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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 #1100000009086009078 1,640 digits created 2026-08-15

Value

11021370173769997439965513006153690820249646715304052740148209943441798865666252401597706875655340668982733746458574793118196013131070627096264371970759315703767686235561272485088500099973584113047115197095980002419107960233490747030276215962345337981279180664112421960080204717030595493371785062523822970114485743031009439597244220294387600124041164882340676053324057001996689818666317698605417166793942328515216601985113308872174051606243593516571707737195551190572534502819784764480431258225299307021964799251254340502000451227762936868579216986565574560925850302261512134398217741658240914115613283467338191421842402931270697369420896454142582510932681131647815427676998311652959552102801708284592893571360341567466735398308906843041704735193677214554854104919804823746967544356668141494427472321502346019986684581597125341776273752708996104893426869831627245492096825655957974548458160710921868089929048066688818406197418053183939785399974301750701212011841933850834482445406294411547683477246993462003900643261560675717219191397804207819798685018649697177612332336812895662113441703707066266235573660686176756252466010267482245988956033404590335952055094303549706207552893936150530422392171353915687076750466343433791462095272576761103754618067923494124556717309006891008632834830048775680096772998092130970701541649538399674308443420864224404653521107720070068015217252025226057852739991289569353211461316017336388592669455599040988246932386192536294215984889214985875518883835678625793042580712999909796208069510858923747338402758508511577643568158818176574024573708189552047197223988259800974433952946637610967449586888068664764827
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 1,964-digit prime (154 intermediate primes).

Certified number1,964-digit prime
Certificatedownload
Certificate chainshow step 27 of 154

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009086009078 --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":1100000009086009078},"decimal":true,"detail":2}}'