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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 #1100000004814175014 4,782 digits created 2023-10-24

Value

613261078703340210203665279913334887120549193622209805382207645862865011205154979553973732489843227635228065100358640528999290279500002975942176778499616018607085202714234810348204228277538018633812236879420969014335603248868173286470820382216960642870704003081259066412580143415774380104574197687642209139647634211497491430100254411216113917224509657683296044585554002968560704579514176283646648545714717140489423383215560697230443959897540606600259599838275895907603716568417034469050787055127255342149761639575219000094358784705174915428244879589040952781437290814215740714705768693882286410924469106015962621833004256734546550777150191783629899951993424947272467620580973230120352893814138199910991212628121301052185855825557276491802492175290605591175495421332134465754603924512524466077238010256787634374326751477893173538919963894866702202540580783774619215441158588654420764839423596525039603847398267765375235071333726384136013477153670323837473012499736068214931843392189949263707644853387204022357979148469110827013742306970382981815833477952141249981418322182625655672144744958323517769101383554898118278411837693256031713775893489080340937091966876562223993946926149647235431525593718244845799476134383902317932708955417286405684083497319096692998509254990618910585898930924532588640471732951443558113897820615943993218015633002984928417349974618111130204649294444696130874970607671711032369066085014870022273859474681618612890879938840134797970633258343609618787193175310949807230995791392186599022319697820841827541259401043742716925255124046554320122678275920292593069239066587550880385040902138493570307724298673985489680443837621538201671588311333022146254787712986548035396196951624688753862942890150917374141467117186056963664196484074612491924904168980409130561796899247376387201692589242478180318536205349620402080434631982206198621018529610883172544370721206568961871211333108556705853433877543286069548286174540731476536899818255759584252818470513290527382421341312486064267117251017726986019270375685595647138144630996899053170746002421109112527654686098187042700742559545603415207554001712254151801195972099852110873550498628981117204926540930082120279330392051873833928307728770754803128680266502538565552764294250460689146967563493338626408921512344494385779011489552668422531424178978897525547843715011907984741103414131251237574989684677812894623451904601443524516461177987464996249929007849837989656602157817886283966562394383150628618420735493420735156810075288921352561405822938462953018596826381791805440236306094349550169611293757004168679960803545944855310505517267149587039423701129278532999267779313150070239640849469069197164947753379491594640583344399372728893874947456346529967953866775121342357216696539684276606898482165940361067670019133040971523665942296850754909068644252506925207739490398678981322359698525456864123403547768710300796170018245933286324687295040812040594051612829670342405382073110672535882128873469761924959625685689320180244203376381883130419195756425335448681683583526232066645925265318962942427779030684899934115981816009576333640953685328145667343746868365749000732188733818725050778447042872891607397184789307056231108089501576873034673692385911148165347668669090939244932344391794268712943731925740649584451884495101652279487587720150882713861689802387157040290316700275142257379519243666988101592297000824004917355933578219361321697353781567211613061066781096927772724264316173424442862868071519406250590564560487209446883632163313553074998780971682251838846720223784797969315701860277034678867098094831643272345995022959228641970989199869979999329539205592348545158491555292542261108787085242750841673825666842944733644819061841395708384167910831060410453819164351826853410054235197250767822960211509084427085335279420893543766231796687695513787683214794372090052462630944821918774000474248824489151216479175352469582653570481124631107630812565961625577916302870921251338700971673351683904922176711422057925950559502537617266022852714708514111220356547320129469477979651736062599848146413365634788346051144058951391072983925356401282358434333597487763254539947824424169501358935047590263069848355075401023919155091168197287441245791853778447768964378822717579959705432973052524663005528375216701399297203492395204638621826794088753799564424524786116018555445915916793415269801463110109253547962458585194892182107006957709002941414607171516814602226542226591898840562337043658701175646345003493843602798100146052205593553275930853115778858864836159696212296374985723813169964091698417271580725657026550954700026027375839577518991003024281901918775498534206856264766009970178255338421533003270894476636151763102120261157041070309259741678385531216280978718001607509705317621601245807764235456111582487981394982033
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 5,864-digit prime (594 intermediate primes).

Certified number5,864-digit prime
Certificatedownload
Certificate chainshow step 97 of 594

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814175014 --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":1100000004814175014},"decimal":true,"detail":2}}'