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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 #1100000007106566032 2,458 digits created 2024-05-24

Value

8400150190914952522432259273255912191577186871126190407708431426907181066068495974375521703204336970405502782432264034734984022018489635879963043972156430895305393521216080725770579851681650907755455347123441160147626830622315425519794940679617179418193501304470439072330185255315012646112552417074778352630195611328708135231211360354706492773111533696596075433163398869753919108062348980936787375844530149145139012406325845935713046631092168345091759953238595299255538922124815132930329486698386570675687291483708694420632485109469516851998275951473626454358004305951768259072140730162674945781141452149144843705688531462906279034460910684090850772574110484821305968726690479467628766042822883184874670527086308534022596108777844214843947490128228345592971536951537059926250975944065640066081279810177512098082200618742385637964554617091764853435186139007263671011084959825322192083192730368086058414990024667741725345542368804174228175247203618890628710211694688188093305290285403625357376975359515805400938856235583325956458466667516154343043227259206058364943506339382116365503906749325818110461918698948460545096124293027503023124358946459265085198023215833338448718829274622860820707166949595704501745479945089379790955887713856631022769653548128664077024549099856045639951812080945467802646688167091953803203689697555856619735195320313341778118774394369464963739469024516444212560811678047796135782712501725945138372569225331364245258855638756761696343992285911586446035824410296061653703297957270818761877010973033724705221011622659429316283534050805744239710178901038924358490073086246436870726755564641830805713579030897562514897105510975486752938827717323823845275155143371014606885023398369010254501531524080830125358532266656599729134899094459004714467124889032127025046683833318447046591225981692346144518564795968961486439883611281945511144786692643479347729494327477996156664475653083046907291468081089639680228486463225995794366296193507388731704059566727610984206175417117796027838775502915009202410451053265017063009616526743392881580883695746669918902283540401051786076728461916740767047897077810329769001607010700085139570951038366133364661731974394970281392607547190949032687692676438105864870152385096582715924212469714896021807725695254746575661832460509300686760800136814475493095687718117856743323284597771810182713809253175298096456404006634887132642858760066457386225213136521487570612220677551413355129872696348985810919041322691
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 78 of the certificate chain of a 3,531-digit prime (255 intermediate primes).

Certified number3,531-digit prime
Certificatedownload
Certificate chainshow step 78 of 255

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566032 --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":1100000007106566032},"decimal":true,"detail":2}}'