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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 #1100000006985328431 2,708 digits created 2024-04-21

Value

32624351843389041467007193097429484658192023303399625606890116429024970196344725571815544824333107159855377987601996772894849888479428827167117866991257141265759221655089069195131188546328679722624637158791023277756625783376002845598269503550684269024592252367821715476040832690803521063826059275518119972876939413934525489954270402614180085208158223687763796712314788111091639348004712736637030972990839771795822276848264324668915634463036616514637883270326823755605481158208639638196316118953978460136793206786849019066841716088680769125197751541332455904585126456919001047122938116797761319205225030625791187669889032104487244477543866484679467015895902477319760152243072283592138297334824367215896361541665209974654300162477170469735963201687013817991923845231480557932758959026490001388422048758815974454011432917187026162883067001298745781646868523695545196388402355818478897900557835399719791422166380829593394937333712207511820436564421107297262572531476301156730894991000874934638652752336396385586381767540030078906387310444024967799078096588275705065853154334888530821561922774611111300141221710918444989381959181070756950293173069855214397802303353144418701916350263319613569712546153277305856322766398984919297916221244450076862479104767011606216962146721601478967981534589968849121658803276643391275881129842976248680449978246498400938454880829253530960071736727702785978367044711890649771692345609861326493070482532533219778865900387412852340376879539878911582029258442734186863707256167851120373213438158851459806949953034413137092539449694431717733607756357223555039391619117156868065984002346313833526376120983430289066741179921819699520543451222342619895456610994147957905007928067751333720767403341943160797213209391331928420199759308331697350427027866773940573252575860081190136259092404722415712530719544837170033203680849814177341216891314389977087810472456033374247784965641284753047252837400560527175948334486169900057904646567801223232416799443549203660168516071805565638476704872250926183931966911915143567129771849891437222005654081629150254777928441561172859151172871870897344552197297040830779940779644015489739565679639929655693654891484839216424437397269042684938529349097343307236750821603999946894767039264707875429106532899071564512733212127378970117795815734617182900310649708808154681324982823598986698507081709329710253015085981809836419868898439530135620824015667320049981966261570029749377907540506466044555745291486821913318843011403568088568064571365202441768974461487897420985220941915829110166412094830663090080415626646135450772454751400706166985834032346421029641819089703926655809586776236115719483579824555672165760944945302653881882407022801836653519517541601
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,867-digit prime (317 intermediate primes).

Certified number2,867-digit prime
Certificatedownload
Certificate chainshow step 17 of 317

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006985328431 --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":1100000006985328431},"decimal":true,"detail":2}}'