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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 #1100000009092177542 2,081 digits created 2026-08-18

Value

15214378493920742761009133685647617261481571958523310365917783139759130479957500997204875605969585266376948396751291729084359071427239431317016956178352068557847828017384473211529568423006373779325851410191108409571755780143864754156110541000518035688011039128716003202121974027639860277461615289213223090702311947025893414508550953922609393845476169342220339890627744340904486458187612021174530329725674841730839206227136982842196767315971460076521806615284723320075449839666932275191789196633016739669177123264016090041083932017126047361618717847035603960451841119865389787116099836826879817906009741138926913578550533357662374898719856488636132832673965074136057095143530598583502294443619999956943665772412919728102500750347473250425826066273088576139714581954121536518640373239453622914418787918647155623107109058445530122604297552804473511051815850981122055380665416839865406144646143216162420940011098014509468300275084233144917261655627746186302791264077940370017902455501662741977889360160677675380486941753361277990160144505193529060449967904377966347700180166351199337298472131288210448798242850531476980651670414774543610892425132482881498277852832893708845586687851699230339811042738279569041963923889727154913160713912196895771149912925262167880334044658131524404762285635780950924373106043077766959365739573541030160120769131962940881221522411914316864577372313983852893014393503222151094020258524190904605724018696970717028208854143020807378533962663952634040206252078610795073001401362963139495168896471727012509419082715602094098498664122373924904844365220980649276612706754078477741760438445182789019001483924944231038194549729555942924500574689621581551512639409269858803504287819983924705733911650214744659191610973989770034110281204728049899937610425214010486153550210562322013014505494177645588685540666147526023241417077378190466794806873755273405386118726254089468711398262605675434260775365622195388591881727594673873796916604668117565919428761494181825373794311750683447486165816531402728535969369916852647426573948642520610562408093548670853357535941929
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,097-digit prime (164 intermediate primes).

Certified number2,097-digit prime
Certificatedownload
Certificate chainshow step 3 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009092177542 --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":1100000009092177542},"decimal":true,"detail":2}}'