factordbrpc · fdb
Sign in

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 #1100000004813478237 5,547 digits created 2023-10-24

Value

115432847151876714319199406261528697215912087419747696787040908925574481578664742731481824613172874534612093458066073137080982082166956942352951386678889219873995173391276843545476603857617723992537066813589015207075908821368020520777476402440775464539375233681339263821089862506457801049970512820840644470340044298950444269982791473306111923808786972658896975399226883849799502575548156537761279102471748950345216085653171134986267809799994646662595661391300145628531000343482321944379962461416165914030840327821723674970943905439836549553982959302369650213492012856528907003441506776829042966991415100724691958859427183881604116903051907782805007777421449852389249998035659979207226759966547583904141649676718618949175685018522224288085545219292348551546211115049105988586789873261336416119079883903544581068121553186794734968919921693202164859396827490074932068128254455831095712555646455267815411324615311972909397274714202029282409237372708057044549239440780014731252954021961796629307996853552538865308470934398554235766198740079553401014989728996678209304917758916698030476785134801309548188941023044316058472972659631478998913956449711479448381170797714624402953487079118792176949188154369084633366138984193253638354070827875780265425592620886045079712216051279261860653594829429515300494153622506053252618217304039276296824459733039698283631823246214635924902035207827627888471921073660566643841103182708245195129057540301002901840506376180282081480824738491172509238243041361100260856914759493844434632171645393096388234008600272260073986246122072074885024528432653766385504341179653311884074864048572266701766165893383939879628674938754501121436223286783635172212806500422479725359044653115638590329420277431680092448837098313750689171158491473709366429171607346838962621559839885828805801568146890690542993455022012524581498197731961855945861979192221758208295853673228287588195702661346682924489105305068707075091894797087502478519292015818545778395317174434617816746319924581383119949771352692065749230106372144987881775272954960148143865640162627966855776978391051977181507320765536413428429710094751006645622468226515608770713231290832709226115283228252804975369572409527846266713438983573282318272630635256809265185713793174750603266511115108481493559222311095923557796321716867997271864882420425434483260700779312891367336190576954710508647721246434839814637618807581748940284915042674097374271704514662637371271347242034871113963248931813041214981888556823790628286806763948168730821634937842110630191609515555500390033366442136245728111320260875850911064890087747547790138405942185530181640016959474427719436358233995557340684295829537024613266245515414129039264302945420273091521181709774571084078134222102084346369031360471283910305489744000057807352682239651592083043589216566378847433748445270499714016771470080868929088292289601270368327261336164370300821873262563481981280779051417717580648194924815440789060934044306384187551714420368023886381635227037695059293157364061181781427120034676806867397171025267815495566262758825417297511828332040573033518093869607371735765927246298766492652165260927423642282687995278665658244447278712116476267941772076872359810814536710409541967206283669098061552662806300026009094152679124154061707898565391300534242049084558262969067949440195878884372270876677790303675148875341086515201935730380556674039016708681677666873979512466319265698965936766252956325503830808463568820666529378311473196092372152904917165804595179164715917156048448144169021115579385870425867402224980395785782113291340918919786777943188926634347920468753607334363317679794160249944587441926136977766354317267885089916504382288543819029978799110610609400934117502865694653229830070789602743381708144770708651600164251459600230195376115875556598215504782662641682687577541699200324673302232991212568402882354698544209807814585578133178505871828739846767110563406726591088564869837484469001373239188610770334069176329898545806448700392148597704692359691393347913862996433577137332729575750450954220256039545570742380237241529872354705324909065294724729781022772217266653723991029629166628980094205854139374332770978567990467012644700696167729621532613226729396793205092310101664833034867375355316008502664028599151126051192304562538346556058778007322059690241385562314266266628266071599425396805976026332299551129481439641767771241691389807789237437231021199212665686991643254236710829486489873215533090091678928816817974577249702348948286787784281872607461983640767020001657825378140523679533454974088851728986044140173000157244788256117024273024383148054522053051210971518170569858123796988928679104091385398016281985725554842093608830880832792331640470680692345334281506304093009130184381357998489921038598187016237955995810524907042558343110520296972226294057008683564692326108721914234087290122329681890907485809482167830385465707994284346007369737974638234477247589599018638069896077286227167028296476444578420147331854802516582549599880332814469200471336121652271132943099058321138293602509718889032140810538921534673462676854934838624579527617974365821169406917827277429300728669720438854129220245434146221820004709603779938395876888311178123932834407264320124674421552764950733323382632821866220817437527671556942837242861915520863341380660192967447733145018282491019623584085541230309914952090938620148238789711781378559853588933517447647391216091762109435322329074911364789330568530956719388085787967534612259588701328174983323476671155468735565797500900531830590873254808741840259239637752562925846937
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 6,322-digit prime (637 intermediate primes).

Certified number6,322-digit prime
Certificatedownload
Certificate chainshow step 66 of 637

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813478237 --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":1100000004813478237},"decimal":true,"detail":2}}'