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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 #1100000004824741729 3,867 digits created 2023-10-24

Value

847223996662180990993071099706884467630298401664352439939599799545609515506439116916288673474271357952329268432798190568168873059541598531115320798526965869951689885867256638134724925776122865594598476327438757286106872140117687127050506806231560977352748981817225901516931935395600777833407575747049287837687349501268960226226178852434795852034710578219639575168434558248909162809739899714979007238520946918573147380340645092072075527726615696752236985128828979639941030258346844285850187189039518021417411289406317579875528265274783024226248116697602497956532788109767301031271039215391070284648267354747981131692946618569086082502735684834505766358972605989921960932797775600850469417067657640927374332325932513428042510016999627719281445731174521014126050484990497404582310411703850210595865881984208784385456060804667779143768426660177376283507085044618473360269220735375733070122141821056187705538781197519659225672302222230175968427862277220522545066383498132273744172559497175881216554476231557777411675064381097369247939778491450514943145975172191197631771861808198727005521951206858622617326298604272870457748878965124519871945862846407074055173422894994080406876839735367102927792597826070010551893495891457705274980847965586564782795920281542023526961516287510389088862920089355850454454413791729941099693484985127721658639100311325640025693004727378326914203623978592550995381101415110976680799531587543853928965333935409268941196003666780228710272643288277821364287049273717649818915063403181237455195555498764522803024041638209175473128853033584127808281116506666714050425919192602676955932083981310530137869151624666218637602906401475773997348972257663180395230095235790125727133084046842084755032058262372623681399110453696640741187805255363991574077954035622974685390918429608742203744700195921813349801411641077026366581462538313340387395633441867364872406042340414416730299269646438144799474979842297796943306513201550476516955779023043510933711479704935989939113187445234122066869614550995076123089720632558712584557999144500429508899559190871973696346044231602314239013382645834681046344041820947687353519033355448175188006755397456650643433495941173975510801513735672545522752818405450675909195169373685826179075207216919966477350271569199819925090729928395993747607836633631671095327102352218877321899157306718486661755729543389143331550821307275431135615773048963224167612958143470268197011000691107008363184079344937702039290281506657575054170204134167446871692563245140499945025068936249654401535610930139744127874061546879688532889805501267502425814634915170938507923524972110405761504460908800977931698041811393895492163843844466360844571660484146774936671724219034837911839211703202917611814711746058604500607512374831826602038366115559094101330520857768203949507413090682259242314579811721621324011763989857505913790397953207405037791979360749497237652726464789479054611424857022358285596978034118792408256766763812531224263869980616830866058977437203046118143198270162854446635813676609821250093675791974736124643237437459045337736649147220185919943801098264435928944356464256320479193489640139431213334280955438085987148965828878125356537130554491510123188106056721841978050224352015348721015501289693867367545832102148430804731122032954953640627144094931189333822963541376752190949482870999104016943321369122370861719682286111845177105167643305891191492663641418850061253567786579620376882081338382043380102050902637288995259320728701178230259641926827987194622566258788857576961297557210225152866711592973699050271048433386624491261968398730204126453538955509920701037531641553202626617917709580700434831819471768623631860773789447553989397114810873715011595994643504913319902856574403792774418718381487129411267696961292841709023880955012406797492047894707577986841358701003438853198270716433350536912121303861741373992551718810941
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 4,406-digit prime (480 intermediate primes).

Certified number4,406-digit prime
Certificatedownload
Certificate chainshow step 49 of 480

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004824741729 --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":1100000004824741729},"decimal":true,"detail":2}}'