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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 #1100000004826572054 4,109 digits created 2023-10-24

Value

44733276548761847158260183211146526394220199607784789310246999294634401032866002059287736495700796172332285992592797456500783526737962748543462477757454901256696604191422004545761646217856012419395967629094443288711274175377893892933851533248499747002240003973324381136414967665846824929194447934408100008889273957985465241717153155489395764512758932425504694098289482964880411574207795485856460948394897944247902587975848796459724475524304012080954089700800403026518500606243865317635656948613867327798078849108342536657875642130375102538661709303367633171222541426424742260777905257684343732802997847387431886744035715174170745337260334597873971883370882936987803291075683031690487529105390943731014908874442390356859135352731601016416792417409379913405285046070343457346992665983403494001598096307417743282616667552546487784928354051415487203738555911030837932134310879815625439504941383150175407607273159696984849718806669983393231678098354431974861942234191137477826979125550471739226996040179178611336825205401132720957457045036094783621179769256448064736109951399623260061309952920857465005613775554847583367066057288056054469254102228759456018772852942182956445864688568438327010318780374257141173669403801411296560065846080606996792888437855793795022111401859264086403891245581078069089624501468384846542095518178642364618897221291998175688635146468011016737013974661916429589407123027983041710825434411352028698681310183142959357371610041471363902380075023669130409106597012746857412259938940552607251716564809897159138481084550405488583605234672206816772602608258056295909005057548474463970426463068113557532263087841764756894557105776807964244362765976757777517570600076733665159448593682451313306291977583897321947600538437379413770624739131079710162802603606853403362381680877713270682676572913073276737208491825625486899668425192962609961114332363253631089245018714542083334499314781014032884860730368130229031309459850205901398653246585478612326078415034032340751054743087476356030155518698990562495345268520712192065075883373578603034925583366506088865851536550043692227216629634483019889845134714387851701514737396645332838098734117335345690166702875402195361434322239783104019161264465322073942262186891930540785296861149962499112406928818317897279961285929703440960701148021925019929719252324308413955302215555337878452014541733206675073752560159095386515057376379661778987076114474929078874487455431724091193232260451888904196155154264121147789328206885105739479384536319336039870726454668108247603749499386435375795182122746884446014237115798812143725723892945710675571730149308750198901075623291244630169233232408692947349600821397134310992864748740060983640610450666888155406051659908726864435519261179288097204609392184790654937417696711783629787438870340403742743579837500388287348675087008122839514705759866954987193161976827153527595548800191109852758458187151804481558110615309203742256734505480745908868726517449974803901910625290944568203165109347684099989927403316548235406626871054119443193511879676333553306763442321289732980374608836092362338094924187901662176844555495644313818400759035909496472875410632872974884982763379862872045889024331578814786710511865845627210122305807367269115005878437777146687624117823849515508192237017658099615781469696698593510471146627576463024332400736441891258329837845374235228764273054376249678188869386623707515473379809646304327594472490658154864547492681229661162329300900079128185570459514291762597485648475512924552290189391613773535118146917426220837892279253605693959273220212388380638565563290978079883234484059915647312450823240589277498659341379476367877914802254574948556200054912136145555956566226937983477407376212278333897575439573203412885051767466536570611469112268708989163065041402319811733490087743130212532317968654607840981561170146900499687054458437496987778999026301106967132863348463914575930814833643969713316436975543520141773934542062850418845026111642723245236283931123408601987880151899219982963384074672682711717179775426420014043585876284978738862643618131203766114069367745901678364804391576885121441121109
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 4,222-digit prime (448 intermediate primes).

Certified number4,222-digit prime
Certificatedownload
Certificate chainshow step 11 of 448

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004826572054 --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":1100000004826572054},"decimal":true,"detail":2}}'