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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 #1100000008823081597 2,388 digits created 2026-05-23

Value

149893695084001192287294481404492973929655953662864489455487402928419979732094531583418101191830237937470002948827787680616605833939874493091250633531716532307299012691718002135626990461995985669612914902261372199920660510717334858696430069978188562078331452245713918416933359622876551797536983791967534097317373166540984539755920925446964360032184170725463671976024220555905688625027517051262396784249615613929251125076742727405543650797987163887578325028009281671281947455836313696318040837026880685030577161194915892527552917771659671345017898210247964936959610287849345709611449036277530782788206311222689911130028342568456452531675484188733874195503875836256578612361411732539351142368447185678997965207378113840642958822864091364001978992673564458214042703821630931890556218388351964521773447185991506316102364335777537236739650559932232836052791327826520880533946707491141371743598024151552101681193243968449546198992956292670343019946425715186506413808604847095363391586875334467003163062314802600706114008402785080453267869630419661566698469635949646631952317973435137182849132305010783778100631622187564369870674259946229061007888058748713338425435621907196976638217834181855201402466956832050461040645291483358777141614257696573465294455933078563107020953243434312108582124434825851573336313571721255185668883430022799280456576626326663968323965528890875733523405930999089478614352661286750762342398637385584821320430661963371694712821231323291900560653496320278859429955834283540065566736806086120882208048581855174520285198471738634892110724829785242604573811750233705152673460362562113697622554281856294648147008606832250262865236382043311661523105907828197885254090719411816885908376986678349473387850462215449568090091223795023117797471775711871583612359813670136532032401931575601055248709116846441439288361951057934295836875570467489606695939216919664411102197045012308888145205906225932151867943291404976965508765291298133193522948543399253117382868488716330722660146743726028734815461740183406760296735648254004559257690061930294109506521862206264528479443760146586052816267464948746252627466104787972256390865199895719047379480159500809510897233657390531500967342218140368220744181243776495655739437007146684697366574684624873507075316291049158146156652740828533946288090882652364764385074122118049138717316414268091987846882167062346565903802483375637520586077511663
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 3,169-digit prime (197 intermediate primes).

Certified number3,169-digit prime
Certificatedownload
Certificate chainshow step 51 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008823081597 --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":1100000008823081597},"decimal":true,"detail":2}}'