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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 #1100000004857157988 2,961 digits created 2023-10-24

Value

287164336363043829139053638345741949134705132924608815092003689876956253335224703564101356591850213844688860473284784884304979808110519775127494473672376970203831997479523362212221141363644466033832376809988913580351784717172272417661294513126840600782109139002562400759341876718557485868489612252052089020862171184189403329959139256614381157980370938019508525897748555849688740471710371235316977360737992487115815157174957276335248396087776675210725978420613507229417868981315458961580741877575470576742107279229790035250690788344795890450310516947826521283628632612944477489294873937269348710054958029424793743055310364216267441284083631118622395581238199815972260620521597526918664961149167796749956146765855324842178517166585650158093190454066716432770959137044818968369187477521265167145530864835825361116297242127358631502001241506794000361114869001177164625214121886469208501245918828851584045978470334427761358919485295194975946300391523889689468291222420641799881082988874988375884036897396942683128221333244287232744248860185392828307418428966832079044917712736815425191900871618193315123994022726157422868680260466111390279486912527514847231267193194569093919184936102159074091447609239065505166538549300233724769605353502819436256987271358186206291196065247079839751824461904831476310136362031421716476097432793299865062384202189332277794783242983930146498890794371851091250391515805626455762157187528257470346277945415447027831411777391407086291890378847968012264573064738280191709769666402437863617965165361461552311422080893152950016021287634881424701708770106727146561363008190289332608736339759736351422672947520259988586151181375197454380112204409283192182650125646334607203947802618000977311803053828274377029136078760393550856225723520688700267135334423248266472173365164446914056747217763867081230585270667829561594178232210249488640970099208409562401554395903779217177048716907734659068537360598017883867070281841278637256841997844698765927824625408357421889974488935960168250772681041333127620537686344578087110462065445213362026034503720978410274028536659275411519307190990728649721871173597968384504148064218812160546493245739202138382216339118832467188234747421901573933557141912721935779008923169282516023553791117387938473465992698894387108192211807167362889578884615323412464559755268232125016479705933642741861735206356885275391688841310249066987376319633250042203785304216003280568511319798276993946532189369799415438242667910048585290722727885233207703515340938907509995660951465695447231164350643767872446540280505348238332953642466287247240095770589368631051439851334464881786002886867569848390806657875370436614494810143273116064969323971889547692131428301311937358325807783067292164847892430727731116280014082859021329452379199564917213413307492657387269006494471849631308271070435199010436740222021362579923639593784583832950527002533761809502509235472351512349658614359432784420699966415650114198174208172017349641142627083
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 2,997-digit prime (315 intermediate primes).

Certified number2,997-digit prime
Certificatedownload
Certificate chainshow step 6 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857157988 --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":1100000004857157988},"decimal":true,"detail":2}}'