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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 #1100000009084003146 1,902 digits created 2026-08-14

Value

878426093500945711470962621866615908259662858694836635766541324267194046757355131341511446831939687968910122756070077560137943380189860812483542683494089817540130021669677556856377959738392859643239452995375170742200569187064387978227990264028288150763281366716261340058888223071816141824543880065200271798276536904635553370417515446690616249408240858774011439914040480698842838172023933186246176762047428018218008746844706778773675684032382464257397216713240487505907011589485780186400711607364999054646888112425287247567951766462799116380788416895626894426382583405843399369584868990453213455465708040140206172455567907658342901543695997076562095365239844599652916138253427277109370890876499595662116854555512837230032182070097550792862451561441143731798843336340929227599664067849744578022937403181303918342453197221618528096555109726136340559934562411826117439033503306635771449221799423308691720247286481502142428226712080138143770057532979062644006659822897636040242666214915116693321554636323206436624347897265444841042614238404754987629902687248120211208216875387651540398065185053678405845528796059687729207795624893481958814388740578021512532939226264282602648090312628091118190477165446087407204467030353741505284566152564563396113011571127326023510371315929901879665461852778670199616211137965325465154211792116735933120717263017584297641509055253608559078176393592042313395638444856780878656979458932572644540171718514031181227613298626732231111727968098165511804763467797091072048110742400893930654664395798743905537302082600310130028680037164769106782277296203532890372886482684010237532069944418281744382037766728430797355640481585258612671336356738545413466614111507186433704965516290475065728480152856717324861284002735534773358149580604799991597770977267918206294461761674065037658955844126400872116367817504707342918635312518725301462938131323261259018955888125061711085474562965583
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 1,939-digit prime (150 intermediate primes).

Certified number1,939-digit prime
Certificatedownload
Certificate chainshow step 4 of 150

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009084003146 --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":1100000009084003146},"decimal":true,"detail":2}}'