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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 #1100000006886719956 2,069 digits created 2024-04-06

Value

82213154384066364889337903458376729804861297597322005659216222944718380815214959700323228056353757127599470677992042138606337404880402538681948946202364585879082634869670406837486677965930037553488188782382507518266290441159985942228492325749602920635948926950235239141009781992393547370008782616323881842697286902649471164469984893642510605925503652572506902146322478048461998955643711448472821919729389381849683423613629222057583372111564424503954058362511358254683046233904249120949510356976706052725325608542146151970682186763130959209109424173340956413705211971543575509197904546248674173241622784978344194227925841267323725489365672488252173206064698202926706780670172700835586058809062854953401799924419035396817618016378507640253859519340725143289616178239008876338543659880728588989624525504550767541791001633762071147957578132902261663662932732742469176587523743647468273397633810700970530203044757215097555629600181785798936873084706561164895330333202147259007361776919158753568486740700720484006438204337015473378610621297397003168716566445414973616886348540205899027701926195262580427926117164649666517317698889685987208289636395255992010477310102032536733799010750946720914557170956885866795488306681157646385705859294645170330902781940811020397268470767791899836478715788946544993206077164499283137502039754974853427115868129818967619800872557327640537719260346488802983739895546523430588376623248468052601744111850056977038519144926475959418224701423601544667204930313335803161267899403475063717329838124197686489945910677920624362060892335242302736008229595399301750246268868697336907214905324977227321161707061470075155291515185357940834377367783811551763143456157942973521746815518806822377503728925669922153312249375943586655862005787984790330721507827280228154036618621922931759364113514628461091533724480047577391298821060679567002296693178746376080118498932106896177689208690298367068463086472192796310747438927895041569370710671292103445197376106548619458321157043252661612818267440307418090306083709556795343522778805464532241265414736079108201
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 2,160-digit prime (229 intermediate primes).

Certified number2,160-digit prime
Certificatedownload
Certificate chainshow step 11 of 229

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006886719956 --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":1100000006886719956},"decimal":true,"detail":2}}'