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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 #1100000009115726368 2,537 digits created 2026-08-28

Value

42517423426313402781091303419881715142968652729865907114493111722488224271640062847810220408255955443358717236065433232487217381210888971502178977067079412342197512269610523205073211520819645045830769331057843230149998744738420289355998419534778166348176676709460823198455422071963023163517430040854528439529987973188299420791077087531232600150709264952978986479339286914425456613043842455169029885069926413509162744373654692103077265860656603053985053843923202395719601258251675018127877358320481847255764884259942028723972929780071099004960734438355280620368449307152715200637923092911298031818931539955582520376159721045271918390812765763124653467942093432396099691251731896445074814617958363452256854027628966312409533224076869438995389445010166548138303608501848373396543040076950869511357914574935366519398739833309048732653689493372421336820634300447701806148974692713992633345408102416461303360066605119690252808927155899820457584428071323564973419379346186325160994406589933089958165665930352692054637171443432897633035772156483321940623275559321232854889438958208555619863452703904081047109720136484280157678006745788406053981563206787189078572453565829462341069609032753390209275977719486555515283304432409759980802219847250989557380831819641433730251575602977642325968907215383528333463210438782799136918786725504439329713939958434277948703573192781033248951808193691749890907848278215318566463914961975731700394756114628093393265043982546665673360836796467036262908248110466921298981386884613396376889617891710706030453472200753286939516810340963992877952772363440150323469202916485232351181398351444140918182068932021294919544694954561533261416355449741549354994313160619895277239384877943635957119813552599723560432134283956060772676965336661668493737048572231913838546322847396558344385632848995673817427928289173026079731431547321622647640336061734071976047614503813999372042337133520870978071468282505878473186508118276361340420933423208622434036793204609304596286671794161403983024078208509196149633705345213721678914271084725374935557689842547466343589913218321638360554079101669771350432398137985003072348594602771829846526015786303853783474929960391203564486722948305795888550371471879799585121710194716232461732770314528977094202690181249711433031024079594890750133218135688303738304247783245354563519944857671267292958357915584080546058592388100957090076037286204932402034114533379139142750011662751905099725787660610536014943941523040048231950029853730506822178152244026652361887762627859409775576476270986224973
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 3,052-digit prime (309 intermediate primes).

Certified number3,052-digit prime
Certificatedownload
Certificate chainshow step 45 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009115726368 --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":1100000009115726368},"decimal":true,"detail":2}}'