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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 #1100000004853867414 2,764 digits created 2023-10-24

Value

1429620907652229768094888322266534901724175010806994912416719698447616371888205825272979573122913804133929518279290161989412880627454945745089368319670129604994916584623706288374741965407933746476517805631523687135609556368290433759460704771555770009486156313290708400175661884228758860604797300906547006438142076859391368571362230157523038495373764747280350554288853776540026722582775203615465147296758310321242435861274155282612788936116171226915968482524345961293826480717882630268925610747379447832695976561632570122299369894349184158153457963335407870532360725889646482411566996424155238032089256143226054834471415662928831839154120774546472046222337163750081237106304185391458589989306389565616546458365839803318755889452622718954627328564269453712146378070875304029401443998020079748241996482520476380165914463196810356811795819942910649662695012594966243570519372545951961711611370837877736103924477974428239660232569867247981121765850381217579153206270112010007811395459000430665718246556129602627555417273081230702077767628795559471752472852606987688584361979604154212317706575417150722325781496591554712006781982152576202192740107580764987671331668784370399473561087072290505895949703256005897952382357688570497849074823456906347081606989385063612484312402144544325911466307436725635023231089323864566364115950475331706381037909481565796021977290972189135812989784798427499336613058873719090746335167241172445974903887385388527516694514278206655038726727145765183304538997883920627605107496416207533053148464979092643225585763977451832300021143993630968380229878164119758423692164270390687323242502504300204583953563491158672430826750717433923510537886384803720292492320184536631207067960608432089291901162342271925218441123354232567665813276722122559901783319089858321351931729234687766646308643775205976978134470537820864738017607016958434587444498754101655549083372515031359968559821569118313488949942810618577239521660421615654110422871379171190744480532308335780035516313043371380510748419967990259493370132649936630680969926505373791407179359804714145392495638048789328213356730245461022530123495983044024472456861473330008211524751209871860077134277968864173970269886270268430626449778592911226121793479852145513921232445488729806994421725598657468112883535379256588168146605772668050226966633349816236309983022512313166490202218556681899636048506473941187590618024224943716395911782725713614506825915825261714209353565745953235810922541879171884743773234480110603457994787386217221885852433438211604018665797202762147670337871311328336756808633187200553663197053906185215788880678375063684460876715005134090480267548430586815779908792602645998831407070701139480027582714777913134064720114750258811345441037392214462069823983982747110270385087481
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 24 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853867414 --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":1100000004853867414},"decimal":true,"detail":2}}'