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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 #1100000008815873082 5,145 digits created 2026-05-20

Value

371207197138097886727862428484300995002004665649851515487015620190701192116013126653080309466178543098534287901802842794488905191444156641947251187896204058456316297790675309257775528293508762296162457980799745338079166850912475847681976456191970060101160603006746454789016936718741389026148366579980289329350172027808043953305724420698939237674391135577827371803842910619283837317294066881400707229858700587715308915773345402873255738689675976074060447602202663727738056226136801599299169422605766015297477566802381753111188540885106225014360626417116327079276917997266794995780060929794184992317523553931925146195258326275130024955706081972625204281736987427249424323028142873171213822331682468602710897486578839267548060680562984691262185487804739940582403203854984782459311079544406639521458941513669119477216864612144589069366675749646318939567822037476452939998273161001806537159837930848700718204499827415145254965080394470413208360128838262991427000274712542655383960545232511168634427980531409825274637922994992971612995329687046868378624855566659470307558221481570512143333099924887690312928429312877164532109809518507774266160304381483999150697891037344288153383030777428264392815309471620817022334052376730009284268274421902850829529652518888781715082171807166078930513986834462973133656732128712430406374358614839167105730872222752501311341549742067219591004010971562430843549291853846622875496289213288038066816345375556046976150087036238133751843047056342824871833924124693632209290707942304269494552974877735565149261910262039005601276051308668058545939298599030198474611771297953660569959519908324108214508044117271737048079895764574389011456785661807844142025702770412900652384399296851657340575874763654002964248327572935620208725840400142076296675551197561921972927591343459482342392202867966450592367601775854941777842501981853194982172153800119520571124286689334645897922668206041192505389126606021145447656080355653772945271971808370931966844772356720840126908691171776432857527842247190527313409669985133774371150481458684892195681629117793134222940051899613877381275328506104325648095570215847569136251953517138066733628699611737742285881850311735378865004614670136518649612551412784949256082011098285675979991914876363908579967027638976740202241099501899198432687170030812733294603112075778404655675091577736601530661758187153520880796564213850980278374820965584068752900844868407633630637012507011457747260086691165684805903796589337482786380404137311508650055754465522931226057422753052046782857137082008713389637065775376394294947888477458532936165344780735314091280289085493741816626807537123282943367527254759906070565741414931518752152109642355777968902870726323897535425750955375325726507459908178695504633531247234151690235445958660746510686931635997584010790915215836891003168988085478914738101182123658275582418760875477497432852132577719631562122345012138820041256877956376108950317267508905469138206688534612515208167227173305536815027375159580741033433807161686496873111447927917197525077993532410057284067047397628605358701199542479145332901489277785619152974415689105624878887191293863374441390358445251861615084430715777831231875227646549989303749235227549584061157765243359544041869877542784527638301500617120176387767449348496628429364643897124370528413538225334427589238374608009388219377282940240227796752061477972290329670895689334041431816986690868957892759841105468771968687408946557918745965736681677168969366450766827921237543419840931579880506542539059824815148822593346634873943571364999485956250743751893879459984624003917087703957767364611583875999321010307414711794820319134531966717510574835993488298243435996349006881896942803880748101573495343065457140722383715001711786283509755859695927988383099087749151082068025315974124059671462152332750958250591318918250174175780642639662288664116528042061649821355238296752044744759843563948585008886357311081289326344890721206853110017918943082712153216273257183573132470162595583553533046739024392976461731095888214909588189160900444971996369325548715924516788043548905298497038077797986695905677910830168025144774971063750593222824075672749945984921723100572221059804050296490196417604447871816169537864561101476217702753891022259298470330253257450995877165860471584502863044900622018755718108347118240312078188150808526614046704707326386829451121060953203268620389703495168679211962414505789931830811128777412044419431107420778122643657041060683546514794215189580456804164198626046868459686303221389282945207775667048818726446044961617157443383489060515732833816801299442429113604523074508988009884218814917835018004875794088193194567878081748369348357274759770183229524777561156800350443700709512448326174499661823286020834665069040142377821526531990187602044415263213207085843428309849004629814874902721248608568574247423334961257004916168851586402352084241042833932436414271184950970988060216425812840623580441741363135339199813084942291428294046220844146436996854411508414739011311459013676354040750746639224746458805135946295553555492137894562263865348448419874713979226329554802973505944507264261557378252967828647137365665364298245633
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 5,209-digit prime (325 intermediate primes).

Certified number5,209-digit prime
Certificatedownload
Certificate chainshow step 6 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008815873082 --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":1100000008815873082},"decimal":true,"detail":2}}'