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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 #1100000004852665162 2,242 digits created 2023-10-24

Value

3747801930361278256503810198043332841371668642817490388223167022737998459413385145131017861654366830536293820448974328862681334579577332596850009871019595074367292488425104193161177144417083541168782775607734460061368635306030086296170576594250359813738406914793599524320932194438690623106191788476801736957933990677111081171139654845115339382249195370250738935055022436746678108017492850072363903347607514624782135216977511011114594344759258590517976011060699214452786128564829956949371048739111617831343051000375237139017185251521875467992796445656886104237781129702614973435151684153075701107916600331910430155815447921052673556250703775430872606469504769751073306224730041813635723402729919497919198490194737584666744243759573301633064350454113609103875441398700038450557741147968015806195186438472804755094037018936959781718909698715800958681484920601072322778846831415084642337668521462058970635344398831779902006882097357687559443987864940812277992415518743746062420734562486518396669142434870507931953580263885801081277459905223874590863188780650041395665568293260995049486168224661652761964147590208125153226405554812393665935274940495915976284050404874127580398029453683169527777959504652411686011454782425496963935933322492564844238287172575102685080327050874191112552789725303878990207985673667124903300935775916853639766426631098615376609652374025464269527529398452731802472267534395042428257947540600478934360404543902445143348206630537489092094947987480273711862559796162194287935680000341462801232677001617556349465437083854304301269882089092279345382599048167118945047006816250006700396216151623765256290097305375456596074536214983172666492268085727679996684440269699996643578828740833247145549631788832633046143114682003010906129228191480936456604705460652641652760533009117984031602888844226294092498517108672006008678986059976405413143709834960990545308430030035738964663715273310985357064544947775520802035770352702116785378685501223334579324323369582379362550737411111670553549465911126142376914833692664395243342183642926711140662037254424776133158999625484254850730617838338817182433014700873969243736108400890734474818165509026885565952549022143639737393206678895176896400463999991031057063914679161201419066171762277
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 89 of the certificate chain of a 3,144-digit prime (334 intermediate primes).

Certified number3,144-digit prime
Certificatedownload
Certificate chainshow step 89 of 334

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852665162 --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":1100000004852665162},"decimal":true,"detail":2}}'