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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 #1100000009077730734 2,084 digits created 2026-08-12

Value

44766302184695727743518591005557432670201547326014089947978916049995921377691641604582619692193116006658969722014193361094406391467161184867487068917115346450053663180958847335853219722751763775244574704859993540882888320508703014731885085730516996857064109379592806215035443876404705990121191135608555349707763363623220677702760153159097175410743530164691438591056949145941673657444510258083450165225726553216132430154377512093321223253222469847268055756204366841458281681358299489491606795162610784154819893089894349764075497530728427194846185258860112042594229593019963686319077136455083041027919431627314972893774345344987607667552059099732782870569886828213786239001499854049349743463793296844131625761829828151501010856631626512950006120679324421309149418252205832725149592548080316497144372643674451153906360125068001631433000997999557160083546337427178583167089420019455100116059800472666781647681094595988589844128771868525951973002000089526473236870969774656828746721559433893386820981724049664131706249010099240297918634878625615376062039851570436942925180680827128054054673245137374396813066245244473296523082209849864775616531760444201948526064371382631367671558408021028338479295249488288034422116590396349029641176603006364754188470362835836770407615076346295867515808276183925729132215108693654528168863137336048795592605065928796331434503398468590843537433153619554801323688871167831309544379272153041190313095371639582931193978479390985403814530386058743048273742086426209589972745524596274014235068713568729869421501718055084980296038553872533225873256645800303277541550396906878386488145944189663418568226971726497584908153699774511692310814672294557702632578542929317321001989856535963970041173846732769590867613473905601429990776021249570321327365646703821554351531659665883842442774267136460529341018769757243252763526516140619791439109925050162502631317958413891252870499613773400050212111944055855625619826574432167334452949588566265141849847883987573842287118707856640584881040370336797788519620888698179082294430699188205429188322131117750455060168212157743
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,143-digit prime (163 intermediate primes).

Certified number2,143-digit prime
Certificatedownload
Certificate chainshow step 7 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077730734 --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":1100000009077730734},"decimal":true,"detail":2}}'