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 #1100000009060721927 2,405 digits created 2026-08-09

Value

85183224665857295266032165472849923774805081202606297538909480123144636099881661831562320907616395807093890222942240824209968927522191815305006715405864252354986815627472985628163057194156802287469183757814756212451986333915971926081186113097978756580246189743584427745591176900020559671120907780913616099984241246287263686999128871707605370339686884318262622980855062148391476042890223103976087308630401042750803738176409954720404737800244135101088414000468969289635720997021768460247793030664520082091521986279621296065638190258447239262170136696548071109855433109922313138194952267904520252296535306752111421241587056305485106825978660633109345799223092284599131233906041050155413021497444139833606896915270929465845309078287778367877928754407156778344562277360293568841730120108007757454215517835924449773149257066140243821805385979597735214916489929241019863787435815006724123136734267678265501992522554919493646644356656304238980306519759401878313441691918473042314241834859930312818790042817506229562176262999445789367592003351269046782163889269873527731917938288033184293658090617062296824688615684721981424542477802240873836380936763360506047228094002019849519200259068721531628454606305786395142379615274464836147723622803488197107934540596785564587847235674940108367453331803058260732637099532851885451932511595171580097669890682197845338910937544647363307385238273242687474936778916610435820013920063334537983362719371323517535825690535094978311053996961257174031216164451669663670290119328398945996993421645965423677637189901262668266182280881942349965357926120350165693927639783770250169583531945886471520171980462413221544311286765392930551394146231838408800393310368219643377112497959398936641121291773130810310528331577853594484796212586051625185240106930539540792864045057529090143839721232732434078320942785010362040279456167676140571752537284155830834269111335966270780137487958649775392288723866922353989829304234015600547063934222524550289710603599106249827824588045462263081188560942987963487454893586476067672407788825697632792396164382026362721340335667289629645609443215188301795269994532805231216228319962051878282375706042977385368366827239912934290770708800448741473662412621166498528880397900910502744875479005042264023588619116259785183629603839900407089519423141237872297485955635526271261843002560987572241915719280449140639248767512069818769545753320168313509808295134613
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,557-digit prime (187 intermediate primes).

Certified number2,557-digit prime
Certificatedownload
Certificate chainshow step 13 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009060721927 --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":1100000009060721927},"decimal":true,"detail":2}}'