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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 #1100000004828084094 2,695 digits created 2023-10-24

Value

4344413659279636636530764018316771605631134405887198991524252501673726577271555680172447371166092582835156682910611763424951473211948820314225625442341315184939483781107441117818890096448981922533283514332833539030489522562217824119580451300599691834015761160682335906696841388196709342924216640163930394220206336283525754105037173033972635031823930100213142481159638947809966812665416793173921218723873731172921813192619390235440348474951918124428066879040169020819602500663354954963983735950573722398729786820767427941116511224671949968664938819025677313065015235991518213195465007502369635685960215759750267741869034724123384807097226691167224300187302258282309533342008689454854002028836000905262069594817427583750088738091459952291560757607839998274452846544199524330201426437799801887821608430114693580154737343702592496063007033817177188292868168318895469231503335862075090021225284552990762097119549475765876667516896688630082028615464557857698699713012388745723301658930643475211359907528041996155811251968682862342542159999302532470559946295644267241090497134250524819184598727921510973096569531378848356778480447806674125334686580333858410100830021053826700100452337439831727550219672295262249296505212916293472276833548040528148645093582283459139961394322725302506914270653072218443194293798485459320792407080060252172477365264694662623852789998139725282253274363145316036963842891889188918365983272869155660011123105977460924987804710810127939777867395763171054094918109284500839277560728803108150316903702747087089680793108669698811314689520561545832848468813655898362799829999618925418327081239481648153822354488785726742934231189030057767419076277632582133069802804365367734207357321064746330696474024739245054243748130299277922427718293056008952125335825353391147567245327618203306364127051154602222287561158745139369042526493461722641085625781967284310165699922188324809056477297557730647258720933969721651384858524005645140300475644642654790322752555686715007407761747571883046585455078863567468915405822795783274958222018481672222242912823960158536004915452834631003150598190250114318691810387880439875635814998741514373085029458220119976489938405622484818392740855339320239975328617342005069212845945975371799945972014738600366182358404052204203595569608616309155746618546649824417424438504139305900782178415796736419300180828894440595167793981655484082149965107323507857953772892786065805408260982278620066167651006891897754194781663756570497423183249683445208389674936063916960193117596484196311401157374546148337792196885161205555091641487383691604149392539289651916815330016674393864989031064795911605575994878337210031137807665606439154176510687407741385323041999051919
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 151 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 151 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828084094 --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":1100000004828084094},"decimal":true,"detail":2}}'