629662520586819122735916010041808267364081107427688766916923731961804218784746292100767845640189488116622824928036752598530713239812033247675653766714214107599571296273452735938375428644939437068837100441785022504221480204235701735377372545490673588636753263134570629092053648260724870869966259587496779542532775928841673897960432625979890448173530165028760217090496893841794989027030238588160977960257910284252606246546710024337172540123476409615487874374297436496472847857877016323728545048288376791978015965989538793063211367521193313387766126050501634353807261005218316314032125477477710650604889410946235257346116380286355226184295926680178398914099446868417335259550259737932681000679830436383338046931914638840547205786386146701438006707253653361601679689485290718901287974854608809043941009581908009554985695687030542321732189540366117609657611255531937896895964476542208648110837816145329635361165035039633176528783704094764132860302325761159190081367757040444016169739259192554652113815184769076270747331038732196762486584168842892764766303707940610205011476733988959597982196160535295917526635262231940160628598114727791867360592920627178572109383540674786248232857912496600381319181454123845328160169273708906246588299555121721808522840213786936957418873559138207595704786153197896970921119512141881551185768352279019927084465280675559433201314588392897742562982728187556456084089750571290598922555642746177995139390449041697366944824659714746402069692382344860862077824653120483349625848177
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 85 of the certificate chain of a 5,928-digit prime (595 intermediate primes).

Certified number5,928-digit prime
Certificatedownload
Certificate chainshow step 85 of 595

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814085638 --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":1100000004814085638},"decimal":true,"detail":2}}'