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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 #1100000004878113834 2,385 digits created 2023-10-25

Value

218373322742128091443126699700537808365761433674463792240092095756436613327316079302435253506085316514430766246641413717485565754061082229078622631443253489246368004841338521233775086797498277082221160807911136512461346372458625076548657210787417414013074952682404178131617081672099036455567156576336226416187832119932396370520818897474315681448063967254463315864313781606765964014760780839668800969547159656042779894412585632214018796273219569129094780190766241671191097737797176309858731650289064473081559109417654119202296125020185670635791661710444602325490335997034770136068096262207906669031588377479653427517677962884396701218464086721757895194027567721369236139922507561474993572068818608598082966269777656301172797643713731860025787745773422087239350759636879442424426338951486106542864757608963147895594563768004503561497929134690142775941488882696265049593644041767237735609027531025760601315196057117314173843448005991855313232103137568139488513902573518412231029123052235149679194727280320405712629434169591607572157746337179298174116397961067412929997021741386282944470942011356083286008536587732071224447969048935642712593062222140128426638609185301465813276911940415153926420684864091659594794756250624110784059654779640526006369006861256958474902122754100520215331521627971802810505239885001362045109361201863518995350660357890650586924307558797562530460593339861144038216972033504990853600580270619198693520604596618818178926048086869383477353030782096221906998671875069761817388967572496217135418024161796617191921714014671291017440806767498438410458297024347735429479437082203294962567669882468145061836415804034654123563074678558693433605916341167064446194965350089389262775815548560404074409919362604790260141745259762151795322036415959821084059613228612447001117910090357006588829565647030196180787736641544192542826988312108135645406978924244676732776579693840477918861633080807313599558880293291142794434749037420338455640799786538262615252333511320832696439199648617414826675371188956557275096020841860479693941979113106963571501582872057160124298645410363975541305877158801534472775396423585419864216716631519761856302147152471521354133940850144050803600309719561693189160798604384063938218316787449057862212039312675357452539267791471900643734770628430352506626255806191157078064488603630361016653309999385370834420583310976211510206175338691623562789899543
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,429-digit prime (346 intermediate primes).

Certified number2,429-digit prime
Certificatedownload
Certificate chainshow step 7 of 346

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878113834 --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":1100000004878113834},"decimal":true,"detail":2}}'