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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 #1100000009126951114 2,777 digits created 2026-09-01

Value

12113876535172661462851445800988016102758497314602765010666105306411600188389056838200367361884753950433991339669805059317312363340378948295075442085416050914461553244958767803619480951363648501042520122249096429761048361745828361848049054950345057765784348566787597473442404909060070966284040588405552156773199146329736574341229860451590657130828170917560343097141839595761042375148909017042474532539856281272238295362034639274316730200395391194557219160991529602121276551707354816045383846444859210502961554999858562754877335500804364996413499082537889918159428641269024041943010937212118500972575817307502846626667872523051204897048823865565288779848526106287956420354372226337444768087708799217832140132029069008875570336399559327328907488932301593393804552862977419782966634220857226881905928409114619587014610607586782767514444566929949140427647107144911776395040412958444500249553009561928218392197966046753305298724139451684767286961272279746573059120029503126274416084212842975565443703120285033777723610223632511877007228912758784698346590160846290046837504216387839100623070042207956259811934152403989058471616951739384967755636134106040202769356018084600333743226795168522732346485012028096342841454560512495164528576560216680798350206582893853068736226076397800295311040948195742543512839391068487526057589867762042568877452645004826496483362266675845002281899750325048340656623844361998345714000488090692474414476696839056949766367769505819033548638470725361060215791492277379940866106701517974402809869774911727205137989114775545446703524696787223583321179843794610731024906942062296589793506780580077782067747624733582936880175406526456170352934178254704650026862680629362559570142486937161005389131001044533515031798039598657356448425840414603559755443825196608879395978775821096147750956227613627956907432798843806793521726966561679486028052090573351961485547409592600436459364029132245851070658703913648250017080398182029779333139144223411999725767982040997219299384927622589255523255389201443763577060120399026810788363534558282064994244694765403086527932401281212862890949662002401371778238151339537894437324584510099014485186144971675916052786400284703000173488562386234049552658883709318065012336715093962746823598138905070781039385612882719854907992929154258535896278317482357237263853664415127619974979969570257472493082637724648147989732478408720583794199534704322877495071264834437370972678338237836939161702678677723741676953070609274337122582362170721788268169800060357695582469300622745472412327168046418402454475873530002712975829574813385971381628477374624128417749880093111831522488947283896254492710819678986095303536639974387683465774059683866805835633798721692265973900083917577510612056982955672672653040258949876867630584911400591213336533
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 3,117-digit prime (302 intermediate primes).

Certified number3,117-digit prime
Certificatedownload
Certificate chainshow step 33 of 302

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009126951114 --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":1100000009126951114},"decimal":true,"detail":2}}'