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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 #1100000008647888511 4,566 digits created 2026-02-27

Value

424283708136219542811973490216307803603556383687481429519324968504579344363508488500931631439335395581771230336802827342719676614121769223710994937102927659340416580052858838198211187308694449362461995743330026150584506273805125139096451495565882619097378738925660835385457330140906468068538449865682758046316176426623319763676469701429049004656734616398409273791980202829227183453094919887857528022946850043750237254544032702594815380882592580071277390188277980725435227270084536026089537958789716095176478445519165551590927134395710708140617268258853684580184474321166147930052454528840476445520849865399327286051630297550938056830216226234450733875197235717558842389026649848331870564494258395663151753702661317480661435547640645836719541744975765878765757364087479999400034307950499897208287473753845370457221704170952503755465629156378737429482462645674902786559370726824699188140770722942943213255393075861095513070600366552176610116234805073400397571862311981531648026679140645129800059741526904583950070121340517171389198771347448206539233977353146219027512826739214960146512576712624855298196150148911739978301240012861194739027407034616366016992639279569350495418093447036472384307704039199405722837159815136771384463185981432557422534232643906262463731306250497222088730165549623317143531220146135093628981420308884469103442886407066479135684913166311712605913300525438496460846834984675963608604094149986191245360411860498275238924232670022418393775670783773539850614608434722791992543942715206328524879162955873884129700315340458610562673273272864874328384423641408186678654702367626493625321672122846357553863465295816571913244689142814285721172417678254380880975865528467163898803218246557291603309270332813725346164350923565541873925068838665211024224238180515236138806047985815974698686011164372623847269543566874170559385862979677493515659381025542993500709964533674254900546548077003403991426731839901461770751839419760255509554001369823911441865250353858773882487085086483654855914200530227356038854653781184974478094569098110118702650946724632226196895872831351741882952578162285418593437422076925248342462827222686523515162127885154439963968891771784065409837009577427099751927522595484945779094758639935390388193188638656330783632379153967978875537329332824626850937542524347036976027086045657677774352944501722392359685909031034296057106369596508638958395086137150385761267852892291301698389652340314131123964211527391275327881846646327732365639645869532093954084619570027911270542321602386304921908632871076449746839696799081867038107678883024962567121992653128221936636898942984770085033215450750491241484168354209906588545021603819970986004768236850858067619177310610470448352677747339114440999322247739621022955922911789693238418327564211575187234642973034199815665371111891132280525420516301418892884524298929947184783283018639449730300020409757860207052678038565246067265633319441933580488040327548736341525774920705092684185087568144929380131327860034562439653750783386021126182022528328474378048499110280835424109410548030286388339982256967676653281052750375012636311547600344784063793766517366288443278586378208021140141538338078511244978251390096819782368031013447133666576336844185438431806821212534388895238873509904791519333146268038258257696276351452904385879586692648228625738065001274681639562918533884383547440867528335700046079846089151246839821221529450352860961922848174091894260338112286602828095843045129274930013753222634997869463729839946788148493311023664741685736717922185668443057281638018364598107904653869867557350951987398811318663326914658993728435025421770767511720002505389247494225902382589754409503572227043202772381467323336422392828565933892928211271227171177810928449975366096460043223841092771945439887718555919305759395053158333186522392168584799987176854748843816475176391577971897287157149066773329916383955182779202148173259773987220820013732817832772229982712252615894514086381824249512042072271283350681405419135231075863979581021752821581185119130316620693199027801147974241788153138904569189198737353567367789233772647251547680816544236956879174030141143284836678775595475764705454033710886290591243911684973327619742686163036518156585827374336459860692029058141145670629238810809886588931133530704701338270658822190865614002820353697400444884072355820815847173614084656882975890715052940348176656192123527313344872307612001644052216444062375029212963265168003698032781050103667861917499034572022587478939344145399588464002226778733738331465187445615439003292810357612927511989721896739411040409
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 5,688-digit prime (357 intermediate primes).

Certified number5,688-digit prime
Certificatedownload
Certificate chainshow step 75 of 357

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008647888511 --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":1100000008647888511},"decimal":true,"detail":2}}'