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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 #1100000005814624665 3,334 digits created 2024-01-27

Value

3114355617894609978644664647959389624437971842642509485464100607071555421298924799911213184333911755714991263654554111007978867147720915029220105462641075758858532919826401738551436628877230390764485928433209086094825543283720893701216563999291126400281847462445462426732730465758826240649557762108858944813041167529920429664991806445868071843724453594479753203415089792884212358845087433075434416404351716445605341683946050266996281107518777723288055153820695798081009850081958992296886862651244743153882539833655609832870609504039379474007638203776068349178987621203751430744274033180319471753976646241873529535657518552649502551850396566980438046165441313573054897649406062161232525148306798229089050777956743806736168124340939666672821343495281492532722150555913377942614457844398261451264577687859043752524971268562095254700182292992662736116703164205335225089598301733534809143716238307978487287653655328808207910611071181295809630702210965298634803067858026177828884558606331764122850259395963847206300743601699561284965841018757258581768449746691320360965740480142659382218627501413084774295121945877987974401193314717951868902207972446937771732637101343567678446680757986641996551929195927518422006170399982797375095226285790905503523118324151457861865657895939963361861660904021165742682628047091073012821985377326808363918770234890040905428265187220636427830245262649818731105454829333676268450524099617003190899840379830869266932990583486849151227593048417805124740520920678906343649649494326130989390105881209101042511395671090077082942931002974609649080023640105405192860646372656476775252282592639159000515304620272613848650102530620475257678853682784615529003976656353733968843544494948108639740496169522375878237911110879358571926101523036710750443360251889691860841462954403369045448314554557759248455475452518279032523578728114088438649284093165015979632273401638141076893460279141960545535671893791872533751114399071171570162973004760276638224471363461855319446723898122480513767698205123743541406504611574136858430484073670066464479890668018695506322885234659468237240102993148483622936616886711041296450728151012987804325235602327985267721069406231919910253815801752772615809121861968392290137227525912631040349633359271462238692269612497800214487902994403520402014059465913248630026123438258786909912950262188514895661967800625150403516813371725003284216800702205829449803278930816650162511416266491367714146560503443881172638198618571938550590255266321399156583756314230952031245294109610789152166304356146069908156057087319459310733179760818458088447482147582363435053439377517941861963175224185176271301558440292185456494082372660981376345923417681218609161765531193975984075740469207903876442486360266304639228188737806418781602229665038024840434382034096848894747717098011295323054170901351180011598090730181121857790338766818128852802533116534191520629787180357301361554668522868508781682779111714677783847206685629453690915119609985501833663081062068424764842155050800788736571893923885206404911606683911120883571277028978079640251072303966136443815629271390813169798030492871244621196471796863557535169428540957680928288009463216293496564407888226113955464115224331556361753970424545589314634225144034729676115603525239279744412906288563465800561725845718932403377119230520679491133858362395771596003813
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 3,853-digit prime (239 intermediate primes).

Certified number3,853-digit prime
Certificatedownload
Certificate chainshow step 38 of 239

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814624665 --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":1100000005814624665},"decimal":true,"detail":2}}'