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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 #1100000006886660678 2,971 digits created 2024-04-06

Value

3086567645507855892883575955390077759412839271998244860751001901386442314884834855716013866101268900947997534736573599282091275230269042241477230861363300138072329524591893997570224096491106172326523695346215973645770955086104105148593974657961216723264023785954738002678512210305307445611702645986839862565555120043881540110899360702903062971544647124235411689355791658681725949404276879468534295487516927774828692328354130946762951637143588648262777144220494348323853923912021235100119849174332409495351345453263968517471754137938870943104425005355000978461306047323346100564262335220260052384914598601516854924828060861526524488698163142441310682697440551132152997068746450397445277542245536433303586667853251365556712345919555504003307486391394816749299366085263127643913394762403427180841933338776688116060605540064048445346157975954330534998667323617569144463739679580363508294731142863142709814719339890574097108888482144237656540837431838793439189878633741731908438916023208238021150302120521394859688025631326266955090459571385201769842231289742407156793076847437946960980183628774862072195099711935231653111527414401185200771513904729334711417731739040828728653807277334784855645746917084206102422472209621918963034361095543404077770622488901316234497008444465505507376060726828061456202131831413771174776886327505838754986618719553698592413871724937799442088583014184207762571486426653155439077592735859361184384264519399242281259306933675688450383545629924801784762452236444100558316675230042356287841385140718343619422658610950158515056676213823347071675534669249504216767308400426861918856681002345559190984884348953771979575441980812413519257879379521933225027259572825327892612159885369211956340070897231860362034049903303309677390350800100071680509390285768820122040360031730358507616373115046182002573851054609026121362451013480411515009567086580785276881482203785716889776023020916730939033873027286578669623359417690015813699673458345127338278519020691440814052345980999093818716824661857562261348337702999065031368086828360747586276851553225797615182450071306776505216473475778123778780558035083453628552866023112152707315247729702501761273032380709751656859807815595412701017475153558670497740917932855883749267491177093845754874854859454044739052686476320291751125265600926943958635287307771129045385250720641335994447088627811412261492410350210762921136744428033972977305605905974841891250967622452192349713795479519048217330641176081425548216883293040652212495154651345338405283576350284103629048651491488748604152381444838476421070593554604935441214647242481984612379178852963233387537452029674306789771607372276146414865713682044665484963746023272982117120793248394968917455728143759071695066429681191716276389273614905269835150463294753166744346338131792910082862576418237014755087062904536145923213450709564751219510511279584940149812770298056266954782147734844181670969584701609035988997319802105212888004118163562102449102493506473872604167
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,980-digit prime (295 intermediate primes).

Certified number2,980-digit prime
Certificatedownload
Certificate chainshow step 3 of 295

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006886660678 --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":1100000006886660678},"decimal":true,"detail":2}}'