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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 #1100000009078253295 2,015 digits created 2026-08-12

Value

56507326704556799047195030961053649562283769140705648254320626253512944703101102597863575052922104539045174071638931397096470188174631503559911734655161108248898276960852910138800312671925346048370896116992870382627014034393498806181261534983287545009747255879860859937826992644346075574714053399250908660072837162058876886264241142227195101053837226758911271533352656396267126495221424652043801329137837484664962130403320614526891659841999632288748045104332517289929481563652560900202216104702062398687080800032986685417474618796819618381682675048200321420554771705339498846980450701788680222300249315899464100842304964201593305477615341806357776269406335179706485903975648359608324225867421392890853930943991851317155497813538849158242170923483248923674480381087749492264332598880058998074182712418999653526000206716205153052554755110272057729365511781492376262290776859103853356567786127006588940281028928170316462129055977575691921022357841240651163352777904776442951100245540523794121280684619638448662064360637807795839764855503748214265172109196233173483569097541926870846237893048842245591426307145568680545423586085540560102790699676701115194864041224845930137451358868629148024898758971419355018952902905352490610114244483779335471873601653606231391113451696612677172071024487455272738480797088346380650655499652971094188020233913930112805234087674196366366526108786350906096365296066904821115851534121177227732217210206678426464396854577203908010591147654205345177827783205037100161265806179604823358894337003697339880365089274226217208120843806334878430236032016096062085611444769610294925202300348669697617277928543092020125608151537389576627675277214938016725191892493680291466123549803733140647940238432203739154769786407309392296077285133732481782876994737717786661411074582616651450538474171749826201673842575916949881632592573781619572482358002013529842783849016212109417818891850831474581448281578396858024074246572567720233759290110062441206942140433802281441799380790850810569352369686595702493
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 2,147-digit prime (168 intermediate primes).

Certified number2,147-digit prime
Certificatedownload
Certificate chainshow step 11 of 168

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078253295 --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":1100000009078253295},"decimal":true,"detail":2}}'