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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 #1100000004835848112 2,248 digits created 2023-10-24

Value

5318923847048391526348983953732067307421692216160431120188539331245572283279586627957594414485618951491009134067138789703143270795125308911335067635138444334567588650357073710982884099263370221938837555718626419014059347121619667988329588568674515387412944720898556720172898108457355238853858346924384000926531544776953843609888313469395527738806899461950495534362472607542529271326671064365654432459208006693321680262525107384745879990641973800559950186078947101417705367312464239538188856392364156275073891943327605227954291803414893000615202417008124845608443993653729704909981408277790419725418843335476662183731619245378125544466026141196686130823505491305467352726151233973091589128869287497889622516029472524353172914362554136486541085944690626070436487688924402391558196989182803764790434478311824916259619496262736984109199567078324090011024330101827313569007652526142327655824422656817584562525217034435460883355804582385029145087826687717972281775325152507338393484944646201502861882667236526642080428743297155231177433164572528418487904106757010434316827171421184309949626971421617170096033731750886734355397084014216246638937936208541581754486804105822660596788741726787253854219163784189542597331773107600826652945021921478038225967419919201518212178856559901045563398869124562743468849134852889163725259612074293900735655013442672702602947579136517810159429262142233502664315800122310037066031000928692411068756497494720763368288778244785986789103203102873650047573887419508340624809099774643404064214484007490536751923679204490362374269199383359793557008881759273763944912097238275234867772887628399613638690245672060287079843148704814139999246604357460705196078643897683739770408297392011562530461103397973523697108054646466198868450295458458624466194972112400579661562449065223149969757601725691420208112106791810325949622801065663274778357842255694793105514846511695473696621542554896276815929108440845860057503027024523552984145428481596961530268054190638584235497600044437268324559558231289303187043882813651424889305420267165967919485064252481625286005242845124240579989811849924982025984255736195289587835989920755751405192119476914685249248992527130558007675527719679323694364316231992451126957133526392970311168573982420779
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 153 of the certificate chain of a 3,683-digit prime (410 intermediate primes).

Certified number3,683-digit prime
Certificatedownload
Certificate chainshow step 153 of 410

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004835848112 --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":1100000004835848112},"decimal":true,"detail":2}}'