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 #1100000004813708591 5,616 digits created 2023-10-24

Value

999992353204693151406437781189220904847431171333486586056125571088549827418705565947130264667664394035455922812289652856274860588489435884499056250501380650265848894073461328413435205938590180417230007675364332240165632675151771184754804882800211328088774645851096449867251045247884621985631822236383438742990714672002948106870084576924668665430437775450804727929056952025360313215797640778925151168172446720570701512660532378020162505080559784337462367814067399863210981472466688346222735290770175501937517906765223643079495153886176675546749459668821879244981236931442687909141790362399141878512189829217424034774616016170476089111940719043214733866394778453833016192091615737876197360881998291928545078351776914009525160623505023062830329768023792415212323380723495599134115903355377264316112490622304102374448621436761045707775450801137590270910565540463180576405859335743761476187004162279134474947045853720171932475648313009548877179008963921552781461211275838876441561293009214745358808688854406083705482706332710494754489225843844125991651573603046946418863646144169175777156490386842272404497379395411820286626070366130648325823570744596023072343139182078704209592901105307361944281194067449717910314079635569115358130241478302012207470822560346923842798026584235286642317388591268457659710827745711261172347575023016603888125471190704018767885918498182763477915607576004866302355121560938010850074005767284909672072169399272509459611137184832715960028636922580782053058192513070358115487631977599508643570883890288245237057184785558309039792343889197610059731093714288076430523198105817759792821123784603249071452554334433386635499040336425125443905388640891457657356398722606715222216144155466498753010896240446791345698007345996988151970473281646833929096890628045058710703459090893327236876007772424719360353234784629358666437052060964661080850671881194014514573234536716406789568294997289181877455238233371599316884267826456982594379969804474511025269488003597986932378861923850205492081322243137253792525186160919995242506711485191483401882306040806373698585781709331622950424258320761496057800875244922205795796250716695363245840099307422111216855716754048807442992380668951673560069427710243276096184824851658079455046247102180513367101336179053250814467380986736364758386007846804785907356572025279387533265326545859807097288692187559297000689114263412886457667602072937978397057677026449797292588829237657681207399876632436210790473895283199045450253553188179397728068538270494043621920867734706525564165691523745502671965027069037140529309030035382679599304659372336255045187371798603019470001741296537525892684687479462851971341256743412369496963809855324257168245720424313308415195168517159096473878975970948657883119969793654919789977716714049860958946014033053273962336020591862297524949419480605607799151003801384813954933925503287975463478112667606917040210631953796918259900180520558863692062781551890714251068099701504278370404778524584330802900938552800290481451358628719310067434085371810098512532367386564048504278927548529341812723169380947925730575869264570810025804334720279620390230140098885652020265650257193204129108388806748180329796103061386733105835472349244424127473902486320879547460787443981080029505523705338884552176158983933645285826776029924508354384819525335873777919716312533673958478598762701009875627012024639387427598746969845651955164868656170164698786276369453040319020769707455061581761824068631198746394437647620363255657976759130315950035981707745776743653158189405710427655853566693355034889313899979841242774310302268735527749582038588450525079663757466361168751872586778200569733342744414115961271432584843051904987236888823133760645282925953642707882575780316394565618162311209294468201425732983041212081687189250514250062999426671225857119861995635450214074818292859989188161643586784870944154601036623198983807640093655595029597001949302182703446212232888412232852303474999253289537167139370181577226023204982594655154604940529657012823880271448417803600383133922401576934883171388410590349689729617318327940883663263222806155971352748008124445838872012337344442788166052450458679304430971519533030771429044359159359226417853439692029805193856517522214288495494640118438328927183468159658990966141820886448949738308686313571122968798947534549174618918680599055367431019711771695235070115188976081717916173306941660398443438613966993066329522264611984654166732734210459956249016700806251100141459627647555158265433528816190184423561041934073496071043878596568984989040103593858960190194418002685898227891379301198094340945496835355752611984635118499669973450628086997847179135440990161863536179407230350278512000664762397369073242247908358927344222229652740530880327358242445964382496257347993464882215894501218326946228813448577736636387982007741854002664715194029868807997896216673852946974040800138558767557261319293262742867281938271169224303555005774590391856694317930642276643587538732110020096940020270434486022913311004652059737709642449294060442033996701546323334090339111241656442906202776185540304478465212861190998361651778929055433832798582063651428731227971958717196322613060201733217100829898188708375782851778466299586816695746904860094888053672348841344610191973798593597359221780630938887628494140111983266853412829198997177652800931596520344049144577297744394584592648049633746241609432461933010249695616189076172871095567980286666871189154432206794340755755333019378679805622655067264753028039583116967768561872347982340771040653535538072980435425649332064529309565690765585385328893705440188150740079903069196662890918236575687811317
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 48 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813708591 --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":1100000004813708591},"decimal":true,"detail":2}}'