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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 #1100000004873010344 2,383 digits created 2023-10-25

Value

5708417347602759166102303507859878784368741228061521821621389800897924284148316034878670161388725634301417923983683078641279019055176939503461129683833819629768328589620498885123730790930207360019192950587170240537831361013857025292682363647626857621335900604286988627519903929218569103265562983711633488558243556187728195393862166928477601167707895378699950296340840140312844096787708189291178603541464098912145903415868670527112430502584988072824106250905133144350509766675450988050562016891157514670587271175030309917031248366143805778101996578856660088416176703313832414002597751136361826363824852473885131073243132510053638238810350978443204468522484946238691036216383649899475359572694368456527418256503588848492954923203917631607566581424891542303081623708374711723238668312975329907296197887566778567634772961976382301251184631167335206705900009819266250401937625272714176411460204874870017588710691242359097192700573562119432713883439938156444172656823058855488895063774778100231466938363517561955272208780140085235698463946151324533189865616621339601973650975400709146668729254711783439079101622688792004875061309296920195537520836257021988836114664574371731251236263346554093120259058912325289206553201250668867558200706748106946126783572485957069161498119506633698364901914416276488585392384713434758722435970622116762580560109292240189689224475500195060017426659757413753724070691667063145518817316448982950519114050197155777371676765907000533001448044697103021942015743991270498386131406459421280356945981988802087130869796320300660575503981427904486607990614560908009935506535082332050017215747182755742826697358184434478590530668754101084004821439839261575939675150840991272489538469066293047142262972604835338036779714792836975330490926559136200991802168255309741539114929152838859870746632334017105565085124562138564485731122194141665828416848921956684733953551148002019545870414713678302370242333448084831629778391673358261287424595237690885969702005743437517736602296161838534238490378802978642123878100190193996897951501595353099650460532397823174131181087171882537317810094168782659183750686785707713876447276484787769460281849766416384533971157273723494166374054823991904845883568668126724244577254391796749085250323587084632412832872418234555241711058405426490544822975487050109643246307168107891983048986087858162781547206233730502000407286750845579275625501
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,556-digit prime (357 intermediate primes).

Certified number2,556-digit prime
Certificatedownload
Certificate chainshow step 22 of 357

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873010344 --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":1100000004873010344},"decimal":true,"detail":2}}'