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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 #1100000004813511728 5,977 digits created 2023-10-24

Value

40554000238384818072489324637923754889611365737725270329881683698874443315736070527053006139102757300473409033450203059390642770180275768219425774989560953303289663209291397972607380172505273941789348345139070532449936006636682762852833454370051283621346564802797455256722011736450712654146393408351542322474189761147427454781805787721121936513397452527234409390490201591911962664258212740811598802670107511045496369529017987737909673311547198719169293919506365012621426098697267142069633427507904984839762221796536744609824542227369652703018204863352904655559421442284235069549581070345814831894337890313489165202808827632525065489031627406643000703721014207433279751548955661357116244800745739496642766991451454700417024269268910620818222688124059740879557270554763462951612855482555614191601907455138757465464616940617428817022624155403467086883286725216451596754487653239431775730010153378001329562942529973499935351376989176159385002963186519451437462502512401652513116899945195148039183362684618132882303390004919532309523512890569945997743249419067623135806891769042888667217123493499286691943688701096964461428001734847801424241118478088497103123978197846585361907418376123709945037465410624925285724512116314547781499997633365293552348339056027998879803024399180291487429140076749235946460235159988030267024936058996823880812447716733922559029836840025233667930170176712404918940156880690080696988357672041927639935341079916733904924202088031716793197858211816979017921780426684296832777003254731470486833797315056656508291124812476170410785668830380328508138093353205866585759447073159303431598989548813402875658938736111139675641345299196552715130077254597408654916079036359331329089788863200014432141712439729003333299699809082984083221777032732178273350297578119100010068433201746983017450559141763704284731656450730022387190848750809268555210726731616185498701477902102696796808233737525180048561302731234735497096062940813399527471367289884262634805599528419645117479816376623879925577714003809192176617655414429665759037249490251375993631154936379339162311363627551216632439890886596780364451781294920233851358225199024664150784148102977176969743033525172239847043528621631267967385937233344992166381993803006353390834858256469049929067304744254399662469239647831642447599841182823567509773400138403538739485521820052914332815084277957982886525231452802268996557312436734608252664648680585081756401521822058709798966353251044709004976994612315752664194925355455488843279273198754133374774998587089133874361219239782187660499096384010051341662986306486800261284132439278102776568811520495207435191816593533376095774316853597024264035686059049556415280540664310429014264472869083889260449426099507942417787756458792403163056135656539968620166596744124995788345679121125386662850880945975312205470253024180713152754347286381292384885542888332557099348067828320812809419751503362187528228897812978229693108936439407673283637404450285307396529962588216453797963933702564958761977736746529312940430380770340540156074383909427070557412537530743973680728921665442819722120118949345482158598520626633611123246211892559372078916676153637980053922125704591170800320041744700318806306243069776754416439873380385302049041622428325839431316974394349791448399272789274660212436065067538052509967888822959862848212331850725253449501700029166026512047800183272051698768827626364990093369658566588482004467125128506600193221403156038082822713401142314023564727941963551693043904123046560537643192718814075687815303373160859613075975046815527491502274537236512362464047708936713025398016745351385198501320183636562874892323268818758696952472733252014722660614460860823847181400286574348488639935778924964605825456524434564329201700993118818531316861808008852967991289666708500893722692332524156436211260451007547898872073289624233352610334115805361923534601928778692552262122716006562746482225173888065511398863852350407908340183124716693473233221932811630249433310541241699950242516845373524769244502031131189709657332211347324729020285970149656711915959102389867001784187225968983415454426631715359782050830732931363468315324709601166892227342182557127721136003695796344085318351881051484570207433677398082273249050211318293414408221182468085491437600892037122410958032107651133183084029320292224231261967908630881937388644109535617233151802751726638189350477275773920356248735625877444677563865662701707953439721956597975689879118146773027369246064573312171501028298893016039113463104068534016497120342433001818076015855115868162312465922645286912161505421260982183088276118007744164892674615100511996178517693032213364001344198907663040383109584671250931542407255123634197569062085832674134939340521578699703937052135163554457311611640373723223898118144560444426223607597817080455337692350073674401918602687663221173516097295251918702885289948246133133008428236122453620312024054019643600067508490443802198677745416215964049585171943908193468317439946961975478858407718490737110951077183455212031117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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 6,373-digit prime (629 intermediate primes).

Certified number6,373-digit prime
Certificatedownload
Certificate chainshow step 34 of 629

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813511728 --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":1100000004813511728},"decimal":true,"detail":2}}'