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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 #1100000004831644892 3,473 digits created 2023-10-24

Value

13427603661954609909761778744863085999928101742285100096628750677894500863025472123077782170173364716966441650482275730908717395547793401006259057398317281638425544892619893215121076216450365684857495063169935701769272733339382882732616979203447369262560504122308987910713685390161272004153298535726578007924103260691861060967295968483256366644744415701045079430558723411740998918506379766123832542095111674142957287764281749672313535713630482674816080848750845253596788406374086546293664236551516988928114207146167899582862229115687372253891609856793339826926870056109990131807218887216382902716639241044228096309302232759804123895222887216317867957939859581252004837553823528581065393643243164369986228851916028396459308371873266546282895365313897783727253908915451492200138774526008634869539183479646248464061900446744368797930713401651931461633207868549648571477036562003755826640252111945187793931034488500657036675641225212978364961249353962277912019736740319217996767886549608040818172536069356286401198341408320425759740364156785912873170239937666591638589393685671718669556720837355922639148472685580962771457544554989700080687343410904470043682506989667095825849124294472685104312009876492022252932112209623778784015772382954743707064708295395875122373138973763759867117264762095005938285234938926555972708059785659506000978581949551117433315465972731821968528064077769067217357966936121203333470510409719802795437892988662733171656681738230450071263101669794329200400353459546759754813805410083115651371202684672827955774463937571316823642670930236233299240440953781835639666174799140172215961799144136860014362749556206606556638857189091966527889808404437745783721143359706816603670722259846334254798675555928234044277171570113500749052531498911236759937163898930155586977632037237586297343389577791353343441832960078437801658491174688100034081367737045946569040521107168710232675379391638791564915169647681111950385965292057613597872663270838702529341735890824961215504273826617181676458332598283718187548790418703723683199123423852160291186328220587705211180158930221195401772510483377838269344052662277033928910466492109186233679200306941336715019491052549884169122128738238070110036819799754919123880318534296181149745860802136043846919245642985912083953485767353106900177259640158108272067376156560385993236905388004078355634219165315619631510085347555852400477654510664093947518565275306505173831604057412245225456624046650472965997895330299562169880879888284296015296639615325351324794715628258233330713618814884311434876308797193699725054402942328553714284369972417927841355914481067320102852790976727979854720934020488326375320233543475765295938648673760538474423555957314337400406561573343449892878269605668253323326701556779845282864274695069110156465607073171649341317688811468738371055764813518613706633986965085423684182120723376812474026802252598653455308191407264787127537300168286032720144993643929228877985229159879518949950700749829774165058163733769805004597408278847508919256336505283555969304757315445184526714718437210266711143977974176149132749805661438759084264724346122575428513079069384855875844957677265404488303039513263842429101143527691155742911498778212750987054865521563765021967571533826746634678440812158814013612277677430642663474289189759363447841608754404483679014491148263884343942839218145114007620135272960382798337795808682118340010468256684728338699326270345257796151722893197273687114700422635481943927644405315702993
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 50 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831644892 --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":1100000004831644892},"decimal":true,"detail":2}}'