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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 #1100000009060722191 1,914 digits created 2026-08-09

Value

400049899937285154325618556118800746304883219183610899727152989027904494901208569824586966840482964486616217257000360070744650555391067662967269888678022221059175840942124509128474475182609053595375462171252077293695877820585781943000247074811127929790257800385809447581114030504694668644906055385492160233429172669999335082553282564344667349649352356950388436920083966071097821212889720684570649926359251544803252839532054405901994368192242479150495440484438859107219505507898268568958566314602285509448812163968831678633018070224617580093480884637005264415673297335490149444176579566380759404681540243863339575778696098217143713201325893874163115930483213655617312464453476870323549945547462101743510606935594802615953717840454735888950894946970410320235577183830019894922744381061306268808653652554593211609677805367346925224967089440856542661158575983988608878308875692239312176786866234194834515842575084645030867790611452227864246690696508289464445829944669242465782992919387984641012348732151836410287925111678018649743741100475552118166669183580393548418341344673997734900554932691301200967401944648324707263250445046411821102128474786472515042918612826669743633329018348952820874261784725378668768698295532783814675809855203062672317866775810790007429937693181760689687849086834183577408840248074171168944051393609591718055482175663430160124812359660255979559780166866825550663621253551633174492529751911767498763656094458347619524307700965461643358738778036511172490310901321202414709280541721119121584736249399027322774134345090270532411234472076617532015078392529261563553360794913134992955735866036472610687602407397899651010963779964091914985920870772616728253012790818278175040550929713908323689851624027819488595479644278444355586434535829261472185141373328956507564260622861729368464127877435869596134529928724047959068104095930788663516392573122398776791562136697583645780352370095763577597197491
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,557-digit prime (187 intermediate primes).

Certified number2,557-digit prime
Certificatedownload
Certificate chainshow step 48 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009060722191 --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":1100000009060722191},"decimal":true,"detail":2}}'