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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 #1100000004825278475 4,255 digits created 2023-10-24

Value

8005393514626489029749815397936650079056531345849759919736158917494402500328499553449312333440561605130471041856183158307385839260807071275561287636598676837760886043556716568085470185323498714403618313755573067826270179572919578313243008366535666563227735890479814798473698325502696586310723641019735214755261627844304577074789945855366319091346040049028097983943336659456540729374397343757811265533455342760435697653941036935734998287437924238902524921654049963817406504102954314302229530643785676486508543451110608057527516508870237428899638053177187613279510724020764570674669858343579525386977499140829657692625698490386505194412353348719142874219531993346352127244057462151834934743401973946219999000759698392918048484853981957738878602156278560807151760363567269153686574419066299884692288044479197972780250068689796247591835440556995212528527361326652083768098803722710832940997313415214204045023180991245537495817269622873735036356529025833339019201074655729539842386620835596849227082356298894231678101024717085403892153561081376929499962668611593990493470394676124639177225010696928532420650510229463692248817290274117241640178327721878866414162131318965491386776645686308176536515127732454384884945750164081275206824880342935076461880471360779678011559229942585296449611785391527522848991878020705703404413701184308273113561293775829084263863740674827136660402005717450114845452828355412365593648610095400250671374826096269600744158848473014638363091745389322877990707959219366288755553783983165210196191876793853780098157270629918381345268280155660905667059372278785062609873426990334802897426224076067702445296231541095413837489539573353775796889486860768737919063946454924547491414108232699407773431770902861051282929657873750438126052706257963520588509080381766219813287554833995621563241410400279472046041516802139300518278686286791726795947934714712547174309031537019862419315645458598543238169922097727730795559396943648243381447165295349545716405182182140019518038936062757890770810832052363195147445778383810647007767012503683163481089682343722267046066728038708515082238462108605366602826891915786510259335541464508224005072521518614002233241708367886552307596928391824188963111346671217559066330768306194637567415040962693375020108641193718315660030276203482457217358408723638931633019584635307131142213676476297738127592741665968504758025954367758205089597707781469274041517467015157485769378157206688859439214284655296179955001104010111948625933536470888126302420620205858468238864258998254454036220005521005652776467114088666326183229532797840755639058767598818345914114084432115771857549609519402799128337924165117152701025831083157214743152317620881154759707870135490723468538902924164865558225830036694987340684120358808670455603937930243832365112108752811973789527070238183184269768710389325248518279070645579024163985710515556440768398317371649604309152453651982978336151130546718229602137344809756009679433084765469202443827501893393596955349645465940337032902824913159787375689287259362474090429988566569211235384251907618409511476949974863526927669284120904217839551536018934892578406821895681530856278492670024833440665444970762134188754077365056500782236869900759444493086331050051895311261136313518113000270752550554741813818009673758093201267378369973369127148907038176416174338701102294453075886764845526612083505279748955259105099057916103844888722320132677728378178834080412898423463378868991931772478500067603632185707903031959030893314943117963772935911390606507261154448898192853223172719284824582155975739010984800727470413926499723909611449963076858259710741865850745278642303584616122149604831475811321535079136877018758230224512326992496313829639049156141811663036741556231810923333465075251199789844794259385393669612524008547019559003456510283671022239499951094187316878924597714015418941629209697367611907182474978871087583174487683647643518488384938057401188671307546914947859634490448712179741349878652734819571869315150920548755248058488319438701208155560802063225369179635669913410789164194431549724863492117515259525180265940059785087644117707677748046286916319199191516046788254904999564735651985375416970797926132201128666469713308053314150945229032493833272547559195773758395812374847351759838661
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 4,342-digit prime (519 intermediate primes).

Certified number4,342-digit prime
Certificatedownload
Certificate chainshow step 11 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825278475 --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":1100000004825278475},"decimal":true,"detail":2}}'