factordbrpc · fdb
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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 #1100000000696815842 2,556 digits created before Nov 2018

Value

317080618963374803609056112246026984050308118013502175568513520229161507055430424589094121864048091114777970837575866699937633301291795539359809833144204923499599517676639851148405213013653058137577036594543834580953499659255134569707086370825318296855661705601747278776417933037477152366322697069667793539702792995434123055675898433782785974220501704618536895297655256367800790348168423629500145660951784644203585387499472715327517228134737279092820511332962555794754668249493620419904686508851694307994427281345200010271973127582032210669768490606363781866503182982246443263007789813609641706955247345103450837003246860505614388993585529493243549295472022066313105266610104752556066820674663017575337971954607528356843720919210150458393111628065864662090457559296976916351132284758822382188254847320056137847106038626315238000206011070338950825986222700847427341550168994730275740886901814779924685012520947364151142298320945526723228687014290642190347231793489621000634721940642069672714450790856047711869137530996503618579916501700715239815421653954337766863596161757290880111058581909133709207718567399327571842540045481265615789385455491788879758515193455231732753473117034942669411178425776803684965731360511504091681989202502129330722751979313504961266313441904916558633550898771758052091650174325231628337706211882288097179873190371714149321617977561680703954159261813104835854248569199253732582251203423306970630748333785458310440144886238082245875343940286697304318488098177144165154449159148236926731230178232238044653950406481607995209609404708991614873997392024432367332912681060461194976416825716462308670260141847035671391575827412239309787998508119288876895192687021173208916910628058673475523204986298807275069538840655621087931190632551675688546197432619875220603458332787597581903789391971313121106598293615932701727007787452493198234068364100865390120255412575134972213896998149300121435712123141920782507761128259660838979711864695946498370765398700238228116695195828249167163942775336662149550808691971992295235134914057086575610845283954034854507237188710608701536321589744225006629316171654442668282540948907518418444071433583610599769154565637526963930326524686155558875045336809646111019316399677068742904972552317125969559781112772266445300539084678619566835549374201819830897509943730938238738705551136513894685167362237202673503306815748753031639830737435571893867909274588164120357801335521482386807273651984496112654374686709868563295635447294748806825114893685785584660398360473872043774871479085186584195002978392457916161
term (12^2372+1)/20737
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,556 digits).

Also proven by an N-1 test (Pocklington), base 41.

Certificatedownload
Certificate chainshow steps
Uploaded byRobertS

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000696815842 --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":1100000000696815842},"decimal":true,"detail":2}}'