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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 #1100000009079892336 1,707 digits created 2026-08-12

Value

150041399635275914841701151238936495079175418071527509052452923945289597393672427035517044451514733846194688737484144891368934268089354590460868497805174527018277282221459514781515372863926542000208179452906720162099354647422160091595035192492652196809059412320198277687623269417673227275702726128780382897155222862901909054484459979667090295801035058712930580160833911526761379239968136511620853242527599923757263652335949316138073273215790438742799621281620011013343457303632603306975893943575898870471102396813768324675178043359980783982734762886823025574861141244833925092814431478911615845563891354944513748784074178353282653847558085226720508671938150598759483994844225401225177680752841482434827375051816301876486200882687786548898106848500075569703090130291232664586599248288332690321110147751024118684455003914815138385237646030758021732583738497462216816753576050451100130695146991356053927475202778862196253141885077129026162741508616996867398436430971670151611712809322641866469404917459786453395503263683194322068635802141910683883741815650577262116876562716905461427261484859032193443511342561151497896144516098075763306122216320456019054823896184675372958371824201229693177755265400212841410225550945432595209321459580674662128232850371694617806299542926252778757959760857519419280049848765754229854142961676754964953899820752419864527161066653795605003485178408559948886769802637181970978582079652083179744236433949371078508353650943840681334936669684932107723780362691185564917572799186658912102815167004356797312550977919536349742890821793523447998967073666625721727199040623880577236835985823637402098466790235377467036066648913491191530852101641686974215667203452824382181836055905286857
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,056-digit prime (163 intermediate primes).

Certified number2,056-digit prime
Certificatedownload
Certificate chainshow step 31 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079892336 --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":1100000009079892336},"decimal":true,"detail":2}}'