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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 #1100000009053961347 1,981 digits created 2026-08-07

Value

3893337657412582738995282109581756791514072047434274621763467538974687162491968517924313416175804553286931340667813479193904295881103004192814307090551654111681654180537773130062165523566351926844029744231934756677526632960576552775404668967676992570242664935878563421212306420117419347872321060488720555810210348317140751425808513799283460777726745236208944615197626618797150213562261603845743843663827427575945767207379269993138743065769551248954930218969110640516334028881304869775624015634941870827621417469807305266502565544902243660690013651497544220520567300656068938832999075420300299841195244082413469562888926329976867014814914321865958816005425444687054775271595536978197621940309248866889930947274621502585395859943314687645545955047123341025629843992102885603397012892971903248710558070686786299156347479644239708027768680012954956811295880764704064464085358539955994373257013388477386199396763963680098864726859770372596181277691310029628389743908584736933057863255187639117784247494603920541817820897625645899590468585310914103494028589366263212897126691499801412134410631323443142229300674308105418320619703226894222112721665657491159151742719599623068869186166042381882141584130497457055498308834801069191576326133052432993001549934322407779399670320934474065478537354182952502628503604118262446707503579599969364312541707383082879869076788505868593244662550218605232704233660075133461339509089210366720108149241918609027949723150504575413411119078516068413511349522079931680212473454011789400842278127148406912201755264186106965355903886933524142263813975452338642670299364463893525213765772928151167739536047773963975240627441670432661788199895322933872951929335391508842799848173042801991596887460350702198088040661057957238578483770400983707710841576484671895310348558341654909205207120437191766933812466757556078612503976024533992399639218487102816030672744860784775809819273852880781817419392429280165895205829099002745688096454482319276591732894474749766203
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 29 of the certificate chain of a 2,306-digit prime (174 intermediate primes).

Certified number2,306-digit prime
Certificatedownload
Certificate chainshow step 29 of 174

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053961347 --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":1100000009053961347},"decimal":true,"detail":2}}'