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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 #1100000009057432667 2,262 digits created 2026-08-08

Value

178239875803719114465855151509468397557264591840325186565838892044455383594258202187057757089254897673526914783211329592623477461145104740878934894401344595166285753104592576105142291734790022300457545112826160522289338803147968620963240313058007504357251995277661159551566686231456514899269567960808531413718076640234018680908608697537051965195223902936299559329868395683314160189444286368442046829166272546277386794372364893609010311505491346775892556724740185963296446786910928506776974668376231399079025518792287816781784922154383001179540848347637078013465389436783380892954227483394150948253386043199209669216633851539860844618537925223206762717532041025559918488835356752509059063446605352874257935124238707159334536777311103734788753271817197194409361013562442427530897032359567598813679396178843925141881808651779598159337277576776454818339160775544840480638191086265095929372630921947832490400895519136700623413751493081042247982398365071394005743932088904894623862288488956773991554891560484763074842755601915927640273499717641147213235263358490443521749866885668135298339567083101983451294413328071256590775773867898638301581981127226474772317978208387997149733585193324181634623957606682198953948159326745381778636165614701555260912324331298669685290008748251480040911570326382061572868634756655209273771547670320185979653003752262957699310267903012050754935080669303917146266302459010073231257964491979697921308142005026890775377081322079282482164102394625737846178690241127172253943191005572658448513147478515125541847165750678214293210703006340635298686965141213112258941907553909456499515021925396460324742783088717372197086128413406259053835289948349671005143142135039628071927033472964760987168478396581919202804717125523233471691647340744338671465584600336442081840426271536192543298578157551390924018096859132935637851847841396647039592252133958732226026714513550844833039796410226964178422752224982193940737172569319811988829295752125458257512636359281721298555784653987871340443871345416201932708155036835905490371742663402868152261683875554480324145312789309582517481842084296577720525649122608991856246983305387977530220916730058381566704315274918171618032859490701206494984687421909444262261422537896284873565646487398696459651539742577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 2,544-digit prime (185 intermediate primes).

Certified number2,544-digit prime
Certificatedownload
Certificate chainshow step 24 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057432667 --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":1100000009057432667},"decimal":true,"detail":2}}'