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 #1100000004813540269 5,780 digits created 2023-10-24

Value

23389624568174644191625725398546834736750593866599161755891771662285203479511964030593858225988262138666669222040608468038897036067087847002092103505380482485276904455641859502409951119092604592475685630831057913927382411104770540456127645351844411912398179596060607833436561790837116489988822355733783246166538463031022043552628594233319107182616763325191248015465416608782960490879866520383782222067126599405140820508266093719097009904408338022689999405671481826393506222416798220438324700946385087873987796489174843440072885381179611387000699895054661106875810417176020001062720307576550709445564506201716486254718058479218722465770159730132853094468362910162253623309205410957307210795648839163123828628139149702257512972497474653488367408983679206574200115038102261394027235611132581054319682743572617947291988979606628789348568392552259163005322497391106517630754918665989766163514177555220738002540566336581483549615538626441951786368170487817603320974248094583436538849095129313708833932945895525242678496852927892764832809178868008428826306309494209622100925281293596054994203409169607031011898282574431800617253932173688377062183659500219341996255720536836533306743614767366326510259197871525180117693315944222885081868715681066835279697971304748152660464336021921121298487411426339767995741214315713959725532147034767770795653319247554308711745061688294195836572116551059178154695140607466880962780105900224844552796701000977022597772805492043083167010795175724300936371794410611311045352212251814550915208690260050393349218023410345374099814718336990419353931908179921486285527581844410159914808323463790814483561708047782367221269318353257839401368262321075978189384526962365924587485914948665374498167754134244083645785637159591295374504345525637456777162982377248303914678648206113739921264527935430362194291107520084107525573893161126264435312005796048236566159018919534244376925610168349648868388793483224559263863474965521050224374705835840569542925944773627591646736299563559599049407380977715179981829591377307987252822650133781918077535089130231972280448769211917872034630344161301412658443219691798781930208907623716558472338339741019466356797290963622946257240225573166964143790269851754942517471500080741354923585848441507640603918570236135055492127908376681367508763181092613050152070553223675661615301598470334195571242174976162035241336678865713990049689254088756571790176653388922741041884683176130926534315105504359330900971333853318083619990153599109574745129863218591709585484291493682187817772763653403354963418193097629731819704935459296639245193630809367282483154109288835375263931702553430417319385338866924225392832599147679037986524695813491686467487292647464107335526944206019949905789606979280483734773824936937989124677709799493000178701685907157487717824679230285241163199814060027310589200853073530868211780455048110963661119138266721353086890035527881610734729469544582858563804875412121390575881880825341697921412651627588305758374601304798883134077702766438408526313295871269604021043907155287481014927369805491375528833624698812777660921521747097528877317678259508900795857875757778440953001478060042135949420539198604238688275098119205653478219775158241507710784809330354053524415980804620352223228067096766846511740260708284762757159099876974317268410721157627769667996741821500868115572143441985850952490665850093110964095209921632532571765654143907366985247948266831339337435352156022851465338090459046775424071876667423966520074967960824565077504356999486691703364127703507608115247669372632562152274261803943851815901633206437312890980921606358307989678253426852994778161030496531360191788813164132040969194244073667120391679370461655187173805942563105358639900551122683017081904993769807926797522086336741956385510672630003496789015982629985284695651424296221068112511618665747518522932141934419241983456534578622618024464954652999741492825501364576623180539538077859558514967694065538853262774381119286137609400681654161863057428703994104673371838798441987308319252554852466507600094288529815317517089403103503953689287835731122443372978047987145828791311273360809217922860750592292680058475624454601920882830204596534550020785171564095297746491770704964336891648767833323855308854545904319392967146792482580782676105151432606058986095112400853207835070893920421716367655371527844187376032449023631359178950154856975069593649391484715254729652774997816986241994795910975755205106333439724182333630009577167503915407221029643545551182609757050345472553069421458473906061292467947512971249590085578235509948632420336799824987983635031377237770085930683726854801143398873438320645445519607446780998383358073896845993032944460959859599285430799399254832139416574421449122166267186994358473057429676443736731219688338539938798520548862987886449783584882773824426471921685148878698059064360613198103793692437261918903085476268771819462885861143344406176471432885972034290279700599652770489306198610481548226877285993951541630079280017550357230665172101039842385293180526063391304328810497448547904482674997370891637758031380488201320603334998874028268966521086253199652415204490445124880922990007384854271818535914749442396681040830274388524906150797835298727568984190239315365048654931902670029055931647894568603401327519735929173089412640512130900529283200006024313352928339415761064425936080990531957227778636957900938228573790252615195113361609534495043148053554228282860139683004327287225576654154454538050251369171797658612020454132166010322658025941487739231703139882308749569046099396328469835438686015923233416686742588056707211319777261847949863791075996853603526795633313319971416435524302020460312051680289437392008516157897369865356491373743223285464581611955642656855481862241748485420249038560274801334148229259753801
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 6,298-digit prime (638 intermediate primes).

Certified number6,298-digit prime
Certificatedownload
Certificate chainshow step 50 of 638

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813540269 --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":1100000004813540269},"decimal":true,"detail":2}}'