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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 #1100000004829755093 3,655 digits created 2023-10-24

Value

8831810128311230784526763182389358819954519474887813066693948900473549726219026520621702640437554334628858943177628493547242227838285204610194759685436557512532791264557609769544568600011724102120699251480049019160309982735848957415068458326510005651102325752759734810928556134963748646809446428030992831057000071160121668399656552545574205322384375607975599197590168731785711057917263640311679941401263312001992066388674075977218762197779795831733034499056363282029773564565464826397726956059576456195428283119235049674316045996900972660398915939380547275973625603284503732833460458361462181867965269329461803768349935168799789638209044694679966892800258816666144931354492852980160080358909426048203213579735720854840988122560769444305315773405623621245205545693720204301013729211708539776314803726911751871405237993159780236905979674931399239723156469628178460178180191845568779566574599797262497071876768014806002167552794980761563836744744466421178829240922308897421190910101619970517175222602809094114557512843873195773369031586421604517310939885866500189280681635559505003026786126723407625867115684097380525114761076226581066610427162937984191662781908354941068562437829229240075030264200531750802844293561755131956243707802687662923406840843198728875499722306092314687772578736452634689981497125746526189969148140984819633941061642828165107367012188542656254088500230480875398128596676918297421516444921076785702819952778587496061427992033665481259173690886911263913803837236303867217572411473577483235565501436001813870324482844751323266060794917705155916722789499102085319897052712180720386676282733873200334018108154522182070875191168576488755501723914873741615585527013301608147522536313033920860626315749168094158565862607137809636930590642977117280255619413199829521010751504286664457798139408591495917014177315830615891014239875490727648533392453854961131538717607911672012317326089676292253585018154714457254553634220389397042562625512123438802855689250417899069820890959017373835701610876775794643646696095124910073678846197842136336617364312636001621674603062079788924546027728726372256276019251463361273801278582428989595189850016353014052615942023687521163917812274485578395900149890541249281581688793056840593451592433098500721253414501133611135487746076814305296500836919111584089204987755568675815837174653167177726589400220392104872806037154258425575643476744931014084803316257573091195876031228489948923747988814648139967304691751706651603177517882323896935602371505512556257059871607925355394750433236725019259541905973238544086546650423425456025686183873811500604551909850290196378379511726906902059055414245994725953873804803100370541219840328915455249475436777890893590742361941102196534266405523278505575301764062643286260340385343150688092366131266801399550428566348346558015811423517773733506774494383294770378267619307538849998583937710450155498587662922718205620792785164474361071108004939275798117981480787999504236689444844892060106348461503496947626798756744376222195976657065782466612967265155537841259647593038789373205066732621958313932848832477434209259207955423484544631117418143157510990590277396104432800086100406625950962891879632054645457680218613797696366668545077275703158404131841192682210712932595245051655388962496764737175308527501392078809166602289170218184244281765196249872749924406121701613116322155113634566982793324426651575428464245154708790292223455690453096117509117205493633929302122599759040857860888586801926363066832594440070220558301803670689182773142860505215446826968840538897744936429869587706638090029634294342936952199173615914191329227982416500801489426395048218881146680640925995761
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 4,005-digit prime (448 intermediate primes).

Certified number4,005-digit prime
Certificatedownload
Certificate chainshow step 40 of 448

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829755093 --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":1100000004829755093},"decimal":true,"detail":2}}'