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 #1100000009131611850 2,579 digits created 2026-09-03

Value

32594039904889127508178896518697108762277899451396775561923591471900651089108293306392990281236004643836452185864777374984215860222345515570888710463378787093079595962413265130123549382943063913583056207967259139748197020603839205522768637563508229394399217256809598901562874436831780184990925936531256718523759347187742933776396322270631962040872710796687433052024424302344118231823160743811375945521838512386973998299834270343601476597743932258765926089712795931675901326059097062968002700718061608720304204169645464965509666480932122604040988838819479391382801214520464506912556724582516956044607537943710852795979514698488747305023188359799363245013806163361838235848585092858487080556567623003172194236791492315241792331584693971325513784977437536169886950972313194911098869975147622601092541861757213158385012928470421369268419492197587397255397664612517575885834714056342856294031680388658410078361423202032195433748380979643180269431193676075268733548420198672424981173720940028672378742117099680131489655035372165452980454507340959875945851473443180671116320139924230616917971835253829357121765025074845000502572457844122653780435096343049295876808183463253172302729557665619368470816658783515535568988378635537229585276315475254222394075555563651331185114974977789189788389747443172448156786031425460990197744293278610958670813718493226835864989145333319725272020810596538676797667076555651311324493041096219308565597001840542508880948266570140449948262947450082467244510741592851265003772576523851277743913825229495398994180204315300001067211476151144129340877994130966674402167733378980646058754305335526515484763183428223266913637108493166642125008394167932313618710621507330568581268251744130539469236198291464613527856482374406523870364846606262256193282212657575849886179901534955514136505438355265839922544533932337047600374467232449173627279067558374723621424487812648668158767368509681198107517292628562824569018945451740293466214270220846462915516017995596242324422034295344157817128873797438449267610104764269371710421490951951735327506230332935795818177505514126318047165761364615475394473216036217241326289365042392016882559804793518356435022885740904940274126702825102805616042442782996283284715400072492749707160963343209998135973255979681752533891194520113499952258231222803244949738107416272348187785294145937294078331834368502833650468044805333793799619003042637119568644501424431166944457999820145570775503885642489513176306368308547529491295131442401117287332790454255975459068509602975213043887007516400471870325395675974829041814193447593183775927
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 58 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611850 --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":1100000009131611850},"decimal":true,"detail":2}}'