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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 #1100000004853977186 2,737 digits created 2023-10-24

Value

1519468395881412131959934161493304597448382052123245033265139941398529870397300783697830213860884750727712981971955309069644057165424330279864324261739394747258509456155296683757670768684404218299671995418856433817464128991377953725763518023425835153511009426418902734897931777317393787151937634884546801685901333365238973480887316390983364012356575897019842042748340287234444709208332304974289096432916635023932945902154311355353527372828466250747530770028937532359701444165767958912575122162407115943935312622396065122389707041300698125488059503613914381902887042008159165915917805782060239786050180597718470008628456440206976610689794750196040341053734006095667349517356567449529173209060628635571266249007595833016951993103195166472167007171927954806259589235082957844114582818250677100682049021924377977682655117951670800713178309041777416526157147204645222058866936033904965542180169972206664600890116256341469339597220063640612213292534096254030742550158883447275766902846335715182528050016096634352494266282749729788959939102722852202073252887511642645730149889239801481395013478492737605099332062228247559183149907087406572323076380699012415444787549269915856883085958773550583238735265816273263840298808799469961741158067724448007643377549966864118701576617030345462753391810491094825536365703394904387275280388284017714478124253114883069496102398681422012230292373638285637672407818485614593509614545699124213660194443488686175548375422884362252332972344660989133829482601334570305664934335396201952549364125707584581095437389520830744566523957439114514389107275706792800811884228475214661582453184238056833976656884347172932432782657363278174611887890396286281236497169916545033250192627070883096097674257240506788010262086653225290904552645642036481633579759803021390933465248785310510204874569030815495394829419780651566809043740031172588070431074643797436244217906588244075884589908706360344703686241563007982291439080890309826941451602345906411699833107172794149724335297096552084823447125333792915867565016519710279367577637380443026145618734571347819692600205701392625389037832883321353206718513903903206291430674579098455481858589452088927675788291115076523745295138540225848015750446873192742553732646791425251089922311291431655271058289286544995475023452696020027988495057830068416543886467717924737592600553836039616955353564474624730014985267056484165438280953394942480839897368481368051860401412070728829361571566218198066163759329812380934137636660626513978965450717085556729784595456047510996644792758913424996178068415076041122690206749024569810765589863721236319621896135311214639136745698490413686640554095028660326052411374943825032633009965737632968773452413030043861083459011914481743035161798756003765071
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 3,095-digit prime (365 intermediate primes).

Certified number3,095-digit prime
Certificatedownload
Certificate chainshow step 45 of 365

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853977186 --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":1100000004853977186},"decimal":true,"detail":2}}'