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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 #1100000004842046443 3,304 digits created 2023-10-24

Value

2327168716474679587296146439305516818550773607257753677005868370187519707253425535790225347644639340381610423097412711869614661337008171091763616044109522329543787059178741019512220893348806720431348191352617898271306968858507579346169304953865353316192369585416441252218277580289217621656645606781900715491416587229729776433432815900714918728270150347055680307966092882795632196908015518927363721083289363851167000606858287128296276967034860838134673990202924467410609123950630339868157967718534003376428675240661284107240848287147436439025528200369928314175339931052986059797263828971271119178199897614048551387138626256796217724912225590501422962187127046059872488879839221896998975113090190425115239381184838145870767776040329057431792820684205595637876418777498778413533274749649702852397943563316470927366771064045386726309028921110594995334239048100177399192216386155050054544199172117735036594038806203001136086105692968815134543286652769468613310857091338566805858087241663502041271581747519972493621860778241939738412548014427034396393015603670410203665494211538444463585543477736082671082125168508705794128816548945186517159795625868872258882459527280421727410626027154302161438650339696052695448170172745064931193529821013670412018795174089712147200865679144304337119535851873165334783390468283855834140995529255974717037655088410635970086502904909599590770683042520422887144001398483041764315501593401227053473793709280873701356577249793865952230181878340178224399289086804473462762433162332538138649764952971194477661086521647766111458316181602488272832856003416417976934559554521269054561587988845365973989734412303821395698215624237469388165891400118056611347567896299007098606693197371821344793439186086805870930932746661270602194436880641108909470757235322452448641195530581431479649480980961225247224128230541420574647058059210419002323943945941323627033634018221298835413437886530124736579876064884570033823279523085983255289488522401287716098671948268717628706894120403152352812124215449940441970475960867883778842989573284699497670424669037697604235393704374860926970247028874411268093015861933651358979405920813191135974220824210525469914952665471464277619903472625030398008165535118912618565612627034516624635887687349336452728258281796381173361252492490952738504762118011830622166083523535436201921842267886214187555521674286188795270552931849642136479693533326310717476775209951098282970542046456595416773947364438363797635364283517870661293536137066440567059154912239916437194807757431978041904192313931402777919367088195436168210890045130511000275391898332531319693433950075779198346051904992506528462602484411459340573688225944624682701748448314225574432000563094355513449590382059476084441946185121008082063889204053871263132472937283147162760813017728344137526254688121029476257448788713774340982145125552202974490681025939880670758215704936525258011726883506355099930011569595079750731116199665011718923813966305592937128157516743920724182666150734175815455913188389321804719472416948275351170758451151294015900122878320356516788577850720488479806352035919789979479490664383788380723329954207148310054756370783453354877143653283871538979293434668832008277942427978705531117943982511287662301186388476587119309076593564769020844828201881758534934620983435275255652170195609
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 3,419-digit prime (408 intermediate primes).

Certified number3,419-digit prime
Certificatedownload
Certificate chainshow step 17 of 408

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842046443 --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":1100000004842046443},"decimal":true,"detail":2}}'