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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 #1100000005725833406 2,100 digits created 2024-01-14

Value

464070350917062326201724007649424464994059998301066562674997864957843041329664843479667750763642469017488417442207819739786492998945810043466168895134283625338849940704848098407962761144206076838989622334662125883400727196522110027320299069922647678447215216837547985223458169798891709586750290365871382607581367471673390426275156363014956747324181244625264938665205589507386671620733955838222453645002926996747400525939511671837156092776267329414976265043488428134690433499524610565284432256608226353601482515079599986844304040592514121631358960766909182161386024841197897047938532306445972038054250563290479619507952465116685249059626803545995720026052601533738706189303384722590986677706304060978855020325045549918854028287991331498190135822957475826975767114866075932694771579964707687017944029476078647934277119647024849408082634735450581986896260411834599243755022767414301334685158028011941171372448510598697716921038264509951374887883592518368009369432568057171315647121603113221688027704222024402986637979965772011758611046919264024069256569752607929515514758997791620925459914162534644541287127744819863977507392729264631014569269548545299778632090383879651830815486850377470709539135270611636897154595714859769065931951810745854192966209198881952043199063172323774936144075909036547202772722522454053507253163201595402886217445396544264847107009354550555067456873359278603519839301646763955598412381503403064757790322636287429526103990331446506664682162951807247366598705067812303779301651764416168035827315137181522787970821319835280433438126046949287049166322617343462659186293794362616951346946641756222955322608537168680310132695344441366850213708911562669312223139096665245171391012318758839181220980300436929819264222535747134068992848355269039047505943602542738912126320421236256515933377727666154933553696319426897187559772079818101863603633706936396830509585124787892203358326289755655799158010209837906802603940089435131092194572570531119344137350680367067021848758013337665273574443518091214172185517658732356930413087297318893126779280878313147166468124461803999567824017328373
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 2,496-digit prime (184 intermediate primes).

Certified number2,496-digit prime
Certificatedownload
Certificate chainshow step 29 of 184

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005725833406 --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":1100000005725833406},"decimal":true,"detail":2}}'