factordbrpc · fdb
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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 #1100000009131611828 2,614 digits created 2026-09-03

Value

1524528532752248764631369576348969101139214092867482453052063957391165906148881991635760575671232679185480501515872899875044920168469012093603087396799093430901428510963309058017832609848036970876388320092225684664894042312248102070189856101498394450043849804051856554204419034856220309926526010624199150220256941452127691989283537032942139956149113224783258361704364445303428396040199223059768378002926449416327370155926222005378494001928798064557141299077831469524956301963153285571652680838974098744890811072870183747913432895032518221318132852346728363106393231348395510183726918691594514011220117501650471011068454809079074469699092709002836840808545137494274377053512139187591916149573343185305131818383980569969780692516437800108507741115867593004547326665077706570140677682342932678863303573961012031449898560613831978654777527730839963423164976512632756948506660020664803012524957982551705219786750098937946929997189997739312780849805665481588019571043885569475119859859465121944891391994486408850653245387402924084231031916816010967513708110562968568822771401931615307389635854834921732331452949442345044978444998858296701825427423908446762007258114920164559895894771159905402118035948458663005986537664207162621788116415039485162277179287558213601444718528051017867657852463974465220076692044238266018379099898991349377184422821086205286660891302433033354870099177609657419658778378749619825073292303199854116752098590867221921423035725053318084804298192584105660951504309113416955850070890928039393572436772505384811154659190296628852397510034856819506093138047076451548284726215995723861139521656494471267732847200473612053505499219124647907885601533535967239384879632028339771826144277080599222961751955667061256851807494554380229961967597617934891908302017077047543442174339613211937115138820225336908010196143422517261919345293488647234385461461330231851390015194818439590468385761364962724811666837085442261424804492985897806796350917990728458955407261756376124167599779520548729198939483603536614293553686492004409604972504079079261079036632556268054319999625695436928393903996261803291548269897278722806974160097347784210383707477378056905372183515496812053073236934115709204039796559686577636990060153445120314494200113455711665417758041780973378343943327770941337152365920993921066631217693791797045037629790130582002976726798570493385811828784979263236110843353533881732692092670502602017502407034215642345394733945244765765685924481493098056647252164308623141891623483498322416921478941995293880742430228771466316709530860862367714987476402755114334047760788742690636321220266876732170070189
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 54 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611828 --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":1100000009131611828},"decimal":true,"detail":2}}'