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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 #1100000004848753288 2,540 digits created 2023-10-24

Value

74449227000323469161970936272535392002844154614636698846483715907921367844928961305559801272692540360683414868998798756410171121256921455051978419325776221549801006317929462833181396686285935049011127199504095155842353562528735973883500829262728287963520288303747895002437454231729749786438277310447384805872755939618865618446290879604654141758077347239375043180373394953813777020363678392999821695592985301473953140421621769967222993420067372024496615383515133647396430024014202702630194378882583401474995108822041226872230378394295417405191278911311100152580053656696408585301774652881668128346525007893554030827581886829058657630525579935765160650954126406583404455970289861317173581377740677140632488376195042321900504549072198259363327536392057021397355019067631720630715440604970096442970791515334066680095187848624135642132184189099244141956783285833190912710368314330495305784884040908600174522204216054314186094179219552911888575627803795549056565752586170159677457584600279177741044342066149638739800758091920849436602245427406848705849564645254626404215229569089487552143264673924465446816582224450762309474272826002573610584487730024880938064915112502680592172216256332160695964069639312647185563476034288544341021398944940435905942906805530577773499432985929610625220500843098734879440175166384003562161003833611462826032214682172369050802099556010319997541253434861549329599681611145790216123854702099910719517586216317098942447963317231157798129764900946528677744824453322910076460263073165471156638625597680242671351165750250115824490143601289770056081346739375750288255692599819788511755220799737837596988218227723616569734277426173732750876082898460795786211667737506886511653437394892729528847427316881645751169602767092484553801844306333187666810578701703387846560900497798503277588596226166449359453988437350437934161922164350223112355736032528625499408771100501531032479714263097585616773901702046379682953848637363216271191203368163640753647874603642167372533165801584694531509370467920928925948054187521703314090417550762053752552147513822696856103613477001652128675742353052490299648197059995431254875161708178433738586964519340068908492490149553084812813159383356106306925189073706240462909229017291925985347346549278956188600873546237351603218532113550429482670745134599250737509695690487554537770943776174740964345401995955297358455852541093553753535517651212617059378916308388127286620386009505504734909260775665863138579381046152055960756446133076439950663037730402122815843651566715546978119521999994633631083
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 3,277-digit prime (407 intermediate primes).

Certified number3,277-digit prime
Certificatedownload
Certificate chainshow step 77 of 407

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004848753288 --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":1100000004848753288},"decimal":true,"detail":2}}'