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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 #1100000009105165704 1,848 digits created 2026-08-24

Value

268330230733021989013316661011875391943125411685232108499576222227487098343428719063473903897690166806995389114705829391554609818452646303073984320767010590360027049396724656723584500896370589838815964139132386378347988381227474003276366130012528871481304428716648134611582859452365007719251414446795183421376282242881464034283354017379087466124783252568097596107326366574947853167344439615013387761875079907541544253160275910075572393809008060020322304642167487567371372143119260396728541720969521048447297370063312234992990302721938409721713557451157355662152228106907599326586987356160787879266777042378465734187702790730510347906851024593709850512184290784688791610567101457968630424451866750226003772302141821671154976051676587974898379892993546750573224601412386459332397861836394905861165774094354630203154552451775227325927333262908751344535525050297017543959584975293292662144250839707024273236125188828054921232299678213316051219964345416888295052460630290058599566328485616760196466673538364195970603706516299088629546597075459875423595705506398111802241225990767866629978549094649048145756922815448178278035270624156064855322474643144172523420356424227049642275622498832512042678243401813420317581056025043549573929513041785478380527872241196524368523193408943414576060493323312508299952148706594520775531061869588192974477046314016834115269628370033323871522502805356030990430886236460379545994918851262598582950525614313700792396409394207171331335896265121623912534971524701615786487085693917561810373662299562499973731873127267682472298092540767313597550047859693044681941300775288569127087281241130621034876617940971002730571922553142534619038373161889079319246540283097605080516336486423167636391747979093977665692570132640535810219457811424973509228489115256416326130495820317300212895053882865067806807593583546391969436138503671
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 2,991-digit prime (198 intermediate primes).

Certified number2,991-digit prime
Certificatedownload
Certificate chainshow step 77 of 198

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009105165704 --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":1100000009105165704},"decimal":true,"detail":2}}'