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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 #1100000004815102416 4,630 digits created 2023-10-24

Value

3183656914127755221750978525221646839874218061582534221475609767832595186248435135093697851262226755305049720005100665200705251370275008706163544856739190333334072685919579763034894604494289100272833161918358557713097337805390756439242430150445796400754150465376220196472399130516738342484357270596136615420493969947156555436865784747985176755767868139207480684874061938432212868151851836474195785509739413891636758063206812625943437395854280910217253502397386979296394073646941212803159284619798685943284050813883686649641266116086408603312168490755539708595732355509294514407448134147105529214548676202543939940969659787979357173985962384712754508873764957486884761860833958200266563229514086766571682350628385473810664077074409034697949535439712497467235888973770199590651056907733278094928853197879279454979476501695753822611615824606721619195476282704166206292986198169908044998950543619962972936247427977350528846582058284105197340953921560756598644705087308517785592140302605387299833565703051399967578542800313156326171172014417689734553723248056715070465850130931905501437302891594990123895478577159236960717072033164045473964568932214554562491823484251923944651306418998708760192365985089796291881029753205357417870401738294098469018965182683429362106250005235875509425045270822375409516494009199628290340988716536635835189894844668046431650444113999556878978798743969649733276441407645757495807628301091960296388111809537619068505059399168538852147409519115604220332879595055070786675203272827392476469183688682665563222591972043798154462101078810612075005698368814114911287669209489780312792279991997413728148068477159645951871187919774808871380454763292335262525297295121628674571572596261681758217708358007087163643468661719330503437610344886823076967119107788828588170787442956775594468880348744374353963335274590463584432581001012147282309891555472358487227101486240105616137269576641033580521530686716287708835013770012310465616420654708670952983437758121263211703402679121126131161314093207839132126747532864525393149620204798949257957823179897425969236656901001529017683227009978097056167413060261335283461612828971176805142137144464628893494170697996692711784879983167509862128741564572253389723728074822472972845130198519087220294026604709343000928644902198255708556749340428810804784117158004087654029237435087841036407071625133540050370567511385747891264124159135839568592051240369890032926097328973111272074458085718499893647542470010221022288311733813780488344098646701111393943814645628412112723686320762142686724143211044737181183544307462738153821915580769311476720452827647713860909700505854035730080203758294240621553549809122407864728867369501558738541956981991481273080388427812802210337959157940737897011847614499276510399949327806284203730917914518948255553348980159066242749141835795387464583109996647939906668802769053233944039842665081296829175853642488248141704209182074058778864404675843625700044215639424278882980020969429274476053808810718151349292062823383223842771095228980704265827465126934169170307834277957028299473097906782273714525926961365195113033667137745589241837319230152828194644394772937379451089940859426950977928090833534610680791812560434369110547048138222381312749780103232178112032954688392945280957738895732163209698382253813690035188764505412169900369054381676336218116990601341426320868645819021371684396842330837215765745806459605552541158550788599018353322489365373852281604894305200534053634048650925212395876356613818223051143991113380493566657191475477908933488868618158362053900250091387775679763234529966751481531327368134050367930569339998422651179271793811953138274660805459468344205150328330772241397665852578717212782446777050179247054550849918126928794316014679029955593687244095556048039200886796562028208457266262050474611217829616184957359483327088488536125418077564993943494745506489189857668266936100592825306636993211304314115828137615332128349260405581039199431843708469420708070073100395818674468295045269909715787823572963238203699951607393912933653335882058613229600477781521714737315877681364240339571705114394988971395089634962402412397329260520236809591299610721866564927381458380048811520495967670589904803381111870815444800807535074887132500799515571308110765632187278188121340055395001662007590913979628192840479010570238880358673550622229718912349595286702513462202329094823797714001027787424182806096780989369914678988844376440233626967184477955112004699134661081928229415350286880561224902005791725609209517632388410437785723225166584004322637865944860532080485927515164002629771432339457294880097937954298097430633337520717286165591621
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 83 of the certificate chain of a 5,517-digit prime (557 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 83 of 557

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815102416 --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":1100000004815102416},"decimal":true,"detail":2}}'