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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 #1100000009067820642 2,428 digits created 2026-08-10

Value

8084424854203327931100881078662233261451431760552039050942477934568875391731161491220672033291113332083040259577825118220945404003784810957000064112285651831557855925813851449461232157615397271586108087381518215284586971298821047461608231241824241778570244233980665566595454190879721698948932946064967908754957118273433879499587639264879899054118236300206769322187828031362622500882359891749034783298913423630337558542674338950748629923556049662284737458578354714824532169623810871746518979863901880806552366459472676470268571048548101068710836767503685677015482863664541226995388670228647408634027538275291248346737784815633302360753251937965514361955215160112202427485179146881921468811165345060537416403154141832624457995607131186232215737472960105525387684451768359729547113298289893603286009345584682279837786994037991491870933351239915251646795278750911366946952785980399402923501662208106164331345503418497764364488150777792940718387398426421166871845300991845454686161304116752969958154396880581855606418794082314934578786379195714704991425369565126150010865316630644186587371613357274440007975361942621255133181549770876373815604759567384947319299894694093415702404083449250163443039286706445329539698028703548418990205666656246496789087838056853817144439662217913173334611338690742830137710411790185274880263470157054072515842362880673932294800339582345668360138143618183928372729998528687784783958587395965698529637680658650094818086810322486038357226511255648670932137456965715382956007992978472046507488161689044287654731079843329638075408544200426015150934851222215081344825736521321286954170605754900159298192041983089971951066733563356384741249269678118027779351647608476700791065061046908081432032190261954448041813816882104481968810827597905180237805748575021939482132195205111468199824550361624874316955710502138412364867497605228257538738097299762648831243451969973630557294892209552502009096701863005667516178211263655312846436802797250634808893449359108315178537842701090438731909305812554347024369223254328231623277423671028723045786895105876823459793904485046610554640589678210802516069850361575190256274677515477285720432820845503838376256789891846066109736782898371090908215751296647049061926529692588192864490347525422896139803542769291336368016313777307566011717692637101613006597580419434871244982523089035715313096143490522550698413498880450933344893041752185045609289178791362116676965470301886571
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,491-digit prime (185 intermediate primes).

Certified number2,491-digit prime
Certificatedownload
Certificate chainshow step 7 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067820642 --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":1100000009067820642},"decimal":true,"detail":2}}'