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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 #1100000009079033678 2,272 digits created 2026-08-12

Value

1421609144036986393910056078055251151558324552326888194727283839294989774143134138414405422163461051067172840809608140365029453585454951000299560814004756932061421133433638023407494054227844923174923210647028702459648018301252656132678890363009444128564295915249758803232022294165259639070069462295501590960855040057269850758401217510284329831512373717542910633946249129709919333321578538062687557860526021650213697959939149071871006070187925781609990003020071863241065389974081749781161411267692128994575649794207179248368653831557022447118436781449472879368941692989580435739487910049805016388220759132429746728818093987440938813343141847019247591104325747569598957072472122535985445297788443958017996258401426075407667834898532457783466469692424126324015198011826150415757021782048462225841987641953055373438924884405269963513481926112685345947036276935018823089613115789392680107125077307266912722984497140505984378602568321595255802822835021843865782684286722609384374522164026474986895417627409022965749363601150211034329922786378162849354390051210903618478983568962615963716541486581723943906519371840929371907509826059328462571859487384813623113194601952991558867246677182092100754690214149684656001463542808942789640413769809827330998215925591330039091565415454387703580248015430929385321723886500593025668576514474954044598317229981624894176503193364702119315353568875732711164653589147169178102720172347036674041565011473725055698017022147111564527560700260479059015991415031556012875038802411225885191016056840889225856494242719563695963814821111203593262252981124682690934043423584400319282011697644409569397243392348896652528257699918132019246498865990012610597499784087149961623837016424848645350975752734575031503982929784564622095667749184673093302352926818912227547970037743747800030926141756176593856109522666049421871917781510351518555729641525793126948286650623135303133155616132764948448541762891748738516801153037713723674046035755111963448870330070088175482919841914100074211189152009665245224861679126879723652988395898341984560378337816188790665365739869222745235295142631290049144990534443938847679146093957975597069771683990445223989717832422683916749709083923771912734165723051595373161308780847303979102048998694198767747791217944221034379987
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,673-digit prime (208 intermediate primes).

Certified number2,673-digit prime
Certificatedownload
Certificate chainshow step 32 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009079033678 --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":1100000009079033678},"decimal":true,"detail":2}}'