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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 #1100000004862225331 2,335 digits created 2023-10-24

Value

3976760974591390619131252045663041425556646229066068510656394600553449989713245118511340902672233607327283728681254297974852597920206393897106183764296057792083942426950871647989713785274240001617201409140503606665719328157653649121417477212740841547646244049323264154200072516879035225132933506996570694785449197663411691189485270439111108158128842877521843904745669819545535047048690632014600352210507099952350959120517471520499807198969597376076591488937713135640109848609790798440337890016061126476060608714940446153206330989199597818006564887513707440457037386654496054159552830688243698865136648227925977978830380433570063364762675338048578239896012426624229416771711357963135994404998003655504066638850124674089759090231885942137862722044288559785991662693509487989237916133053413273146632055733024764457026570741256030526315248525708305822510004160819661170216234504196790843417626402889883900164173494940062987643245360073229977578856243794150557135653957704490418927149722648877024944927084844759039518400890468314668008530241879080928979225622573599295690366995277236835260737046571331452173436200957098354811456883651694513972956125857292901090487365875119324898300488706891464746346232921215525004601506925122066906376641834104398664283179776707589354644612294605445191487082198023929003798249278043683227778912557632290120800361250914401725344836309221663009813423198340804507264430946458110256482068579919509693758391042232061867202576036844013304909857305844538072380497004792301241966714536909998490775791579742871691219343947821211237692098162937094796713972032688695964277358575575961858858554962714341419944904326767972611041325776236678166013164017375658469059701584059842882408546075513954313943323308427682349454435592337288641564035589127998259872241772965152389117675745464197730413478154527304227253135132050552169343585997476025983881950644254969260254188322996765858800399845533831109683046594490474924008137869894372516806601008728951180503380597914753742159238749246234494059602947643439596117383332341402066872679251898086198574782309908591549667481231268634467338362717196759741155924237053353468094649070503389644916179404944393691922611342240397514525219912280740310570972127678072374142829165191540220107230980603294516523077661173546228076173523672737429088248738929873171351759362041221314778676557
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 2,890-digit prime (390 intermediate primes).

Certified number2,890-digit prime
Certificatedownload
Certificate chainshow step 65 of 390

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004862225331 --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":1100000004862225331},"decimal":true,"detail":2}}'