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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 #1100000009033478132 2,368 digits created 2026-08-01

Value

7980246756068748366574332150034031798107258509122206270472957753680936483645055516525931257663880252350557983606063814548745250811934829888216567051642514408437053773085331684234090925638395951871724886339485148544343225600432395304728740885937071422292426026493712885122026204808865146880208067940252896183528778213615088323283832359537508669558721262745474401376890705857655137369513525444070250623186626267801112232951996082658051001878822795442391719490747014596558663239920676065542424115589026047216584188914849810051555942649449500429996158528245697688257532794477518346893593315323356005025490957074626766001245402167410298860910094706468119773827704262197752336550143228518662405534450206418250089734648924830385126283050989579187108033065212839543389417432097195687644123248100477981431643308987470790539303129942289182026863710596411210477975584094437338137403317627209332404329470602365536492939859827237493464692298244708440811288724205014519685961755195818819853721036271389793036672626863594187284834766312499558605103731260957995705196242321221206585990151425688248978260529115748030973059198539272255792928447718587705976861204697800318232543378946620156321727699432310195216084556695414942971918767847968854140420980018305755944891311139368912612949148409114751603238638244020897785924394035606728914358477592917973751436640029644844169333075844990082261962280798391757595431983942211393562500816723153093725182553825758768641133458558359547916708324101355567478816208539943345971388697687731677276894224205533857304131408921684905612568568398997354465221024286245269092518908790653205230758148451277560971850966081921228707826758561395900309758216878468284935997329623951664413379720334245702667771297012713176617718584274270764815273700059457008733497899754364626508933348671612356983315725672951333093918168688570551415155370552408319799944309364677081887632810597544086315936977776668181449050760485858508746734089716116174004058227904637752895536070177040787728735617910367798073979879774500562802681577108432379406415528658682155937223828504595905469175831567769967188361962974036005892310864198063529825798106260450142563550504467040071989951803371380645794508191286259403272148005695103119015547434145931246543532131852728184898695232936713762926542541545319877403654766025958810904472243585653857384111707175299343036766185592431091947818181
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,785-digit prime (199 intermediate primes).

Certified number2,785-digit prime
Certificatedownload
Certificate chainshow step 32 of 199

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033478132 --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":1100000009033478132},"decimal":true,"detail":2}}'