factordbrpc · fdb
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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 #1100000004813709375 5,270 digits created 2023-10-24

Value

20952252989066526199868258500113534609503053828656047156411779357453178441253077505322147954308024293688832734253075199538060998520857879603473988674206873300346599845273843715758987670113300587791675738310944051686386756086065404085938544416820191877897331964516904871784167987974131273757077255083814928418056092795502006042618900900874527067617219126885169094474946568831019076092700719829141082298145958857158370989372392452811759835274828478594343263666360180574844902119864821482053602651077385935417328679903324461316146873186157104839856431027718476635036137178932009492159907800575962210316830258385700849596860921775771742161599630635225567386128337645235507459297981376419980677890914048481636913166420469787485449871982423178708110166904460248658111930970376927874874571262057559143010834204154219503080982675802653125275653378220535379311990077195003271899118324150005220265980653305815234006359705627105486531053094263795791687591271100189707479987991846027999364322709917981218931350201912920929307849281860930847939247770408498422505959385440526241111840318917798427119264422509340980943443908094364010006831171801461669353236151771452924041758776968814019150906690797526325512897068690504670893352701991836837977213885617913762575933339321969180658384377295500673563191320266106073747464180193957987286941307580062032908699044353403024342309813903144648307940136279463718797911243422989598967276241430390358651350864450492778471888882047332381407023694745937234299868677593224273302639815041723596907682978686956414462563690670067937260314195631510685825357631892239904801080312999036463419897442762895178297398059690502229587215731796105515081746613876530912323679495666880917717271086451080765704568041631452014059294757376988749798202204854567917150822775566493348418702356845749001537226130212837549651974967902033368984056643657796066843758931988616896170200456688815062978624826533555798914129321194280131529671383855150292434173225819947237631304233025651837446426086632482658691093226128358444223202687540111071640631410318751098673662392496209043281807239198786212052941948669411877380491014337243959990467793938304045629410949027932192746137378853796040016439035920896633445888809973388494411121563745823942715063875380075055853746456416276548776755263459895218024794842600477929839243319017652941365377654656143927202290651425777395444143161862561127846390270109923099708546267171373681765943057965618332516667868579641442303122000455904757051849311346363205118857320745482362138366150722800165829303121585387419962805875390083065946137945065072758338792032181160792603433238007408112675508515230161618751396604609238131764564833629018055250027754098088501312229923640751619794410072607027373888254508685552241840837493775913667430388957725412459552658633642741188143600586978924707895082878922201630911828497143216088104692254990013617714872661940489945347282047699042746249457259956388731779093103737431261121808132172273961441430749616788591256760508810782031525868199407781965098592810965374710413876854964222937485203243797896929350328802617956977654077812614201614294012560816612655633016839675131489475899615029171514231848484157764570382376137064525849357176464882192252813063174377922971039664385541938374308072473069139109764296720370769812827519810244808618192917881519325038911301175627029046352348785755329471703426364364773664042262818574661305356179759949982361589663265684434643778173534441667660941678863072794710879655324842973499082843905006509007906295389169402923218879242088488692984402478459752109989609726889453203515487222072914894313482215534865403733247403309193580094803728982253854553634291708899493195373153401850070236279970513614759876831385789019996965689647762823268258216931852475075219932808417502232026562676452225010334441837315516698181266399739785617001658393717008763114525072400910381749077536375545161827709107813053457868167427628106674489969099626363150002687870245704427835357972564131160385039992993695867703929638159501043776345087319327469937099311098265873890208995186156884191387743291098193164099863930756004992622751164983801500395211583206527092344558182004693207127809639046716207747111378179805785547283974258831316261775778096941918631354591192005242855124641730321916637427823988061647797469088610586432947135550654596974021895699303751701205361236621960781129420310392891509328149059852372023232423341217992129600888222193348763307888855844599313415659726954418602635600889843817144969842464573689072117135236206805585303836637257358848540671465829967422586195922320255184340896011503313988836485934256362110738531408664191702960046886505120458055270090702271724054504538505579086284463662110512583503318069890052789159662267297489219660452765256739791899445929730821342678289117260239613145372846592240121178311214101093256326368992345496386646248367598815754067857332157320061697885737483498113852301456120191965860158905409596427187213592652358921812654921786181929102331837457395793085277690931506639384050610426098777826506391720325009829675364994155863075765834293707601055060334826453040895059723326183159402170913301973863369596269919290137905158363072796532140093458223835183832740319964757149602486541379571900466399361363036679577182393188017771347796085353818858896709019
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 81 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 81 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813709375 --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":1100000004813709375},"decimal":true,"detail":2}}'