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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 #1100000004891139728 1,655 digits created 2023-10-25

Value

41018124640162316063172742800718151767836027551636960656168404234823340345121649596413110430272188493511095292369339233616571076986154692479923057674497454321087657925117590877157108121469761739855227059288479404547230181040457287004485176268700036598971189084190322160553519495116850147166377901691665751222694382668605625206760822677968483070844244787524082706214604867572649898376747900786373720877402147248013257272573542238713326899265245867970455847535526716069522694147530251102663623801158511923532054470714227431046889576490637541572476752992257935679411334927345444783188620995849937055716086137292079316971854988180068267430140667575135996656115315010849001774623777898936739548826393793137269513842591561589451688123111208920413175409123158057645027781123385239924840969182589733856800953530554082500848322347293586445084479814105931168927673256396167615485066651763485484334016910523992655643262410759693246642439819632866321539047455881130305666030716620864766885437101381099373894754312409545159186177525788799545191886271130288912067918843767620545909517432120288629842270849756246212332073715378372969453095540812602343246897741222712110386064223839693192791495232937747467727771993427750598789917146256807749982052469907476957251686459316669355556851721121116220498937517099315838662213121029603291366563534867682642534977715887348828378292077727459361423436513444441002372317172165756877052085722679950640500638364872361383949700375435116010085083561276903247147815234358776318272380255829674238494087911523733521221620109466342634618466126468564511311227026090202085691800474085465243566246749748939509392988202661129585223698419337877
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 2,240-digit prime (172 intermediate primes).

Certified number2,240-digit prime
Certificatedownload
Certificate chainshow step 45 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004891139728 --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":1100000004891139728},"decimal":true,"detail":2}}'