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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 #1100000004815172649 5,056 digits created 2023-10-24

Value

9416465637429092971238763786086850071479135174966578007777663736433518109694230379462378102093187144288229473622927317330596084290641258596274881914460271967987561712673891762655266750934256183505962611907202685897000343480242126365248476571955543578760297551891739648332187004261328948806700908202783346017104411923361619713155678975783489907873658113635632275636602877077840163250257918609709920687980098772125418155969158856460521796557964117433901744446376364653309840120472973150646613409353241621041398063714541245642191437899220912976086876725020818038056078187953119522820606891163406369986745197421605725399840639899198161860185574924933682867636502970484065927333818301014503612874534909966517653547058460062592194646548026257162605583847591977218875613762223851269992664707268182064309507775566970741968637920960894487042610836320576367822675701066765985364230906548709785080895408736585313143225148369120379162872881765181717485069839100007473211476312993918547403548891742360249771504979057410425253135021746678051519122118089018330918485957623521271400683610505466691801115099782975561892550136336778439947534971390940211887109079414558208603448337059408799533684552430947790953843243154371672674042374321051985042218975106251965870226128297525930378926041707794585718767227940204326694196096639006242665889085452376999697559167702929640955960580205707618468549094699612682658093492999037413731889215099956803121465451457031059407808099853681976192736567742289772511741359620671651279877749549713815045546038694375751823959907668367485275940478917128544175100870303206171700573456274977754425692191331931598287651209141446857377194557240808891551312404879259639906456482514801254207066115631212799237879965658367335322540821747700834639423869111087142170606591640959139543137475353608394109173827620301648607907057901134468702000815083101221487825932053180596922197069953676016390326665898236579683920318789726814341067633466153984011829767068870586752917096467267362852193988816244062950182995653875282255375408865639000745633598265617668475930895271666443986942397154264309315240633730624888650140260778735776651143158646403117924611026031595276652170365928427663748712140335160336484361557485909897391743795674327515313562498530067558262187286683735982655612582774427651192903946196928154177418110733387127217805397213105237440043399018720140609060674246377330548350118291979348214591422708171803995879659951584303492576220394253357484426162708766151192520256969178375724045609104542911943906147306300466187396049852828948978542570746715628687207944207405604262314836118152597611054586333404167095627199461810643936442318972450401460455726123494282471383057340823573261245256385529558984250571477835137675270740079117991311736083146935602311611367035270592643580303130139832595715142287825825872813431112514138691006596409821212959455429114062533484398241542881246672203212565576617672464669612516740129539149445689460610687111271353906899828966397032174182943672841299740532036286842299388121178433846199605401185791553947700161199278524390178082382295477872363738841617232930626375144350737100178358303475391594293077545863485346466362871669122325010214451165722632212872782014856417387817844460519528345524212168139609230608343244310302167005045870604915295930022048152208583278229622023136269558299121602218902460319500616037193829394191747233632093403985453009760432260491420527341804389352549186102712261955845827736340163179128942111932691767418165277651690111996407936511934909890134462416561983267800415520444280122096540546919846171110848200694484969610143375451502708976231774390530432633141807870774454217462231017632501564790785826103647411706995013053251065020469051460197479270796213025752918047298395119341666863021662297010913003638583033795048695334983380978709216316781994447618207673288079466839658192792219295642529038629710486553693925375058702763331761156931124599057817967058852918156856870810153541425690666351520255214485445077950795341758619425552957749100029110307879645755855869335234132243117651454715906209323656389459071618739314054540571813814610457729294958110515966175620939911654089271625888993905230107446558202977618883440868257347689120071735305670843864786724670431698325853450175873378352866773821814510080738986411688899853444887706440481886268973134338958680757484825683804691682542931293792154544750593609159645789595594918501693295012859517508803696543715158977488006970866554690808131205814389676349814496873328666864247000640377379043659532704881113606242593130456479084931168637288351882852615756403203117984134990195134982632396465406516620052743416144122264670607416720430469696932158100924213845517795629341283584657163371596771116196955525611446031930146253253045405175500772515499148058514607678287789579565378338336394876040198116202091571105090583282110796116633144034033964036281910752902810877839704417918511342012441944727983515113870968472710743768013619075929360316279474334824597796702335128864195083448109685562759647961547303814266841505691235083526139842537108588657523349509
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 45 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815172649 --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":1100000004815172649},"decimal":true,"detail":2}}'