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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 #1100000004841391073 2,944 digits created 2023-10-24

Value

1284074518457350177542442370840011976752766896845765858208796596584693356507830413273542203466151215730018750770638507770793159548602490630083609775096590786489990056587191442852521301554148342085318738635407444489581065205709413952880452843225710997180379489792384937897774577813125644810790941790766208057130890015376354997930066299727364020736040764310788461389359190300220405572395969302348550650218788543625102832175757648657973077177209101053747034657652322473644581716133286959676658792999726535207731957218332123948648324125304018814946704926762025878537211018822675201669518810573492856789671467721693773576776615348401433754741211637227280615854705925222421532776957637225230532313854200545650561054131352935416805360465802482710673698695894583272354989509482494421943537765163877479384548110707720915918654942785946607269013899279577923503267338450243273766397393262486552470192767858430921746452831805470704938149423538407225861844463867462703688336278349001118813057165932841125886485703050803666591942503551605535570996739595246390153881428584282343091577929556931493984032634564931934218491464010426231574101760280015095275891931319954099018908275086552889757695908271043392598061251129360628406658292235548774178483393526235604165749412760374460743679364952420156316607424294708050479306231702211695259229707769936685690544426319302232753653664029298056198379231136720830963436399924231268263658169237795970620311477596193369487900256739426326513407714033884233529898456173737154627672807616720983209708038683983497429435223860551630538207223154649053705670504723464476570119027713479129489146055151854910634825131133329217718233567991302342180105645231496707400781445719333597839276391551425197453786031713792369116766783947588110520679201040230814880821013860172825894324405990956904453171785269224351539146307960571778759137925292017981235405793375370642763895132639273622213506874161130704582989605195003502895942290544975741370683886762064421339750714680794131529874486957135657808273380071528019527536054557811191974779453920968549332872728495618667798019507104480015287283188897331975002158758797564162410056316711299347954542725808558536390011743995614988617719800588113288997971527414970403958232386810437716054823119675408167018119463371847166595277882079352356626151817554737045817878474513485703112058641075469325780002477594696122182328991699610305954445610382585561662422492186838982633612032872615717387835812066711030061728967376734681339227424838620388017750763464269842072815956052838103924118359175011582075960164209448465781715531231939983851241011688309322767228121210031724112336968150855537085885598346527753460861296887037560929878051498520860497207774996115830896443129756410725812425759888277281362141015085274777190470607179442410050702512150051917867194259017763295274278648654471651901770070619249529437006356055470044087737334492675273724254150497434447580599016631321107150378095303526266953839199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 3,443-digit prime (423 intermediate primes).

Certified number3,443-digit prime
Certificatedownload
Certificate chainshow step 56 of 423

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004841391073 --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":1100000004841391073},"decimal":true,"detail":2}}'