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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 #1100000009078003448 1,943 digits created 2026-08-12

Value

61465576689576402849560185112518506140728433275167670556270845648093355356613740835262042742444070469332498411286422984652543053358515953839464520878808217896824762686298731723629569519389078775360353091819663144716798525079728252075203671223679845138918954551913973160511360946671350721553972534524218926115257002976794342982148530258069822756539451700315078803486734144242663408218907217760799973906142298172679375223176766881218082495683290673501055538701594196940165071386860106304499039296405937415774839121215038879798245419184219942306519225206833689522806744284783741766694421374206972877703181204644252496236673930522733984246150836902163591321641369803785266393853756832692982137909615082460611016295669252513370987115310902735889293202984099937638018404468691223446631661501164283806252959381624652485006158840505175771383647051640648897436436112252714368421710240961122335057840772201594593107642503365323460747030914081128297261699977403646460750034690503550959980433106302832575402917185892166893074394998006360148977166782452479733382832577129686387121959780152370792703443301927123023037087958221746165646218018876716388677707695863483321139274291471144230865230009853179533973343908710991504264870824926884649755632317472084212286065092089823017336244898853057145130746610499438017102627676835626301630312831468125220878509947273257385432886996005379378641074781406571387714108874197569721461822178784457567267622502709831986136836896621000611645284805147291121232935908288344367836933852397121950160127446217242616743411315093726952874305027898918571782617862071815653997940333874119338686046531813242109524339457355815780848786315836738310916494104437119293170188373417281152134147010245073858164649704789742923844768159934406315551677291259838576521230969529847458907580499276457943747258205467041570198109294191199327887745704933112915812457356753437409059629213315462603419838830133718071584709639684527252499132294474041
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 2,145-digit prime (171 intermediate primes).

Certified number2,145-digit prime
Certificatedownload
Certificate chainshow step 19 of 171

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078003448 --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":1100000009078003448},"decimal":true,"detail":2}}'