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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 #1100000004852663228 3,007 digits created 2023-10-24

Value

1613397824453242814330100898511369550722295320963020222769119834495074071091634855940153133254549636749222647008575179787347410641287551133314642602865698596446374751661267210252270374359884638471024257785166300217592325278603557202885102401676179675641838577918118943735280186043129534587040388593366607832294150271514716323518839616430600352823561353976226642676524895505699820781990973265472230964138129246288142581999503128439872912329000405057108947698919678029752732035637489870313215443362117440374107721827418185590565331181132690134920816971087304197448812384138184899544849247204466292445715910706670753567881130235590097686407333960646204412702360288555579195068669705107958013420302103805752987402720962168233427903722372277627614034881331728762176241542410850875573518211403492688204973011888521091561622213838775993334567643373335216290718720364613874460907654962013866695130563983007017922219656173648717968144982866049225084532759691667534638992101559213926748591570107732426003450775532458922618301690463606501812236455027405871431502494197204420613311777525685315750325540381554347734396064861608326380073158687249126137472314378681663039981010075936768668576115704588731567656212157029281192539958016657136468769885919531844469520165525231312411791928745992151794137344359542282800999420053636466203347671699252313570404679370432635606321425839799914196965229054988737861870593455759674935162598572173772157296582660824454340342796883644075250025731828511373878401550275604234886519635605312523038572240070798584348941204535787065460986901063728153139025198967378183345348975315442719780596910597807799044218553570623608752875151458241607563978220305329460903489571593884251790624404120243984595874588497429676004340602631431464349136370901386496993861792047792248060340539593326024954278560646611668258977894862087083331105945837168379649991040491024892486372264414790267319857423747923741514843811600287534082083706352967422440665351664176495942019716365421598440372347679043025109694808211522773800962827862535171011242232259212538385979569677436881003919649522288675445056526589178586283714524302279268869543175061406603793664508232670404484339091021649691481703999810788567448625570910791936047189741890081245757703736900406297744203926280490769114628480696598896384468630449561196874625547653946994313890061085687073336249356018988899666828907156615826333595285868609852459986698706126314767664541584626446316003535800955681849960391245709624198227162563471598123203462897467860005244718402891367261593789648171921798591923973733145756304367965593076739070998446857976065921058086077982104311054370074463416770284272226619581122251790959769246199783931709939408435290477420991357431562729691021960724616934157395983962863325257637652192873181014416254035796155012675167623209002879861886022331414096457097359738530851962135554023031188699776198902703182878720222740443067662768743549482892233363696220055648074234657703124709702440807353493586544076013975755250982287093818540093747
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 3,144-digit prime (334 intermediate primes).

Certified number3,144-digit prime
Certificatedownload
Certificate chainshow step 14 of 334

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852663228 --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":1100000004852663228},"decimal":true,"detail":2}}'