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 #1100000008678601688 1,784 digits created 2026-03-11

Value

31394614152429212597222082485876465826228351704651416133735215015869780324230703291790537702803935781322305570664943080645073331710799976910144023918532559358449922370464529318449334674297274296261455307035826715003337036068810041802127303191828018923271452890616433259214126658282275120601501440562966683128931573322565029058551851961224070860272129639687448255294850535386889193036143770804064894992781464893163953171555737000782155684339317397578320911993798052148449469298595492814978305463035082594128486786103135378899044976355465834818865471471017694456426698528311306891744026181267791277168444660859606517695553912735551860329188601328421177049083967554669776264418956089792188785126588300608364780312918236653749602842977456891265933335487530907603261171952253568747482135056632525785232579541784161373809427665476758836888933758693175043629609278988794105810292963852234779622408096580974905149388352353056843307251309833613915081117105625988646550105627848503504966561147471702523659772180526281758801487631881824566003028385234225667311231645598230917199303884905757042578601119023186678412025260329686767408985396902958630692418827575218607763813340980707024183451757002747415403623925274741583401995143920135611109271930520807316638457439113390709989050882881121861150910326486278080153482634771516125812462745891103863775647890425785322421787376702717404924774666480060863292232732154538975803722284196876996990640968718747025823135107099966603950118474354189058131308902812267094075980045625192727427208836164724880547331550466307244880150894037841907977022220393580548635316792422622565844689462605254477629397360026511806966821543467057755579886112086704695325443249832699563869704394267190896481664669365417718028577092710351607066921334659282331760028462150402341
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,250-digit prime (156 intermediate primes).

Certified number2,250-digit prime
Certificatedownload
Certificate chainshow step 37 of 156

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008678601688 --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":1100000008678601688},"decimal":true,"detail":2}}'