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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 #1100000004857157917 2,984 digits created 2023-10-24

Value

89413184780045071899239865637746122058431064734185810309633589593970206431721488272282268899200178655462762369710031351986972047960459006813058796639407263948875941692246521102942919691038951524715773425955864778807919293383678146067659088816093101435112177607936598374840632049033136071859628614546701778969319683641707216302801437203014196968216032412520536125423582357743318299833475204865630168175961391576118554077192838775840932588214089909026574577761925778081852635574771442563730644227782020849301489819228360827929287020293991499186904061135072943492254078666299407007399233300613666657285998233080194749749223892823308607618295414095892347129986254534831503854464493505815834103326895658295377344605044916276180073475244990989419446753875211564769180786240789761053915589342664974205173905650432650529602462497763168096221111870612226834133353653735369555002881909043260285819037248184389727474696512738419216862631941763011959948105718363314849609744950949861184525818451268667753300483429137430212052576674490927560516765142304248504960269464843808634061462176746275129337424531073632703828927995862957450452856689724298751667537703510921969991313397295678372826594742969564763301209508292985277716942534715784742511989024988432890776566426628826834979175668225363359674871014888967450857895077547940542525785570674458969879386259408793208070829960077218841526056804099705056516829592061458714221179951539532020085440335321396627567563250085817114638623137816695349604195626089979893664693213820802996068261245761974330521742424505428113607449797315567903679766401034366495968591592055142724519139964313002557043720947141295806341077052050453115959742192652946800462332016804256800076001686002812356106209686500415043799621622026458533510414308752143866488704917921846027942716619929409797265801198017905692903953175348378058061081225171597789977545259974482533076756574626556709380974960399356118832780531420198307039371336959568065921492777093637663572834964492178116992908248317348923254853973503442722979670252381129505547324171850112716531346661996091576660244960843075022377928359208124478348923638804667841265314595481697871489520635680719908346377397788705950535930789006234513520346236356028085552587533033161256417550232849796837018268605162471113414245825934976871865894257644485835120608747963000271833500176327307538033932378261038610521491975345351113624548726996769027350583216680621752289910593047873905799585250367948672674828456100635081605112234645551012165606428922780742679984462469498905730379358160963290446899822132310481896902851501413769152404826511012540079905137139211052854048655974193738013459234327256229782367330824408707208614603838844001936206756488534058860412919561419960885229297432916503304761268734251010401694739188186067079063612902308976935018260366000484327911466477581804325877770285878845430398510772218449750321703870809192249462776296397810046812505995885255306158760895151808885773914352062771932691572192675721251550190867
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,997-digit prime (315 intermediate primes).

Certified number2,997-digit prime
Certificatedownload
Certificate chainshow step 3 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857157917 --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":1100000004857157917},"decimal":true,"detail":2}}'