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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 #1100000004823357166 4,287 digits created 2023-10-24

Value

102202350649744018881313412896197594568175489593371636098146689829692934995600402032097421686067278097441825802849778903664969611551864029427260670525424439322879418305719871524253359268496058656652415216557386545206995015794226866792610580604228537023282655369562845531280209621237595123729998173691079709739423203174010285176176756489781677312643879500495317536679715301051900746754811103628665982288769765419340922047931446164122785707120561988559324296217383654051409395045235840003872486977237886112054566467153238527543785119793065677976863834649433083080883722998481187596850476358612790143851854621890997322252760885670596225353191535985133964993530914510695137017806941620084955145597188457651540450975365263600695182805236975703229224360440003846460022893675389854054674294267554056712919585840536043384116405172444945972752078018768298857584477065731928451933409566676845182691203422384791605245950613982100678098147322722172574847147418100418580973608356386906534332444054366182785463899148772272418869705715193122406317451976287361117339175337277023186315499639921038953266456290391547666166978462258374429932190208283758728933369010149410912714056966309883417094630676397045889534906995720773799363396280488633405605396424002190749168438630831627281175148217591751446445804561582282787768063867432167369096061315886112991373281091997323081067572787492617356910865604715411494356528394224605381996649076123024841449919595157129435056964209036587402664638016912048254565025729496362181582539321983433497808989611707438299622157730119025683208303891385024471739447877321841003624816646977413067909168111467851416424696527382213337710020685999362311900737352368854348500273011156679056278070506831140319762137334073424577116666131952081389291136573990153939327873974543015699977169969391070555728602512469751099867472841242594368773239738618227135997578983465470879008687610762611739692267230432200253284601252478775986446737376274688722646791241353483423262649778517339942513428988806822864023548648497771436600867659366919660923925232987690213260289739766999091146826504068734103981089872931075404744310220230707858787151328693960087455975121593688485682277491663235187237846795196711596460574568419614910450666648251280528619951945362489679636680801962117590197604920670855660451340090625457329048040034814342136702329916760554597537023677511389438736506109156139447467798644322910074553316574574245623106868346842662271178660757048093010229298305276734615281273976443423207123691296354103974239890461144058418494472439948754933322173557958059107241609659221043740667052840253464370601055020529685497139260281587014470707481513439389148784766689260159824106472223056412808309869789607601880266325108727393603385975306263968443625451936484677444955367178832222424034973112359493064636836216010379918738097394479648045363342439118683317525493386756038476589852261000106638937389496879245182089574565034623704625768931214418997548780757331459590940990623014709842880555204641797673305108008287821718130367401587806082602000016565584817510920332904957272535292552213599619196530525624878433249950300744256082453079911080391020605032308114890509462779907434568229157843215776959007231366128087919044455275718375811560990657824027026116217969118827903327305237929859436470360808156724115159351207387616707053374066515524706208277074769039660404742507375423680746555749692034003127513042993491518293011984283605656142135231945875174939306465871616510471063705497195599441497754285526860071948874499887519399686421646009282050052420671552758163578573659527008309470289468340895475853803081312373936893668314746536315724792652008167321426248473015813487220344037483934693369364685271611677125475724935006456135718737667019037047047365556012799078289183923223425251645135666561284565857525916892381927169551657192517981231502063472203289373435035954049873778176798455903823843511858461312106443217476909017187710011221870271591184710471015780151071875898830516618437385540544577524025543348468935920587962087538320983705211141092492363390044369092600163484367811263349936883528385310415803056006940075577856142097771377645448341057619566449719385755606688067531663676200524667895101747148202650419461756021643464625978120758527872173887934388659496378146604038807576154478858620668369
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 4,539-digit prime (615 intermediate primes).

Certified number4,539-digit prime
Certificatedownload
Certificate chainshow step 34 of 615

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823357166 --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":1100000004823357166},"decimal":true,"detail":2}}'