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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 #1100000009130372785 2,547 digits created 2026-09-02

Value

172687233720000676054391888711838411462236790688006427224916731060221629997677414895595984284619648907876491078384404460385644941223656509985865849128640236603701311938374748894813344503431483518052203244615419305622868019442281217384299989850015781482521364333137088908814158119916181724307074554530591379311712427858060948584753785914090668963877090650736272703650587110963088330568828443415401353414976223683992806548792670459225319707785763825064638243015825531745802847480535817270827160543202783133802302901696436336185813867244115718455446650496163367498695429124581490614954211621066233694874416740779017242713381689509472179234725293998977952110890570653734390066097115044424628935740333737766365744590693401786884091368012909713857720569099866488599409466364043916394937178124244971772353190399469514231497479159128591011855969440766510197319153336337172433513851078557664367613991840325970367691645099551458981585486512076411860154476628918210250197630671763553797551835994197794888744824668849919797495684092424740082187389105154396432532089355642714934410545388613781500141249927916521559759905056243706246357661857017381994955696208957172019296646524654992330354740362441561905906614442931537194713286843713029111741329946100935655001714497364986006334384516345778863327931960827811536165144042673285468730625605303759880020614791347175865003658763574709405181120909123228406776940340149119059043097030902414531076141343520082210163345983005579159451667089500595358009464915318368553225117799992950593060345832859168005614933667219285832464637167647562132197487268965786901822006025452054583471807939538593877624380179604915577647065581737430731652603410246007241427559362782548493881218676021392007174106921316306210054398037823562204527041927660270432700971959649794913544510138753925101745466710498397621764418719434851714289168638355535746915540578749280842536379296755099943405395625850909239278862455541554981547310726930820495651564832908379446958003305142578378923653484433346128701830077624295782722496453227656580696040894635598528334228356673936591384200006904680037954138578639516057012783753978310629431538567223021691753290324459336257107778986805398403630195441561392613270259621292880436155117649174057137570592138914760611779909693712501033295402350159613648175040843327033374190691580921990586362324091885102163092093223635253138138634261958056893442900349010651886188984598167159223368468935934774727347557921177815095408443223731753888080892262185647229353218987628584449094336123126517150625785265763607760320909
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 57 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130372785 --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":1100000009130372785},"decimal":true,"detail":2}}'