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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 #1100000009078199618 2,035 digits created 2026-08-12

Value

1124940246457476378146951370773378419997437835550076125712171525094415163275110751750995227997204931673209999889547302574915020784248409420676142751418267718883732740963642545922953226640651463197450328315694596420435112341776757154361634351094744748254087098807715139429869066139618055333309338043568797862411663447826296481616678361651856708635814897099494929345756763133992920824813575109518518818404715355065246213498846813119902119488375206430128186964475345213389053099406955744413953713542983645201178127372884446339162846226781340153816345574902548636905403839350598261638825947742603484347170718712820407137584016924944557639306671236455555905586624316365189404450691317997284641224594058958008316299255685039267896056619153963748626211658510151012926919392151095234812484608824811051880792714235566413606876772276243934355050999260177832071057433158169772314580139432495387948531164133434344366794896841441612114716939007960873298344881398567637230275964466266976535248766968140755578551128855198235604449744169812589260060527330867845857465236236301482369555814213508970973980838821464575885527082761774353923910263062588433814101322567061697465819849136672848529803477205782424345606919396874742187421313878854701957023257001040777752471066753417273018758984835384268185176319755901240258003143034935145391904922045051591214949073030409669680996848324812934636949892277338844871415570143737925685596300451583413723489988742491031766793465603340444064617178715552806970056010441882744788903383152466097208250915322312620322755022987044309731828761012755862457717040893490236936237199191332399782458511163036994311061552474752261577634755440057329110280258312991195979644103569681107496928905478797667369221859574082825581301815348209839932634412793048890598163113876698334136199182773930265152266839025141076371751069234768901846760718605030000536624170599997293448253404049811472883880567373771166285133223175296472156086149153743330872052008646998433212838634866333868275429113318586216009525792784689102964750585091971077
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,146-digit prime (165 intermediate primes).

Certified number2,146-digit prime
Certificatedownload
Certificate chainshow step 9 of 165

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078199618 --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":1100000009078199618},"decimal":true,"detail":2}}'