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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 #1100000009107220148 2,363 digits created 2026-08-25

Value

20382751575316965629536371502377396295766856375105547211750316313058033889271848680442257610179253976515312608697539831821045144993628724673607014650315789970555375117770544112023313824544571428653417935512641566202961084241685825499473982894641407848047462246879532710449830637421457334939239892803342955384300474904569551460630633224226887443775339283177693045519074371047435550802536754108351016388083337100672501206952608391789037007133498897215064830538294082154798530831247207224681907722892521194243138360567479534828664546276901536508804092919376123265454272962645092237489567931885870245002601521730754229070166594775611024430913436125312527691643894605359993651524327582526870545334364981019823070979688210553510067984918759424183943559389937565707408817357803594985543958830974655584245824316316549548256015675391253044113599239528950472186233750210461573959903898384218267249047764459540418967810973995688982452666802395409413288868706662762311360591727588226268216802947413427980618208281485357684220798442472412499956802590743221248601713123377549277550923398542074537127396563756730628727868767590571284488546878590784530002826649979934041386695669314918817274633847810264745308709797667001498802785301414281787172385427847704650063537847474275799492685956848208569491069363303320112173754768253727622728246433899270378091352648235073598967212909706526386170336602604282759093217559818842474241486409522454497556165946860316019022980964301569269459723555051217889476115651019374747941906793188207648799207209949361690827858455803584852814272789740772006745479648574999539267614328179204493513612621709390514532925396839793561146576969783276919244629201862745469686471898267037152022202309631954751061850352487955192771975969484837164726708771733526322842693260715050560135679555403459598438251581693886972156790169527116901068085849131417631600862144817627420816247578919998518909733375857293667226154000522534611790990931730537342392264269899164287972688534751887213194913304247189203341705585553984822184896959387805193087200475746833003034113384466025225984989472021649047879288595460868500759278502827671761371910434989941068219892538325936742544568655149980438114616537459233066668124397500280698774610814265311583111872180512556367682393670358937339288981735756837084925512507186399756897660359648263891559663937355925968466239556868495561137
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,998-digit prime (197 intermediate primes).

Certified number2,998-digit prime
Certificatedownload
Certificate chainshow step 45 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009107220148 --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":1100000009107220148},"decimal":true,"detail":2}}'