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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 #1100000004857688212 2,346 digits created 2023-10-24

Value

153286873050635051022043304317106595833006652558144998636190874591561946511448036477899343838932725679126734049664112434567684309610092577751139790210199479582507095493046338345435607490386371384749531320964711843034021607508246756271816699511390736900402898584992382067880846147140010525306254610680925154580267484520229735115109607888755710855457221417736319713150508962642925968753944945990647156949362178081500968870710248036271180537705257141560429436414802129516423292951471833331692363421490991045904461434327333031555939157279060852416302638549592299247778660981886345151773954530605248856584208085943733406404441108165128391783408434284653784488879980924990858535639145673150041101132544758880134207917589085328297287233234846283109679813852315410052066791954872392006195893983733416324395664567299198757511228151966609635141369739225138702133143911743771706325069280602421018453423403788722973155045995243415941895114300367988863280118403321287555026626209786026736108426951530115911663695470568954134274913624930594316464704656869140233419850126572639399447325893382015964587989272421026940043491807675238070226436916285078022641464122760630640262190659446733190249071518787368481341965720283729584203756951658849652677761602259603979641366038684781028972330758556612422853117182570191543979069772555437273068191119374798682032388662738186600043404704844154154696941920544050536947690903215080182970320339457918492735489761826897945550718520309716552307275888272401562848961453173995628653236519585389331723681694181535276913505606150219423456400934497021746429819758213679547488225616012251358258147805915307271430600109017610918349111255992288149768012215060072522458603447346034378642351850148967932185903080618390238113867174404465391562241793851961293164562989941422745545700075333713502905732152272290234575555590962882711244770286008106368188923642324495111142446484572815413309984146127457301856160674211393924632188088642335211262175866195660055457936268864405638955892576795510216064111510081380437949537829561115563396114330616322621156910903423305006740855595061942302284278297316711257550834436139863697381651296788214600163494370144739949378293376762917999885485706655577211648430446721388242576315792778199139228881836881819675422594257591084436264538909903138621272366566544006248561438330608352325821222697764232975199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 2,980-digit prime (329 intermediate primes).

Certified number2,980-digit prime
Certificatedownload
Certificate chainshow step 65 of 329

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004857688212 --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":1100000004857688212},"decimal":true,"detail":2}}'