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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 #1100000008805742409 3,099 digits created 2026-05-14

Value

384681983250061872103107350074249601902053260682516953714033568776358227078578086825986354967134948623626388425320245980437416907637380892479793263168288276317231088052430686085809349374961343776544596823570701207854728486324635065080932868059904069947137564617611512234424895741692080224458356843907853590124717233226324841574841491792025677733620368572563726312951676986886420411904247441552129028034249967955430889447686569412975439332164327983315443052701566172405604614297689474105449228175391916509991332776768318893203766245209282283733082902124761981660246925751430881563865172385275199997663181278991826384752701217421697265202071854627691977430320799821886835838284821814103088001376486673940172168263689093751531656574570259388196595815296722364725267929928529317860469850473332681055031659723533436367812083279721052698605010369099854579121660391264751739941290941984858993655595343585221319321754896519474518095954775676474459140414044836792214048954111579955709529979911672226299359504817296861739134728759448475660282405182142747880108934895498269018038207426962081769358903282530385280409677636697222824688545111147300217379192532822310137246417302611953625498500292402680999677987453553795709466956378572922482064235547807337843127946212817831405416213192005009278984221647569926798354625169333163254335826579024348871714138041804892790202018886239154937170001811823436875229871304051525899728303734275948131621201173446669347297607999565997035384011074668920370137718831030835299612379297410648663799604221671284505144652788994105295267559190336498130747716352592428778585444143590416906466468184368668094380842727914595165604787707458164107644425467686210128144030039214660458909235021593161383135400025740787277157890722218434765067461835131041398597740767520394120854657605848411145306237452833578660751148794076284501201131383032955063751271961282537925973653664596689461895233038151566998797932029788374458010199344099271636803230737587092467244453795642629763318957468354436569514439864070855389913333373767809554975101277860557115239585069351963864873242891004637762555882168429563975693893108332905479189390170975201267845064739101914366769530380403693371748798616155262418936951554715230499939112242389348110019947915577760120845659326131456721000570237423355983292337641157489672314372713292067704579565242962897024939794108279725664996423927414439168121514939619438538078791335465823112796666481255052795831678436979794083545164828541307946436067062828251217303567765818225079461733305685057525903443466535826373751345749079027391247739765729416667328032311687158818026392120599511266607984838565482565607051196248192465251342057312074661119152808395538930244485491672725601388074834513419898734112194361151037089667883458824451208062745933573729915560391482219302264356558693352376977800725815344479738978242572659931401618403307288618730839120711075606262427949640662931989481035592929105094997280508409658136790538232061606639470582060953904246269436005973701026820609253446555640014021277740017875216911384075675808207548106539182965421534618804214988327513761421197
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 4,479-digit prime (285 intermediate primes).

Certified number4,479-digit prime
Certificatedownload
Certificate chainshow step 93 of 285

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008805742409 --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":1100000008805742409},"decimal":true,"detail":2}}'