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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 #1100000004814931058 4,614 digits created 2023-10-24

Value

480634830015845007804930660594833310761917006126603122144889835501903960065995135649351541447918855369912737880070111730500350994860777361872355668549917921477366979222248108594274940004445052539302153685036915585806628326185613350056869653618813018506736430660646035692524034802616385543144258477146940419234095371416113288545430137188752668586307466861760711801427366609247180642201877042920614259235144961563048121345101256195287670426102969812486977224096870595288677319145692224788179713347783075979424072505840876074685898659012942027920389409947013881353837488623920408608240465420604758750239236363988763474376934484375405532460870573441661472444545558716084906250038179448826733961807214772681700560937260827721997645985650959860047800146420611758442360200631074971030123328502148834616748522998669293025575175657667589802539953757099788453140352022610173575656507349520196107264713406602697075310893942840311950241362090653987775836110672330211818381957759965442915935408315688019345986868696895991785965943021374310809318869659300762167460980932174660869526579706495786751571923482670472707076825461417590151809580489968678068254256046929192137694150414961342927543037700393264575348904313575163726381419844139864740480251832030409455815188212439257717525479725480750060543448841782896235650616848727826837163837263284793193333900870115616945723198012743918491378605434947043973938555386326978217593887248482318114223326593567089727496955541162194695049375586126725407414658062324739958391813643187856859680223763368510705569355597165697620439141903526238271371133788461322108657188354851430608486110090664523292212347663403792566509133762117585819325481926333807924179531612260219151399337628025529961502786110243676955077380635095727351870393391065242707553253640559602354031157622722934381614579288526089471372310316372957970278628404992307745780391384294141690281083514460795194743504373500141852511204020912116938290199546220316939013090155123726110880399376597236303447070511351923885140448168592796071606354298043880396772693096557083261633646535060282207461154517369869209354522703076835530972676368089707761797923294761774629836321810223536025235308705477293563103635911111598719483980624434740379791685525729234146589395571863064952230506209668076512738583274834622245979959438395084617635838395251705289775320157504718744575478804979166170773499819291754885969326620800434719941735136477867723676095282946561249709741949790542274332195199143380612228510964475001524024472271487149899173194355092617138686145794903241885128770982432129148113864160227325307180001639296907831325201061942976150974866976469124322445472457288138477332335311456943597454420066889541846620177762154513645528612729472250894818529994695000646187056073004745920538014506965942790474601996266623306960902410352143471339761326326331796346185493421406402038589422141565129064398026247205042585415519641992668290615337699238351045657416248795979953993015961294066494518848880392160157826979363197766621245603732605808222218343109914412797197033810392581232583253352657158465236216323658201057988593523953673754757884948141034960333534093568621762422090581755159411813097002735980258230292466556749914057870776828407692575649795049522093299835234892586399838111351901818886255092045309484058696089513629892834428936800733033952149555487160379823449922410500445915195586778869264756264165414802293015359496834455310213185445643845566649310828135685517713713857029594879212975225357248025603629663868953378731612129112067372093392192248263290221211858814320461925960862112310118686672177072364176184739508002201887289718690807594668284486729648905269071236561706174697290439645869569973767825539100820449508181564494573833055112890775500796079677614825724717176774328252767441663221003059546320116889562854513900225662417787940138249956658615523333992122836639571822273400375672539855626325537974353747491561528395502882078271752450480476208854878969070292728855037380522809024501254028695543926185172188423864266958435524999195545327003103688234478561954598520404359123741683906469862535295384371667521290402665787981166441844084334416895439623741015651534223685440914428650549576043793607629662719701278194000083606731559669453435898813691760377809271029015773292801808795933036328424240415554310696093842614966382369621370954587050630223376440597514755410586629602051383769865143680717913260837137112469328840262238043232196210781347149545030171376670564748230585435480215751397019403955453959844939069625985705531249149916548428918481265735195358087720211071475081669790430967335290660553661066274910306781816306386879593
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 5,541-digit prime (572 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 88 of 572

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814931058 --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":1100000004814931058},"decimal":true,"detail":2}}'