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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 #1100000004822388076 4,611 digits created 2023-10-24

Value

709201395302622133237277657401929493871656365796579960568214187717384945075565356838024939162174635978059394822077808617451788052778167220494843906944749213151306008277594811006999356791797462484839589986693992861851321892280027536819488002510158479756620894555731843851157734001658573167098620554531996177271616307423461383390747928058961364550315011389624364553088129613779392821088913701420067391761398616623475400344434174540764129236117128833661058693623830624989335172806582508254966423094662597147015814304947691086155619445596196943045533187584312880149050422438192707332492391946236779256116210698272776996041869171642950599457597687603491141142507550801231465815690431855156799875000195757533244681920915064129120054012750341584914029352612428358839663376799811464371434367802701230254619879416258241188361516313242560862947208544094391592416947593843266720480734238296704491614758347060517852437684469172480219364963091314256355287251490087343009171478706604617652115256768906936431729764075899983379955139304317661075507564238355573091871386901153705168965038924433194139940345602583122194051033106636389057877668297335958686902793198726959025410082691899671159313121293786344131295914210782350714309908393468643299078476705863137445360266037442917258056509139028776407867145379680146247029321009884406158352481587464457654847098638360277933722939348521192388612672012294700965842072152158642634932785030442410068922603224988986861231915621488824751030648730520221935643206476522626440861728523159889383346304230602423506677370826962534292967470665643063508136377010716823290422609862064703062084382990525120231971746398686311862768501106789586379734709553056020858556096347930941752731230900240049571240883681797807408640124362158797306478398790530599673010324552573865465794217774669739977156721206994865151914950724743440918922351030005190758983441439252310229391191606303671889544888349753436093989849766161819550567129813270149066259222426422525354894790887324779751213097540375605680037360946131317540846679798337875436876267929255174773416616806508146467110073548711841576417966131526991892096851382229099501473172933811631215150325980242631602554070571609301265339156123648171019950149888227384431508800309057359105252817610390774502315550670380484616005167706366039108210239836573491074826305063141682542077189727051889263066508148058090922736985454106497049715776084618798476264575862998723069522827978624184001799640839946629464133173634819620378972407092583740295268880442622814725575546073387915318346617442430444637513271421472535924732852420326717939361857537254391017473531366476281573270486883121216473487106507089332619168653476388076395218783515057974536010133608204995486110633870222053269031305126268194195166572476587990111464653862786672313729815971043625640993616965959061678366884421259784328919988430434010908439636929574486545857212222124592717662091316388070198300430985963048297990447102278369781533938231523069431695186675812995922801252438152305369147866648129916547890476667111835906183982015427524054170595174047867762635790069300823985531691004428780382053333214714392483296665024725544188778120904931626685104297641222254874049590545441793044856261853746161671086075336326678099354690786753247826392683845603938830804475149820741439471080740955952206426663542938753706464921338796036241557731670396233180493939120639578217330603334499925093262806351621683736626378758108705897394549382090788698836443736623907105482983979836687810963168565866749379654411069345138504720238226611475394513129217003215331492013276111301384265828262374013725382283484256854354964863123003618738816446870262820803180202386457541780358406552811741732813029873346236261278043710671945226316797696597701410451649330142632941255286556658753867257567658054153052522979193674871904807230869791712238422063537323843094601615545937889565722559832473901960651107420881045706348545059720434993469707923029324460764830407152154935332892960194871112949249678053289178953448643624319994777275292156574127224738395608642392828846912596646594177411620994285370621314061577242986070777708617495436386229447112341539822119010741746971177603060333287688140149664994097680779910982514870906692782351044709907626197473069041842505644118578043483265985611483372260551656008717977383199445407654796457364439356386921351089514971680777206439478230257872458613619000082746466163477865257400430819830227555923637748411360398301438102431797290173125858871868045524646811280985283598665586669612252735223922406985527481462402809484126017551916254373001560582291048797222593114701606199687144032833200686837789459
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 4,651-digit prime (488 intermediate primes).

Certified number4,651-digit prime
Certificatedownload
Certificate chainshow step 5 of 488

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004822388076 --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":1100000004822388076},"decimal":true,"detail":2}}'