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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 #1100000008678595348 1,849 digits created 2026-03-11

Value

4733840128744724643223937146685302127348748623143589557789092624035763613749762194577978546238545470054627424703534800135487419058517037926862851747079686245817961439467569645726267591272160179488190532281497194432424008138918612064744005064438031296179596432065408859600190748007604881627293514528930309968911296997199561744472898122849333015211505941378216300376190010321920406360466567852031114970960650329941981251594238554800450140071034072114750724994725901101346135841815401314454937057739779842328550090639510182498402417218292411036532290466895537737035914693976352056771042979305146063325233121554547477851076069938718021915029086686385836805712634353881506736509355098293680992233235640905852717127643720130293455159364935513558068983449804277293690324086781826828279084008723847588724936839866212783500110490369158641921320579891907264662396235265571087985489013872172566783857546246530123155605256503058220236865310518342982244356707632367448141228118197699463129438614023105835774159932819817307466039658310433811153497643211495990411100104094939571853968262055899559422479736695218991670902887164866158206834213030865001719610446067142282650185463329772080985198683634509162018751749712585176877379945412845706272404879099355312191533028347377370062752524716911533325594870974942038963236157984375149536445290349499734914668504091087604561939048073866515589522434478217153135224193898031621646137026214106017268613191292812263957525379519220350572144704613400650995290632703147272214822640979871232360372540461497477795229305372683194576302901053035761833516414422597654158215263350357989282300534329317153160108642699129393107010496571208735537160978639447222774566161127713591850603810899154190340661887474197744457012772734762737463418667798300015870669089765005227834680432763767990348141757338605038636446443305799723894594664311
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,150-digit prime (157 intermediate primes).

Certified number2,150-digit prime
Certificatedownload
Certificate chainshow step 23 of 157

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678595348 --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":1100000008678595348},"decimal":true,"detail":2}}'