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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 #1100000004813740577 5,509 digits created 2023-10-24

Value

1638350237100562246604734771369829889582845854544928486973446309923598109185280592563306579350330401664906914203442692673465219367965205663202243861199118924685600381470227403147224655466823881416114509966880214073979397783749898968589034580056465474189705434705181125606531152033706607150175870380678592391330768560080791811457870365982364218435531612605773183809588353484684912080063409260966805493075345149530447873518830905120892536851881550021066693384628348357592519983957305447132299971591452717744936544932247085721526198860458087709067140944404689866872965005028324487143211829433931391521121321263803629398733171926815492860464624948073783014409994870641164476136444069637938513964313522063102142932831406243579546357477628291532843675996782387128276454217583601188897091221934549917945727871822329974285202171125948138808669292395195987409329812563960150556537355387407831833793611374004981061350982033702940800605457389628145842682667592374035373833120124682480134207690215905468195169908581686485155895285641920667564032239844686852803207106803621605277762443070964471795775133386878236538077119527488158243001453670959053961100179559932444406583410390778810511749285158637670437778792268614885973906999886626814067097577946193917294380866548665233364610393409439006982070990570781705112003339356127644809086777929639856870618852998441464352576288011671276695750151201003741894269890328545654313314172209443451512421106258942108103017359687850017503938601212308055693244518965542634369510480523792556446908481590415579378859272646625551220722639750910797907768771363248400812828265957390920329861937921702915064535641735984923086916208181837388400563284522781060287901515644031233393732263780029109569789908890260603768405131702093683083255704495339217427731523467575193745338358750611527610720659580531491242228837625628810397268490088219051726919469578660673207191630918298401135739973217399855059343962819491199644254543218959245059680265976509911544276236015655558769145462988674483039489301668097359920558786316475564904547308854681206181426220639191068790386247696987899799394496268947791534132636032497622646604188532565136542148854766818053208196203636450416464130044005509469955564562178767910373166127942750655082807503401837961550448204551436822746263453097787445163747117000349882838707208598406116234775294135454484750186783894806747557910137275927298093086885492267189934970317907461992660686195574914689282664662395047013313519038275883632528668392078994279016482180876611419628789209663826763589908802766256864787140931836743664950640410297026713819971043159973923796599640109866529884238123842093123556358910217375670654592938498613918505201431671926980526598032399203083098255600461279343281026680733102062000941734148447249621258180932771817100129688628298177469731977228146459496160762640779360324647309689267367306938210844900374701894192375827869041206181320341392618058246094840517736996327325727888098115594694815403364148595824935179905534239237021114014318303449828893723983628135362269655296094456150791209664699441607784122385613569359337976175522735064358537928514741422436164434350929423194917514632360287460324143683015514332056180839964355486790231218471198290725583202242989303978231819734472035792623725810378161332421111084337933884483376105248908927409175608725740374838109046757303210697634625300060234556849442496165453024458842023832905830018607261306981628928604809185089570090252579669251954972331673172058707628285085457318396706648576432946460391143096554848184314934666999238528282168822794987704110555654933674139095871068977027254856324198562971779627365557021472650220063744976694387744834897951467275247536566622282360076526556043187834035944372926154953990310551790897983043690679873609447751069054225681772674122183876088803872921020538058892786836050751315702887562915840866454664799999708279782629065943087268932769333642893428703818133981438302020211071204919450676438232297889761148348756039597736753768133590744534979806748593623788757560005668731889491003839875676254574670675307888731795795821335566113461069063420323370275591196274288426764652396569669351809653667659464674668083733113270973219511329772136604384862058643054236919528920328949258186408518851545658910795485518773105000636788861152740777500248461569884608958096746423653656706849704180853357439163631179863536798160685258570415065461138686958258229038493461101921787303093681082117337703936408759202265932480638059283438381316018563584045492175336529599881755424890262853427807583120232240561615965829694669687412773325867774781327176257998679610671423848328587826002793584009928565278013151895890389172667128917517989970029981828524177401282014085156670425519003288044101314380603860646131081935695754543203358349206081671153424239621285376473333192572181605940936887257635953812802468828892287023727907311696018416351046178324663537311992681675649994991094362553159157211642970331539371369084453469189004232697157016348497308127256685412075030846397427005482386611616121669976764181242028406583725224622442826901989781967306579327329559201177103187429040381963356297513946409164803006624657580410019494463534418281677303919610308388617548951167360998111956733649859924029802171978011569943687048862479750911401004824557303765221846946157934228735374122989222064843421726429163870847913834418854669687541128686428865177575299789504574213924904724252612929511616128535037407475075516282759437045006149018956244510313298649754508042966259471773185631107978966758498598223619
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 6,136-digit prime (628 intermediate primes).

Certified number6,136-digit prime
Certificatedownload
Certificate chainshow step 56 of 628

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813740577 --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":1100000004813740577},"decimal":true,"detail":2}}'