factordbrpc · fdb
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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 #1100000009127082003 2,777 digits created 2026-09-01

Value

22559320984706293777667214212726140729021968233893589692898866694673547147962766665202426351029499112326421148240583606479075359484986267487290776534419300729761814586587341641951672927374644651531585185841374227487960713940918664944319400461560515357300828129937108887885047722210125526344724965643877121023789470686030167318942407951607479923849448206865610038640198498019566131029577046894769924063447164013076593252945717669635097129735714884862172522885292476021428291225071547607945806583181288687360157594900481153773752256818408490194521141237638915802811706792528571830092007382976360392484933351852164467768564625909146644005022434055551539521322087478612735870711340077190686194458477477065637150712231456886678274429560956579323701123352807130419908083887634063522599255224217749182751684540086102865829621080593056085936373672493051932236553291010756211764912320197387642417841771937282525905926272081181264946032476072734917332114080967626073724159726911474901468698939089177838675729824649943692714194165343187920073415082590128273503706141909778741401557027684774005377204939328031479405835367187376008174998274263795615867103075443760990366585869230410355053705947705355804640861991811508706967498947764323683174455082780315499717246286366156046581524098175608783201641454531372885379120166810055172709142506640947349149559907314994173575950822629987473979247073672984866894785973687995165106458166589976849038303228587811595660785370727218282159017547598311859701156927668535896758025549663895949249866408038821769482097505385782295717600435092740015498788307136572066318068901694575003593216127352754813964133479001270672567471263383560539233316023269055155987596768127798924926382423960928309603313673320436511896866002837697126626736970335067299340515164573923072759328271352412557603534916994267003258949248317213533885169447185646487456144727604154128451438477238063051419549915216554338957220062106823965753016175969620760847272505783858136788867041317672861658514350268418482475763148381015290294205669040530076049807099512362500877696898083880383330750300513757369995726435533540013562191512420070537664866216162251625924729738027286452617414783520787279349257024898563844229051998717364930741664162804717063751458409889359073782008404824988932657047851442964338514031684550278711695799579242649575167629361033880168127776315375874502438811918772412348773062484960516031332601205406877375392733623879148360565802097159161842901731762814823044541433524681716454387087446173923193615296600933751315372943776094759109767811062093279354281864875623481371449095526077198597421022361744743186092387695063742057876523400341520503878410655577973069876460356413913987885184010362491680646402198123401079003536528502883077575384841786020065136698102260529485861
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 3,127-digit prime (318 intermediate primes).

Certified number3,127-digit prime
Certificatedownload
Certificate chainshow step 35 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127082003 --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":1100000009127082003},"decimal":true,"detail":2}}'