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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 #1100000004813478763 5,332 digits created 2023-10-24

Value

10207816434879879626114555727616577999945500085644485563351229473050658707098729740662331469703917618213033727305782541243469426408709540617431467665493456808675392518641209505605718270040437401582291141372838048129583715000325962760830812544059231176982380021883733834955974167532330870323488259274664870059878721179200611842865685033291503516848851157738919471143374759668413241146512600332505440530296473775750856027197066046944118107659503093428879974759155952535491597103299960775619295939213308936828846092896043518708659437992646141345368685594222214540781119729546368917048824283964909038080989373011928360886319684990500794096445246549756515170487129326476918272326357801948836838159428346565703525589717199399267691780825606164476492789714999800164079629326729167753303424613765834278151587213830143652705886051547721000389919572985792002198941671957173454430874712813373254736901130577239649225606031602167753396701130918571166450584117351530303388351674544948243339294473773902182057694899561294299702973551760535884563963879451420625753875834033001642017893089628283024703757234430145669824512732894060798992028254275587080419906370703045484253321272369129896837143781926777644740361579553229937713289531099475142600582769659845533870518005680410255680851478232218874643728684921413106214672687167967278030753061187408988717300054688521945841974527610593783371811438243498782666014943471857249540020245131819235567676383152512148580750257584769709582441697711052349377245406179768181337510280588764545506511777108400916614068997616680179354195748876104115166575934628456956511266499914569427393917173348510275929783369814165249799593466735144633025361568436155003364331913033189008671059091128380207967986892100142779373729679375485264461008849405621425600287061713802402815674134622344372169620500760594732920852987100462468605101599546024400113811672124080362468436453389690820976853882915462082748641888910303341790265464157379617587041471619178811520416969644990398792846774369287314383859310196910388925279765881581305234155181004035760685404688617398715426184563687553021444014336745058070209236389722318343871344264136067742947525161181193169977188589196650082289280729690641926946202428692570935336828015510756341755950369631847010673655751455449611407367364536743791926425493723037663696639599367275629009493389740890700746572010309867369146135614449028086224632756907206430777696346471625480898004870905924192137752929763225131669419681456879352748483126147244378892603787644882014746054210238421775135092913999268585407732007846295903367370111254203179888895681553548517992727737621045600804775037356091660775393498440465284942922526987505726980613210742778507873164488753095236416716013590572734748087492398244535361029116330865090428925250694989012321216573420134165259063277566696528376281926614029195975195694726305056210364660836758525039159244193469606249264875735161698368255766307963035698227453122846334240198345583942981913554287032371264188458962349619102992934508127228675017648224415237076764101324836234743322326077145724071328841295727383165157649452616066203741103889259289024710362301628952229387939341169057328145396994639384754303722263133495671806686656803633466358699746290378894058075696740818370094886649299309012208382318899852436082555141880890871810785620520972733500004305718653037574310979155206411027085162580035946340984639919402511433072199493731761442465684253496857888948855336620599346008526760466804100768611680943045649371287425153401982016249420962562252060957950138879654225104661253137715354615980508185558617398919154127040620253127902504280917430439198627236429207054573708644174746400768887988441058551659046695643070241047507099169221777613182090883530694619652289069023498502672826897823807284678088027043091214251278685997742200359142366715318979299473466255137287222075676749913174246987935862442904273640910760384621388126235993257642294612858397142961205801772791496224410269375402523975055400978505227398369071629346561554855648386035899615550808785271200980322728187677445042698467687427189545739416535527607636858165536608103699459260719523584334452985373028281589543524708724704844492364758657017456523119030206413889513507250435978426451640946083383707662617621580396659780496253875019879540157274895708829477796740735212259869002516277668424033357736522582964652088507680046423515156350011714301478262968235970079927772012646423008990522238896296209055414344376346399974989417487671580368577953704738328022830361693469133717014469813496094458744562226860273580616143865542980823406072468631968308212583070050735199165312054332003709749388916727010877246438509883777756384699879667331180408550142414435855251414231268839732070358343009741048810568114864422723954453281617753453936091351078568790879405193894479566954918278260158952248365721639876964269764607405098541682392819709405676684462369743327060547435181286426121249108411180106491233850179784250981965696824989466372714070728238152868354628863208091370224233481872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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 6,322-digit prime (637 intermediate primes).

Certified number6,322-digit prime
Certificatedownload
Certificate chainshow step 86 of 637

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813478763 --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":1100000004813478763},"decimal":true,"detail":2}}'