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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 #1100000009015013015 2,237 digits created 2026-07-29

Value

42837895487167383288600594474018464062454117097039061425105954146190380050179582086586802100954712436848215989305578142151443873178632677120063331036421982290032257535910567018350375517425844949055406205374536148648369046785982153596383773895277720411906553930172302157231512464330102394684351179799682930498888307183611083934795548972573571830541863276892649657185809527784504162181154783903001249006732833465914489973308106846737346775650748265436931653769989963176714341336445027478135934378844012525751049899671520901743749798050330146286828034786942724830736342439434760948492495333180121191196692830348350642118905127850178791214480290443200401984495587511987836709743235239750001000455380353014512092886289486046937789171050943443426786942118569606173072987158369382506983867135692326203520238074835464993665947684709758266491022307169268747303895882908306677634979964037951126096449852272593609385437336772238757429900381798271453964768174231862507403222346849472537765182763885876497981867010279319465278534424046137129077130117145790093968711726830981836276616198850537620886166139561651154229908303820539082676291451261648095952277223710613544421222174166291766092566268597360180907202845496754877351743810891588272881203763485104872814844192611752854545730420988069791600658688118709492303102759273214815371743010203819941685480891522334774232367065495041791830936519999398167477060328897660827025876942464167677544408506700187587351726174816672853086785853631837739181661557642165354559666294863467409639317657408586205618936100658979283417148050193095154172839102934234742894363481079326724285700289544889217238704050636297774532882005719408287577492483537881168083443251607314821838725935596428074940817286358735264333938630679056664065644358949028349410897549121880348622463532893792509446847069533513105810713237781306632385192834209450710347768825756182953044167920254498861096520553991633787745186387527641665552695316505919183360802315918181341109033789965796526827527032468996078071430608660662485152160379309990916031942840455693012002612027843879352579082116186893127188674619294178424968411782183442415997908389824770211505278528226919406576064716688288825430131376159672916702618250085105769493103114776329331279
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,702-digit prime (196 intermediate primes).

Certified number2,702-digit prime
Certificatedownload
Certificate chainshow step 36 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009015013015 --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":1100000009015013015},"decimal":true,"detail":2}}'