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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 #1100000004861550166 2,890 digits created 2023-10-24

Value

1842770899076431398794021088662352563105473958977129760114548523473541399984324773802673484936065015099289831594952860711779589837122874846042499197060799435464288549262487869394077489801816741145719063357014045457219616717304091525577493937723862127778267549266627403844253301509368139933586570963329811200462414681618619352332394538142306820109677184766496532714435308935438756409074351220436544833307781124299436344525149912174108765356937512971766109013080016976797919337140845214372811696305746809743938009838600544354068925668685050818448239309532977371629504083591147011671970526610733924924615551480634828080042455239210040294271373903812425593139088070501396116604712534896856834507846426343925813654163392331749654581518689903361822059641701823846422133016457338143407609585279719994923073693517335448672044874793362598171865269207075505692095041283196007406388239676241624449862940866280503152789498261120599317902440479160577148416808774682692227585837833814300599861425894133375363835567654279252246641558528097731504738968977320225715112018025442600337632482070912985426988013262069090171350720833916477705913793423204076531750092413874579781525661594942617792236366413619319347144019485401661037427942447228226045320854271283485445074901847775951942541309620639988058553876945421158918589110099185695604871585015967002698178418936224807189733944148409634046347031675725640239075731238947975824108038668132365254766482739479486717965645865927755391861948282725134571909351678847564789768541954494632699185696532262223039884227394636472040036380969279604094681649331794081196331489096413857511268523787607110312117372450785729750164601972901968685130697443580864720722517379680029558113628616304765929176360131028455001960618861291709618092961866321241031193392956523014860087851501587140525076928591487876355742000388456966540874451005379146764931708154039558275920328719836828318410693731039476152705905299729143024258888967251298472721359126863077528515402912413331440991838805583686058080563500887502073974405415179670412222865453136200098440101242998976621156052229829711724812578904223739678265886689136237302543863068730849443357513306055088298724492719491349784936789149856958962006885324278628767525711788551963203110683246233405990493079350280957313133861955895026508101807271746951951247036033599343738165649827819784023686225538136385867229577710901769891715874269153809580670753965711076338303031965834368637419648576453256033434044715391148502484533847408514243748565961367074267793568895787687396634499758470644809807323345687345675210467444842231762712983962594085057298152141953686355921306783617618753375925847014787654097090609785702714003818389327308283057904817064858476799823124046971914839581084773049314314599294644340682193452319610160060887517552664095033981707031472180820877857690261320929875598743988211831995789015309479477537149138218782520110191
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 3 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861550166 --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":1100000004861550166},"decimal":true,"detail":2}}'