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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 #1100000009080761520 1,685 digits created 2026-08-13

Value

35689133954042284445038270375935411433181986926652993404750374750856415678106378894377809719837914553329474632636914901934431998341472440320312079458698406111250208678863670777486226436884327825160447830248851782648171460232202568416114144660126721946698796486352099534803590075602608703848973641474872050231654221700349651095298554599697232108859015301823392791201292334219988488939555867068653124216831242178553357839150757955463468613866718259386398876456477080859180401334763382335860556736206624064160052095841113118900670180204599357509196782720795574474861598796912322710519798840466987412240338072425460199423256504522901759640906522314995829805955763408664078776257428804777786348139868941194516212575047011451033485501720937076775901578202776979708919815212013925713131109984128424248832347127661213768627415506621054584996180197328129344872333141207559141468545987895929190765469478918768058813910256765249379839685226643882417232264903060639011893258480668261924346678770867212233442294777093381390586605557897017604366771202427465072290513758359826443867940087139697347836414882072146117299293414456772964102775644966980514693758547342297447520742191340669090875461589144107260748640973936934132750812168915456305221697595370667139472416851655790989492178827413481208686469706951707105114329336026471816574946093298270921021685479396334487899336295366373345442155993345007516094047992166752103810993030219604895421521087460685541208109411175631330514027451191269670992586355570880835956451671736159135446301990465190812927932195920984438536736314002866749716227991895902249878089973662288567012571198234383086865913166668471073940203607658993571044315301845075017068277597
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 2,184-digit prime (163 intermediate primes).

Certified number2,184-digit prime
Certificatedownload
Certificate chainshow step 40 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009080761520 --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":1100000009080761520},"decimal":true,"detail":2}}'