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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 #1100000009053961217 2,063 digits created 2026-08-07

Value

41055847216907905580882996929882072578853996421576144648080981655249276896641759014661337305321434231773449362112987485949225684553394828880228897850291876745621749792797031965831999581487044788083443433573956687117695664455573390469450256529997997023895365269887281354561971407104596620731182171789366696389620371056127458730409857566138079391842975939498558420975543850871994661251164142431655506063077008939716984311446533956489755110463046293420974171498790621114599313408058734198356877641790694835222615644952300485682454446784247714657523461477278753251020220008301468670516673117207427399668423015419903311823050378685832585346474759184308665524732561816907608255505938776213638237091388701403243932156223853347260845235635297859866059760041487208719807013531476238810806804317286408215303417157822859166785188549252542181518386310488558346460095410783612776130748907666999072603520963052196513913944800598118022905364794584756181257232176807617394964486585256552543781541402592088204112952530627019636551100622556585719081916300674807521209424120291315867564165603643113822255141991212504381752194989670766289369892419558979494662202428278632571938305140304060730519200422249128339830526956874090780137091599472520044253508223581197359342063913813125000414200918643135351666677460669742498308839211333394149221139889713066739475503145609270699547430340214705929177007711083838930376149273476890849432316798593939760671620493852270716090899554399181214660800226724410802772639902587933478040802323912443550197718435520768112542242916068410808296631735328816144647265137318447147543763860424119986616525866143683963954119094192026236047882449489526956027593018066717031507724458697458692454807021459999659326739536090786060752025290830958723777463610533997591723140976110190879484524343196900475806887462216060491997236124862741750673887238744188461841987313701631390260390288792538173604006521458593664466472509361839731023705628617429363676306308277588841404279596302568230129472108516304343950645970380294372890408201266284561255628618503214484921398421
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,306-digit prime (174 intermediate primes).

Certified number2,306-digit prime
Certificatedownload
Certificate chainshow step 23 of 174

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053961217 --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":1100000009053961217},"decimal":true,"detail":2}}'