factordbrpc · fdb
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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 #1100000007222400827 2,432 digits created 2024-07-08

Value

28924296588449468332090012502558638616535808292773591292896217972793905578600130773618210271169318501451459174641963489007854016798875657169823101376869415121400412221721361596164698475015729627939719765073791929982953341993780295640173282278727121359636084328752441931445749142418729741846672685043385307621194665373096627834421997878304917331769886213751093607794724304867754920040571075461613552210235858530194516437962671965918086212835149679752789902513008689093029739672932599694813903941177870118197413499663090288291514311116404526593061445365673234762460930901460294366229624815713961333679821189688030027903335175839367897761758517914771079663889747206567660448742777724854034763784091989700947312745899036703395660694038882039112887867616613975929184391311061190242193186901924570926743269291161062494652837207202982047514427650777168748539032445443690791271078790820264227876174679200316750422605812653904026847659505861186308301279460802647282294155642404152575035373690059874956797787252887863567803030658408421227586258790865729618056836462031567196116416551252137152475078938877176441222341063201784012880837185047882284368952786526913575370200064494383468450320995683725265553876956016876182097553610171866333157994281949648521398269859130621787433665030026320153046503033126787992436199824521936238428113845491391541061666866061380426741123345532111499856593295197229873748431509137802462713926335413139130214530149624211682871494153583186500410831707536043638814592744915704207688918389493702220295663890117709959514277261012829309445958896886773922071959620660733912592353355061883220686904219539529785728075971619984447488153250714003445051951405049287806390164146021303895800125191148624965204885941625599618387275054948445344013365340537425024454983775782752775730417877130893825446888942201958485797691870776434064737875065569729230974433832259548113510829159951514270239599173651894449351910422874297018416450973816185726192188686483206790726632239113311215385312861006396104123436808665429764692357582859882590939030142573075158197954981349277867554238604559428111669721329701216766140587800959404475442596649868759994310220507222839459202277388314953956415167756954228842609225996481288066266753860192714085886903482106573644755192776007314815707547494477255891336152365170928428089297263602016169854925198348381704834969545777303465769160001622877287545733331849713765588435070343631592126422457630011113
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 11 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400827 --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":1100000007222400827},"decimal":true,"detail":2}}'