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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 #1100000004893648191 1,838 digits created 2023-10-25

Value

33970726846319564620605513308599318386977901633417059434428317347438235045237688552798146087836275813185506326441536229644418740656821087433910282205500512022989690732359085973174432769754818040143485820480795829300432095956334713346282085711711119470189104565380168799090916919543466782346887723573162551534808699268519507444108372391496503875473378988157330486141508901612905058271294953997122888681686682660248603727459424398302536206724518807652729064895758683900626832876862851712621696252064659664627616035782336309037306649119292345572943527945298983463724321300043219768028206396380998816584113517336663669460172222507917148362478709541353166301435507221377276201710249589241404875179548688421920568341212201267736935798152880281299237415799949240217976792619025465744777409122924939969935428902293182350108224555741699892176124443046055739185111255193044902416953396833910941217203578020050206123493962452976501819453854468907290978955160071513896325444842872245333034688707803665912938376520994554860981153731581609223443024073285651392218825434543797307259274525321471988175430318186143044575360161128943533857886215163893002823171628647508533836023263205095904553127982391317552506787147073152000599213049028444011902664338876976606612568181587342646438014473987541592542976004466365354447368599387868748562911428366392043509875222967854518131429664829947257598340483031014017176572943610539869677900333630219587014031396011498203699188379444729453617865991410783902497343012093903598626405297840174382447999114536081976461429237476078360112275771540710026566956728639640168883889305840075982304919199711518951015801530573503774365140569538124117745928895341525891854605963598040943928705748055989008716658002581611482509916790827253002713339467950630845514403523305496652895944110773951548280198718686505425747239943585275889
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 42 of the certificate chain of a 2,182-digit prime (260 intermediate primes).

Certified number2,182-digit prime
Certificatedownload
Certificate chainshow step 42 of 260

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004893648191 --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":1100000004893648191},"decimal":true,"detail":2}}'