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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 #1100000009033139083 2,431 digits created 2026-08-01

Value

4139860289851816040005614332240127235232189654256853276780683530027237179298992216133940515103925428673940917992835466658261074130591269866438185019424018664973588943297576417594901504852505432263792919750477223795282444043250668514091492410101960403212544253424916821046094617853384669945765360829509236892318578884382758294021811974331867037834285726689417050809876427740278679436988011214919773981400510696586857143145722300892890564652967182379664324297651603639948084616400620894821730239103163230860482260043614530825642727181513460174036309502663556815463032696369270263878244028967310340987693951547100536893389597751296257697862552521688254546807478405729292728648868037864088651629652835292333051563331413995940145990267122036742923521539394081336848642286647573985373786041210376923455717551543651596589163692465516631368757306463753573514054421915236904618808087824336767871005595742294622455746713129962269806244862354006230871447271729213805365135738996295959716464949909317075601828622829152241007177597018160315867322280345659795169315124760678020799167698308571819995980394670787272353134421388048024137875799980627200732503796266638208973491892336076312156240982755361881188448675390655173741671737351201553836959787678507554626875049901242480493989902532824079902833852701578631583250703869705609542546027311492321330493233331650365038355830148520387794321187525160035350761250051477623509333168372761563146950251581178905357732244292831557648876801686151457418549077187721600243208782523065240938920481357275218529515530578542585455146143011532065363244217163111058936266587743596696388647545976801962620227996013537861790292332054656767108758231811429421016079661688744148002568259598620634094253251239970705601646676611082303442714123219630952616960553981005455753215040576982874893401876069651398906761933973077132616183224728623293747220050300454060659833377581433937518870118755855231521048961592917822731725853064084083673704594597382482503002608749800064480436777971992673653294930103837423256143558356751449115101615663507120155193623406095611200311486981428224730144157919122847870781808937082141836277839288707588940776103222769539903983476480699718434390225092957092774191294710828379556542742565673177219165893664937250039709449508971783333923986408281735320004425908896184097715415527997981668640286336706889799191411470586643471407097822075602701662384289045847317513543131061380979403647128800427
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 2,783-digit prime (211 intermediate primes).

Certified number2,783-digit prime
Certificatedownload
Certificate chainshow step 26 of 211

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009033139083 --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":1100000009033139083},"decimal":true,"detail":2}}'