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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 #1100000004825568533 4,032 digits created 2023-10-24

Value

248073432441395662766565349230231925942212173834118094257643210923696236970838212993828387307280614920366426041018044097049311955002000060594932323516757999455323543485765293785767259808996795017826459225367650984097284010061318205491072975182836289954348460390419344255666685714449954530882270395448968359106334809263241293632875209250367591567449632684301470485604508029860695802394794314494346896768939382501519849906492762011956173088740645688618490893035102619208822360597431774525082863068634541381640065477814105966114874563762258928130874189191730207854658141887287684286516587779489218984009355300382327897173714753835520017358513245918629958406572159445125771608013003753895041580980642392080350426167038531549795695413159783767387514195289172002062233049451651482770132189751909610525292108992104715927176952969453767195066008995832275021500395187787070844506164328650655057580371650940781967402668563652803884805726240388878085283197800955734843770981107182877992361935603508393537946894903885803257125492586414923712027308465409144955629297036447345992810578823952885731349299082345408750764298868891793904333661338920380802849775701880723561351208923683022625752201102718134652394378035245988808480936188271088928291663051446581627734066683351287385924190338471016974239738826209790072928456324771148046070983257000906381874396205480559110842951316701499327458243323185678773838154872007364176712126661739005888881464215363519206534230208177503765408788421119355103219135412624748862236960908086049576316333559058404138085976466484404724573862810547485071232388976511587278295274437159583072707873801601890941293834103545917521417887816373854151957267743103908465306470928611127567855426571870363691512402518921839289466022236864937625253209268968263873664576084492059062552541247089388472751779054750779778871075778643568491974476294433569745176052525079634958673510944803382851930718998926815865655447594598007059671234556832866393793944271552026271825103728303972461010766441790152521519833920153542152625876492965198140269935661977932429015321659542077671100135803718109088291565450234637628619672343203356234843967307679540763429515116578856872920753992740653518982463104558696003348164070189617590089211654465099045257101181601117341090192334701120597349639046168574007798834273458077538469251535987160958275130727328225105383661403860297258168116102976545085918013550469657268863927059772852918462294427247664031000389851217934973174201712349352445396382301780274461258862339392225624169924094655106901645891851877550827477112415883911868509862095062275845437529612515564970627618644881375603952345542371325020221895815347493424323618578792397013639297339611199450827971859079611130739903215534468977105763372771158513622325360351973965464938534964823489771441744248811388993667515018800297329513046543580240804421834698176069560593648518759321755441033311142482977764145877456922541384509618777766608044824932107709817168263668333653080147579299350928064994238144966644772076800748470125837924595914127709179623276735148317123816618587403830960422654511646926374145211643369472948911601302148054350741220949820152536696387730919216163586963561018578235087848029819272498107749984541017612987080081613196704802057622044637609940611068643535150863874520936112374897273220444019134907739387644444614916411421514025784704919048920811165759685056857380489778026453966389287236043462850205540465408229566515195067788585736539288612135297188883634233383506373193265834348462667193569321325157411176279594458284136013736931821194785514662067156511081759651921910290675160822382143196874202266233383239638288178148025834945302160293507955977222188248929970670305842633258192460712949198621755843116413848267720370998358298346208731447715262652694769945810505743795421057834073091457754105140044882630906950396625731197926478004606501727373903953616614261675115889416047400926845716361769693616864748155412898112761863346097046094937883581629118912946696562707777945151278674189883351156818952639987552535592968859036989
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 4,312-digit prime (574 intermediate primes).

Certified number4,312-digit prime
Certificatedownload
Certificate chainshow step 40 of 574

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825568533 --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":1100000004825568533},"decimal":true,"detail":2}}'