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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 #1100000009051642519 2,226 digits created 2026-08-07

Value

132527352053405373814815948811776999276213094745966084337219804743445184937474815628925703491738075217030151649450161738755359108478763933400410996534673221882505595058525565787226117657519377261211319862344852238185768241349767753465456676890859938874642206841582188719081295267888956422968704882800459948892616590247978560024295975280150803970476960573369164313030538641593575638482777250162872859959592436676082169499057105255316618084665587654988343505553699045723745179528072012381085159369260098905931250229093977091544603022182177709753618180386784884858902813148251638508286146529831936464922460957528590365567438628549451222527575604844038086971147143242115306538482321061309302629832265740468868244889296406067365090965234493648889908257742749084286950512912016174183011086131260018142126066478496361040280224756156919606820834690367807507955551879586215606863248261327116423215140081275876790330749841612355371503618051769782274660446165647971561751768627844903946473489071578360601989614684930656251960723014443412217783767320999134455349992924129508297020358825095083847386172904548965538554041120380302735543549780857972920753543657089495525780586829792731368745540418685881150991839029472432678847811712401015926834860920968848280025884800437393068842358377255267092406183670422705916300950296144989259034424839525179404749533352068255865711355906536373464360958359398955163785387536782044762905831642419764704871057760532956565096414983417656013296985321786019817309819029390699490042224019650005489536611985369432781610470194938698305962332110627709614239363256301504981149150116021835348197354468449431149566055531550736040622363225161889366273610077327328245713741805650606374752747189371350403434699209626372464817236114254530415324801277983044134412655241674939753987898839209678778025764410730993123948102882203331068858130739597378454979635556869999376394597118395253340080677350835873150274388315699052530844373633476283294137392795688978593452514334690235842929446279985133272520272409313728694684922904174041153266331960064947819358699256874350100517222304360931167278103647400749051342882932166281377632268440190586104711089940807820137911794056621049624334604195350760792888526315513582292830317797
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 2,823-digit prime (204 intermediate primes).

Certified number2,823-digit prime
Certificatedownload
Certificate chainshow step 40 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051642519 --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":1100000009051642519},"decimal":true,"detail":2}}'