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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 #1100000004815932961 4,675 digits created 2023-10-24

Value

8835082831976033858010072632507656491094285303015739124524850583963670465030851451130335010042108425030243523325168435803268037322443287899012987882878113025767092669285596253667122998369046575832043235894677899279010471527282179471243915505604708883545789957629352436223931389284929001135330233549974791144085354880544471224462036302946017302404371894144934087821032702725326924818465166051432639425567902546299824848071388996188017796289301725149269429168801041160709015279721000043490239964979537270940247627060269753157221369748617173602619678864576530278682191569571428849700095534678715033026856366663015695210125517671211018238382521758056268580268459064002953397707504949052694327430752699052394872746540265758561085741020682208405070573723710531259932849161278307947191364132158915985378267144902119999906072445058719541286062953263171581559806925615072776997824639434221796483124557257047303596554946590004873420162196376001928679351761788127858846634122310124477708946745606421865297380025814536366484759092454516255750771133865342806333480628055989941671477360409597353120992052513062104788346494159279002844838730776172628795099046808074367981765017915350749056446252690340821188226428634413173310098310037093675796584994469426247716089492807573320951569227550349014455077087556128269652237759304302825829659972300307572293523386286112083318893066602931055985286356274966528269469207707780914831302048394552327949360499790672840926094758933321428761401495125888656061507589667570057088434267771909679996815019143268024520667580268528784981714071641010393424155181967462477736357499533082231974348355516719625741952528905031315869586829053926467363672987487879877323459792118344392785389458643484865349944040162624938484516120903591401053586197035125509761476888363168321235702202556902891416188267364111569250038531420863518618100846046860219512867419937465058542897431596715758259510067467152217254015823883143838706432259241055108573491090701595570983454105702855065255754928478266162722746140922149228209643740517276799542509410525290095725430888431633643556616135898026487157121376710031430861995704703590460815549431665065827266629202023683213787368395686683263545805673993360065378863982930626525406887571584316994389431661740535845924684245531396721302650848652705836185607251019400197692688512716268635635702504759097282510626730567157347367728959052039966898590583015402942238515303128081015376953936285220415675324249393330342039758653682519634121561667549092214037680111234680180676438694959993388775717929984891911534136767835255124675935421250297989687477618703220503453968565580266060986151133346339240272753680882371301244549254604165247188619235281475413565194588958430790335306793556776155230962299242015463537517940255283660350168136156701480021666124354816173776344864020695288079178953177676811228828289427442931493602908075078274968410341388554066673388039099088932637539939542137028247475355596743994540600406430185586625674381268607092871819812153517057504942217068028615506263666777615434939212722500242994131108043362239759298543096250162822979757607502725316356971728758393962047015704779961358941399181122857552394724489145851749863743802729899512539037382870222580237892411707511305648638824131737490352405651329133721360041276042167019003352740944840190612115721702803371786100143968111853032594396801364571694697811648848135498699600265134651512897404433778290055576467845593651632402502359593420467331824910388865144843895124139672131030030324551250555209799534279247728249177325854854924560467858432799791407325505122951400510747262122671887455711148179726730055055157264347770542725709227168129803386041770992401052693909694523649333921363713948307392667274312924420812394138915603926195925593448372479742909236490829257843322295683999407013252023252097254885484824465353602625484218816435806450366457233102772449828340646266940543131223372387090197775874255092612769477843203188384279354777467896027063393146529238961151866583781835783765250106776366531680933647527567629135130175344019326454506043614625178221162943354970862789307873346458442103795366846331247958268675617537804241631810410820129038670317066625910952343432741484051137387575887232695759774901487494484189781484362579495438964575735285384530552164229719796628168658286313665383306663474377259742609546993972412823418266423984653965119016951244241844941604880964814671948520867358814499906559129769364675546953865825934104094712076369662245514006061119714094131615485649035905326254835786932815995470805643917725297365850332478223071870521543903075741555158996201787466130704033418931681447884839771731824559038646198263349987000273522744019977095957474613519503
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 5,412-digit prime (581 intermediate primes).

Certified number5,412-digit prime
Certificatedownload
Certificate chainshow step 69 of 581

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815932961 --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":1100000004815932961},"decimal":true,"detail":2}}'