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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 #1100000004840866288 3,242 digits created 2023-10-24

Value

52373463580904360239826553659199657581209416356719590744920206740000480602031255440583883954068321643315881919398609730464225369177628360397516749130414226784532762243806161596374148537347121688992255091757143169284510297349687460997613384340446234623219982333106144050188279609463717521363329221360855464554606754007027961149416007833203010401324454930206611865328741939631906572074546858847374503781468472370176417510844870658306501783064737901203271919210896815431122379838067065909705800939069174657234499751952723942700656296095180538942182114577312481192631152079964908149262059577240541140117361303096070204066082962943561330875240011949940210514435440834537576657997684923229854036796780746828962498239735078232189999447909305481769163606805097948714752524807570387712803372980594110959142039352250693194790896596403275432556164725997340395895709070926807086148325141555039496541293805013974656201324205732008786417169234340395301712690878236472998622713076358774284403277317312647511913413221165450422053570827416095709570773758937889301244337141774172385033399042284053208427263935105634268077552210356807172783678374050501313430190354222471391677497509436618715772919219954147804795448316646185686732123165674225716112551699082579738012865145151701258747973552473382786491160177989821968412196060447458467699261741732762535328571306940783156344915461931232451610519557096478723053395769413216192649604369868316009650250653380248990249171737685907783783582532845818648455678674918118854607528411944001133798228392843296841340432439041806626202850445345209946272483766544139877129144840730491050260357857103685956600869570238865584836921525100160263908371896868547086468145122585841474265870919315968496385308857559603655363883106242282938871891892250613199607055206068969492611114069203718447565606331926244253571940419188205589314334853505002338782801756708575013784976370868006517566252062833560625032440763540372233227116441553945230031119512217315487967524553087805529784322440957119518384156563249292405582167027742953564364642363903219547967598948154926684031060566875891815514428005924455581973584195726830175694147893956926152153119280860215277551453287364533870164627857841210805356662114483723859115500023055942170194844089398718936424220133417007449473109598249654921891334963943667454888138199022728884354877107353345652621578748512457796543262055377642417642410950109519463692222859672616480931829390189471556169858370188171059692974005518981973941978066552012073579433089580933515945103779954111480817432254730197821447813743974512683152537711877816208763442685751255591385695923376774829757093649258499515106648447038772192523625708247993128851584012795162590456359750865137087780026541713545872457361229020803151265711440620400144684718688407851467482489130841705760775888966598536927322631304161114953720518688107133088809526043864260460206978503002448273147842348113659296114275491863292085327269132725678900982088280965828295699814013828034091651401505770740853831754727487216878589406861168611399380270319312255689812029139304702181239137787102338623271708224809259501328159192309136964506618369006954675903763935265049150014094928366924646096664368188574569460433593094200335841968011432116174406877368273770307
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 3,473-digit prime (355 intermediate primes).

Certified number3,473-digit prime
Certificatedownload
Certificate chainshow step 22 of 355

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004840866288 --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":1100000004840866288},"decimal":true,"detail":2}}'