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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 #1100000009131611795 2,640 digits created 2026-09-03

Value

538215146598674622438546630919454301246716152052689105634463843991659369958356514868279485575672050393833702539168459061534707688558683470422318022809513843207078556211645902648648162068802021257508840919356662643060792424770106407159087143905307889254072579148823786527985226788401211008423054061724119348267600887623539021561719598777499936889912266044013222295958840336744580478006501971999557856243768882974246355829704747486689586249073165090743752527369654416749883996030408812438965804717399759752944070600702892592274975982256939517964348028893250381695579788454115605887741110773254887448799533877007340425496546841262254406897855034583795198367255973774826256233033618941610471857213663240821644225518311847529947773090425446275442605891523562778819993297595046312018962092635969948207415528361218475771091848842238572162452471104395711313489209414502748100986821429279050060891564905607224739688072725488165191135785582063907846629783796066287512581493772914731289230208007277533213123070596953629861933633433744351526606448877463900293463558227273674727907302938464081726652867350484724269265291267219727597687397796412384651015643214599534783943477101609462330603627692380646859533820604271778477623386981249783043948246844461851684029296628046534505078273902364977321022982505559453130177307058739296291071869636756495689772271551780521238795315721902634640972751901926291350521892359615450724316151282967879696651993614060372170383428380086749546231368666008141646887068633305833135777500512097827188992342449393573392089191310650298632803323259568122316899209993090228282979687090987871128132899470971913378205139574012709069200440788825299712061260758019208702080767618673596815873001390352633305701762924423638847014306331325167937874145480685451673703775781300862801093832004719777843333935411393933681569909235023729929072372591212356605527263852550713725553777463081323159217076912934563522539846178431480228452190529003727901570861965839190017759034080584900973699271098369383388757840033239176751198014416480065747404013106895442444740161677697873835700100258616481138976777522700807726287925593253033749768931740455999133428279986023604470851652844316671695327999556357322100455445410131797974152595829289709508636902659553724411180770383693424828192206647808058516883512047531251172618319586662618681653934848028158848659991750894211469432809210289440386994097364468319548119658893791073930514328219483835293394634555410856140404638621692891776193883817437775237323750832863016640842552307397640044854417170845910645612538046580342586735343757789501619851375467086400252864336092586153719833023517581596010102124517
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 51 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611795 --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":1100000009131611795},"decimal":true,"detail":2}}'