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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 #1100000004851715679 2,460 digits created 2023-10-24

Value

116453542543301455820169659886432361467385734645111601879418044512577634692901350788405511399344943958835706223889442096249322759368333557487721285815830129935292520944675602407424009640515907525989494902094520905118739678891825919066791019422262618495355567694612484565583202871263609702677402309285449006262959952225105683001670555211527302862753159754940679412383535105008873883821186741672096114448742030997161217853265884388410067210324315754631913025992006677405114094049469724517803508636917864932442639173715924263412962449416331405750909625774778936977160102376607770959466301769751928148835261304191232832314096195704937265091070753046136184093815102267190267897611233754818105999457132076503855097712118060515427611559592300207932490505145474793467376704144452752328782908201977716348098212642684852707166562953613381061214718907122002848279577075676499088550311746629421232088524107741958027290274862135615974851717638138400367044927306415651145876112416486053920411086583218373635220105518257167502957474844139731093900111076265275293863025789198285496352181588084943324496178946622505263237347790738991642236167513885538493870555497836021478236836938328583310422828701946795086162095698484823610169443319467795403765917770666659981184287396537711402946199597387867053462576873762750467692229403123284595668272670064856172512577732221198362207009751014502249259959382357809688455431043965093213562868461849691079451772984554695162443038228503697934970849710889577704738668974634811595910922665668286750122654849050197901775043498963041008973469550885674826145479502712122227428682205096411791316317485785291844703224449451637674880103185957640107263767929423272784362927061970803608521070196185761396213495434455405404421832023223695020894836588653154370078833761075747682820164671519272198944429792043712583604888062532722380265268536004834435447875068625285537514886133104400059777379327773016237037019141334419246175076712295949141188114252217944611468004114666574893102628626317369546109470322518104965089870454128780295324775129415129186333611423507774502123904812119434766973486476102280025093576056830224525385324675511070798163916846956004067290283687914923226614673173031109573086541850237121435355031410705265063829862310884831187039402506439802970192288730138705979330828244577765403048606708804307841299459831397155961014209594138753691573675361384427581120191426385240382029674883779633847552320169147174550812300385776235444724129157
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 3,179-digit prime (345 intermediate primes).

Certified number3,179-digit prime
Certificatedownload
Certificate chainshow step 75 of 345

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851715679 --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":1100000004851715679},"decimal":true,"detail":2}}'