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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 #1100000004841390586 3,126 digits created 2023-10-24

Value

163853273821616776467043653829224010619466127530066987903201295687775117982177134316443628820579875150026815364314945587583777851679405688834710373224812560998783624905351796187532466905252108548091434021705348419925969987976279366005195972916567491177090822618144603135630437985575916392826285029168251562788196194715339817719634736838383410933365892656732474043233979106550624009517546960298357669336017620217542479407151128363631080299615206534293356143664350070955243536800939018375521112581355667541744028724387130274860776269202133023720055558742436530904780498006821311985216693902937290452306053845937565279344067145409871123760918911084206769663532039355086086763987949273360694484531896001206657441819664460684095227820733734511975867404760521990627295364567806163177035246349097287550629300223479140494853135870276554590287789012085493894733184015706664752500465435659865933151191395463345818012020780824723854147384708249431453055061903399947943869070602507325688250634552581539311606948712012814305730521203600319253289608757586819389109586801298828066121214529610089047982236493602122730045239156189669489579438153116057585890982391974452133493954642452209241827039051040154709982501582878788930178949551218742323073727225189799820542055790903894486210501634596658970494258718030651661728648661193850903824657983986213123943575622871091660927910252158353889993040230169169922253779742830637645055114269001845928809304379373500259168070194696813918061265296613794741593109196489052661572871137570774882098997301752624424898523177509327585234953278569413263227358480465065039673618936684751164514295648666581223831643689949830948929404011160647574856924891911573764380275503182105546419158550507753749297747143338563913642534273031093987132789660268239606245900664429479676907299195967750817481859740133207454126519454164379082118050970301346836544673946918157503067841116706351926036929032674220430567578164034437851042602239575323575339678153933353655406090089162677072290590509582006068324249028384134671902933897775897315877693845922523129101217292398368799541621797753660613323023322682205921959882501994731482769745138919835792613242245998612522589076117142420868395198305005126561159946469730517331065212377569257869348179586557659966822460267332237383065906125487308505526996641138316766920549766972670819909152622793653672090268495325547184508369234915887111514209836534220970667500871709241398852233971649365992816576723960201905469242109761269208504045975227697762643413082222008140899309852788330242980797634430976755683641861172619205809013678933881275792197437795969208820048455904543140219772909435092466965433772796045637548766582190318316388250530534052931408327887653950919486694798690373281771311230385168052707510421134534158993049374778564054278312685594907063495215050887654185439409628101747896908073301200173359982707718918683114553137326419820155238667007431082888129440877013016261094842344505647135008502794990438264313320505341910954514217508500387415261478373904479961152532809014753707928609134233366747465832471510892969161347501126509153417436291652378824149858853486835449326245731
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 3,443-digit prime (423 intermediate primes).

Certified number3,443-digit prime
Certificatedownload
Certificate chainshow step 38 of 423

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004841390586 --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":1100000004841390586},"decimal":true,"detail":2}}'