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 #1100000004813659729 5,223 digits created 2023-10-24

Value

358745792129375014457901404593084644272163623404326125358794885305671279714761216760441425457348027578942240057361142671348127797948292741499087546050982386257677416898998864850972919712059889911292085473544069979461216610091636861359846839663544712498780699853029205780443626642570531100836648347828233376931095862407015491553413831353579330950966153402941367781432972854500417972169092974323813191580626712436550522917946852529804883013488913538889053781418753875213424896080875063885990947667074681230810716255998433229291847866872747688041565795634634559378753603776682838576191428645195500138124381389966983433304338520323047000070982037313421718642477882545385343126258407082933887158927297142900331683818356529545362982303417360173363320337775141794691796089330570206019804293722261664978750016191893938899218329615822190004208537060457807098998254410996404357838393344299272846607531923223276739410629692307798140911815606277302743288874243250581610717201882502379510795693141601157669763514991336506421901917973102325442997418941926535528193570009348133580847951143166966494562231504584230659266455344958057672763156828221891384975608643043650282763135507992641202569305357194443817898731411184663449306786985511281030542793531570272136618178499057769365423184850593515123508519759460536052341216789732952312483739677962071132085759293625167588064659692130542218751787581079237982002078959452695472552438027280129964484139019988658606465493077236319114231973725984468729841088926219890192499897567079876699253913662600364634631229342539526542765370823174071335273574475337213646275430281839380870974365624418274713103787624613625485746438871979790176129855410087926326319799496915949432907554987229459854515312372189613876959202673053818711541311653084066791344264968410073417823576917285032123081020390214714395422936765982579122760842985054441232800688805564187675934615003424282295585402744010036628988651871924208763468013972979544203148129383640236630668371055388466788182614967565836040955109757767866554244088247993967081091714321482762065245871228953153090277049285721774337200277233656604355720893575102182593223588261819805700698863296265675089963104162307659797720115262226734784213095742144000113774383507748955374058554052685675285477932727368470687258543008691067524163979531356614578551803330899813356227193761045102200668977418301496092337834567985168265040271876547809146483945952265595182190315938575249280684997639244645271120184033705217475783561275346815269380795824146838882697765576751875653739295468149328990078647116874049100562292353675101089386335151654496177956645812249707970843814532135787378206412292346827672815232207691927850456379687000068661133333308038498739887917012475866533954317525096235126780580178847519928900803192481018607666697305310258004186112271638086852011003761709448304146467510629537501981393883211136429831995171386963374459891562488659167327798408111328891863695143146996245681352619846162705559072552139187266403123239015717592111005329930305264649086533766043944163901939950905281253400655611150365914365186955748767588429336357773566343293046253189546494359082015933707637772556834101200905479680959141653909874458236304026990135714790503414111760843218763364582292131093212430909940756315164053041567140932087042880250030849963057236842278354299209986255280392203522406777403068667108083785147115602622362268816781656202381787867818396730667322109009274269569903448366193870864945657083750639010812469143067807714453258196369897913272509505411014008491763636260780968802842634389650957092797215745604372808674938395954348759916061548063467712051322480303729468971098349388816291014473418985430658739623358571722126203416155507987320887853454766411952579781976081787828182452772676918894135088438396113857331362164903815514839871421174358018597556711236665597740604733327925498240942087389345765464566224997044981659174725736719747079433743700169964940770805397080926046368438283040984981403676641524053765595878020313392866254408145653905918671497196668030352720559056375897920219480178474843946356010847084990021547356740848805608598953534702591907835779351371507558956542726569472578641641537764858987802975535421170323207615985619322426600953000043048803561410816391393341059567111625665079663247182914101619982732894732884206744651860228964676121197226674596026065866513029151772221076769067852320695840879711034946807141685906571734554666549118051196968148949749254102444872955671999524575987052578845916159174066563347868944225525475584477621400945004242097325126182632304974028348762496941847542818989402975562200872494850960911480710595111168624015677636806940560891935903807864741944350489795687760991510179420123787852345799325753267058358092467693733897154053017596154115547889408585272145491606134460840694072700025861806568356591613865123580293570432078668842016513078091716183038169168543863848422741206723620595258470709957212371687613846999159472191412558915822567612422711995667172599568890902661901501706628916828578863029048683993715531997378694430246197859763265746812982917600362136823343886734026883887888518657844909340380811176831668934064374303917135802433462392803501276990684993610385290876787401897630853176908638823518542884843
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 6,190-digit prime (630 intermediate primes).

Certified number6,190-digit prime
Certificatedownload
Certificate chainshow step 90 of 630

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813659729 --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":1100000004813659729},"decimal":true,"detail":2}}'