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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 #1100000008837071428 6,537 digits created 2026-05-30

Value

17220903194886499849376348574314011396668933533382843420647193953724913896143408468964927571617390885292264369723602503318689330355075224961158531609968346570671871826686284291230775478313544457252358308754702202532019474691659480267268061843045241161851559518824388787935818135744242579254934132816765337440090987257068264600973436394363402669724066304843525758149647134222365376600057861208446401334710290203308641942904526798509524147245406226840245379216255384660272233994387757188919771822116632525624955341366677205076762600050008637883135535302567611835206119174486672698888501545370795402392202335851203092740182157233648790074585049052436392773675980953771694128291971097460155294978685764494583058230107769007555268566121708392126975050557774497465563987920851506723020897947152708199564756453718135655250151245309088197673856443370185401548741612899891509599150036158939921984383785880352807697523105646366202079943498956930095982025934689490718044414838832103018339171403321478779733087943263211315416113245171498183489106043357136622623339271891874325404999740662682529274651932916483337708205395191252790436568030429082888635508573317111957222722137126426777726964309219893779652308240527795680038898493447551174821197394939921405623581459432730569556238042304505362264177783386024716573620838503836188367700269923858169877911678750445092812087374684782795955247003784627202492870203473079765082543761730146601583412700750233244670204290724689152792167695651685601821444666237781597107482379922874693966413011452745903585096370657707234418660087534640520596244292837440045003390021404716335209989344293816533007568549842247841997951356085466628378423738728965381725369887004225262237618593080380136019259514197369691754673383132443615505186689241088932692978239996523950333268499442972838898855251103966401625778603341667810629489383539587308416078500202673527724546431064479334860247895520101321704644250169221288602802889816187527849215857481869728614752444406939968338939076339951971499395783908290143563195709720365872589729443120699034046008202501037880565280666231204660729853234419111909215182721627263639823803440144024641371400883563923964529313550920793806958733377508193845840497136464163395840416392822053244446761581747081587825024659005703878353537654795538202687293663299235563982397890382367233157670611098948091405703302357089171383972284425359784010568879249750165516300828607578227918235259751184091920897375022153240012294027804519776781847113213090092088988623861050438697104952257935033686271719857164275681203971784789481567005834917495011530648656418499148920213180602097781981422103213394743628594097199191570884078453389948064729779349037860040388090518982360415319935851170092062324062300449777622300191900723567566157825039840150523733973764432231107211291321181698563749556620859543141451248369206537228080920100680539263038975807148530182869985310608892151585489074966800140037174707254249361516641549430574220756803955871650102826649937826017637165545200280771540766426431037989946229956938142966334934653957082181157384564028386307984138652646807766808517772324037999177732361791359607516197179196655222038614220710728525775112704041155924245167485935872131944893042296601824722257103550772864833638087770432587508182583691019169738188105950868748645488707010843947074865607043263682979303411670145103685749979723755906597787035681623688985759841285273797883889054173439478907833507438290690603974075394337564948108168729242694108527510291385888066855000974820264724499562134448965723634354719486651024619579002749604785672137039851821345086516324379223671535786043285773482018655488416508827333418757496995995109276225300387699384227743230949745370107334656008908021471801463669267958072548890155056318305261528745504770351067266814929684662560518781086258768180501272907212862961212857282018307570509987403781322900687988922533432373406120047423370557345535489884214659642367221714486351204517370209795775402974305914669248312529387645078820928601557819823550319826927456932626396296448198304781739716985293704888472621412642859669063834938215313604734516353760261237370857700127726577733322307867274057380945136963248924993890455542009293200358522899250379614608387355578778966636327626498781595048173145239606031076104585979602541513227403654145888194912025346210579312462332124466958762351718660925504430517498953436841971530549321749524650769007610305716062271482506084021885049560921046629952758107031947150147950506643482165044361211041015150087112857475447302403812399627824633845195589235034728679176375751417876096859993474090939442561429813205042104620578968495068763353785338956561511362385670374502305583531865313628539788795101084108670464778976446672665349693923211792164978684072603692553664016757777873030298929638598082647598931987858319906722698419222240933651606960313006336155200652403675883620605157592379214973672673589248347078033811629583842745404948742034098026540170406177467630826999968010045431678515516116834080962016775420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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 168 of the certificate chain of a 9,000-digit prime (585 intermediate primes).

Certified number9,000-digit prime
Certificatedownload
Certificate chainshow step 168 of 585

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008837071428 --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":1100000008837071428},"decimal":true,"detail":2}}'