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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 #1100000009009793789 2,519 digits created 2026-07-28

Value

28162537797368190629922603442937779561309043971185696550547377271764915322374589798527720100927135027206093983167387334195270213845006278505031380926060540621990305975235822426179471372304652703106212907718331953290910403232848352516496637447659228886517164905220184010623404553202513788849879647518028623894085589579827741872680668086274357211909938808070149659986363261165703164712077378891124530831621632752400865887901245415592981530530503944938059505291729237915963896400148691333114186481881739388652914790575322347942613697224931163349808277221076129517996745764496371665975185644026992115917422441084166698972329837445409160151888764131189674467870012543462855543826609614699254331504313704003287292894185206560106247604529780935400416510245116190343257452601164587118072667988800770752921481377768778459054954332678881626445843867107382786648393023123712730729258870308214754591216131607011410146909557139292274321116149773687533098543695593451622012287812853926647140180414801382267288833528353362140764959643824754565958951132194728755089911298534803256628473380958048094437378704486320477646583128705526532387433486277405847792037924899797280125854241979697860272806571717731777687979048816885682112200673623126699971353460055016909748560529005917523578071341542154624912793665778041398620210545160070097405788881192525311758772614412361959286929156229266129717899185528737015629186722556436940807725900426178512407458495576778790644462658237692104274749874242096884356952536743391926247299157478639812898420689894829843719321938007073488713976484870198189570542441470227574119288285441367132562576182812441326755816988363991012925964809402482192862310178585334733610124408359614262271541991472057384286852030672491776366694939546573398676149740104222409489514469047455558503290472718420446570948840342845400239551270321282392639023468059404119494412826864689912706255908894645013144162974646709207396904520025952665576091853624146635301847201897937822038841886235121001914868283972713222292809122895355527345060798164843198202433240518696974427939236158766752115245402275598693784450177722318368524198886205536861039879095381931500930446258946702888256502092640621031667185837716152249468363798195736631214821524000573203563134664005794836043302218881731577364919540563551123914654861795506098072831763539896443341651076911412925658139232086181990024822008115294240155288102238209463814376719830484077376021784282485528664817356229632339464918789983054159562809995288663060673152037179568354800980348309189
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,687-digit prime (200 intermediate primes).

Certified number2,687-digit prime
Certificatedownload
Certificate chainshow step 13 of 200

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009009793789 --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":1100000009009793789},"decimal":true,"detail":2}}'