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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 #1100000009079033698 2,155 digits created 2026-08-12

Value

1048906516451717734997176004048892640237974001374971033360199184433010097342943403772536320642403553544643781976670986336986120758170725159285389336639309880100404811393105188716524351013723447346790680771582601719788047989418707911788719473533999098135532797555085665870588967703647278411623852355469773338199075619786039987358269503983236892302798833443133102635751745949458025761746709119366372489235783320708440274896517836086670175393816353960771313641828506779220679281052277454542887353283821364380527353716793479129797120401624690324181242333221295075878051821218777713869445234409032689520812489691789972914834461430705501320801846047947253230243520184417319039970528504424211764352294556889425315780461082272822607592141097829311655880406052375223878038473290980695710700452092214631086814634762751087274784209421826141186338704661173469616431870888206282527432513034654319260388350962732569062581287291773249908006183868479900174882205817643355229903778065415386815825054425692412442358114033185434907000004609553081392486119282057129916856729791018479375380574606654856129330752181450345736484488252120496009275848773026978064302573971612846530054491412004873504293154408321015179293025377251201627474582949438439809020647879588512384385210269798960133978151757214597136626196655213741071564428680696045954606994486636137222895387965512058184812760436070105537280492418093127242072309604000477841547026043464970894124396445752957697549853013013666263361607471097646252992503945558403843001955423233009909843434431843864476223166988025936625966135763421764153496487185987920035178058602110095376274830348687365165921336458686718762097541208210110153685331293578302261620429314020607702609989264753499484560903779007011540986335954651351189709681429694113278224923047077769816064712799959396173528669502460905621739482065872620035003508568389457443915970490664354176908602475070183924453216060917832160534142036924807589190710812458883600213708699303329601570083873972874182382777541598440788253342365456379716646650483096934640239911253134678466475952945938735991528210287422016181710862042083084214072730623364876670258761840506575492317161951
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 2,673-digit prime (208 intermediate primes).

Certified number2,673-digit prime
Certificatedownload
Certificate chainshow step 43 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079033698 --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":1100000009079033698},"decimal":true,"detail":2}}'