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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 #1100000004853462510 2,361 digits created 2023-10-24

Value

163471726308752914227097588335950544648781457788232976214193001745336415929140346802740302030948201972662709732903178765203474585516370268793404158854648061389018700136653137484733998307566520333821166523260087149752005876762074578475596084513063061413829779837717831888090201784212620817699352734752310122364316546433817924746352486951040431436402345412943190375825656513556699616434764602884368468391080054059167602089275983131920267295517652929306536495176458483301856033713909396758394730010332634470099358815757851741188346772696235315955209836383503731185883009484272461905633792068548697542319538092892890097260757612080751003443444686694372851621448186170614182047932634469628543055691312277951820919230810273308092275423826371949328529568986821407035512687276326056896260925177280315312770048303616612780727448392966537534125680858726564587688493091639347436592689399632160185773857309467229296325088223831002191187287823136522181115631890068707676166307049879129327658594058755235402317752098167966362899425126314657615767544772876703533899797477676441711845105212205238444520903012932411983268854302215400156822432900349377880488364911699916905925758644487641850403264954192083297784569008784923619169124163765178092336847124588338668237801658060938432517451419002514047904239203660688764220321885303899907101244520118653569763736009606961085449361571991024852756702473124462141753879850683582635597043486944181204821567464191510242892954220298828659835949358546735876463190895279526172092926380062685586334646725649282854341271566789305543640978200413752101766715281708725508630250817836489043627229871288542746090966242215633616809454009424513020892655231653646384918634590501105048665450200579620664088267358892264632388121685435565629839257562389186375552358810375895135758793612597643892640484168936306257272155074288518831864411092500693025882035691044353226698234794584463808771404582856201711991109564305458270277418109097424606795067723609456881897627194408906065850981540411455451160925974753372216664386960502159466082523438730239509502506729873748680191516733930818725638496914933433609161304056426996720197330111645143195024575063901700925803251996940266682842184118356676862440118241516241509426912039024337535686362218064943585229420735118062123356308109384091152070196492287114072026244162758988317135231357899788262746772018000303297
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 59 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 59 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853462510 --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":1100000004853462510},"decimal":true,"detail":2}}'