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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 #1100000004842047497 2,934 digits created 2023-10-24

Value

189728881803139693587670460671847627916082363939392763466360482785216016786824401337309039855386766086008951128039940426103199780218048837138030947240893015866415468486793157319580791366962642771309312561920040508345986119000501188502523541186150949485009117584799448851426364737816095140064759618158597479662281983811963394297716191100760044507052205581648322781224113402089825623488548983161782184462711042010644683693969660864243454281086080555413424852510975513079733100020641823912492301561755088996008625377947290436284789330621109566359798048441834148390200340483119855990119355552432849948633258611015838953418575468331454067574460541216144961414864924406990526000828778791943836201286769895429205881278091388386009988910959109785358188458910003109764435132757383130396147529019928352566963505922546835146242931154191540403206477039113958375090755209756075591187977824885419038142642851135582384465040805418882488100802159582980639791924304107187707149173962106590707993636142064783287671154536830561885917281611609153461607043801739856156652139835860824901018660619241389551393644848535047922788972894821482084444519078553697896651172359985787947226570476470583730850215692505990676052299929098714825754085377887184887929113080894408129881449619914454290585637039130564378996261630082423438386901095795401526445810363212972205369014036836533908351652135687129245084803120205440826695181165692563094609996556917728825656220187035433191439122460508138341057106925465977724665970787471291496353873335189547732251609854172929519684213186615756046342969141190356301269039628696841988682533187556740791460689722102765879168618271419290021022629649982402754404281412473679964203389173780285143875543295511430985917026952409370160683464681545462919971734499943593939139092309951258107623760454323043048587054027198674240326704020030185357062231147265458431356839513343229211141183073789626198739674522930487241743313363582892403196053756312866112457130185388121177796966562330888366712375325770749941368392624105479783121881880866754222809964737362918976553166590106025760293870548747694364739413179761975042032108186588279316193667519305866381285412777586612147711085050762125284543143799259901190726790755883969494175833984985772595228906537532935471297026940353309654565264956700128827921661419525197037908378027374375088371281027736030728225703605503178121190661425127795817822686794453211663308749322498354639649528554982129440844623586981651074093614162663382702256074713942986112665701060546434173931276030273933298382459401501003716765198407794741519029315753471500419106172703378195706301490840658415154510851788690008428725596729603634662545031865372795649297276792720280903187361272570096910703152584994354316586389955555219059304683314102930436629899309309045902081827665972167015320668479418231383204659594171254038791863157492451372718891987073252021129606929189321271716487173758540678490146220985608638350054310878439
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 3,419-digit prime (408 intermediate primes).

Certified number3,419-digit prime
Certificatedownload
Certificate chainshow step 56 of 408

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842047497 --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":1100000004842047497},"decimal":true,"detail":2}}'