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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 #1100000009057215003 1,629 digits created 2026-08-08

Value

153604255653932940710736969300638743868127227437064468181030688401188191807244837950652501277657147732180228049082579520370500323690126800106604654887750014360016816233682559636552023997339258303463933979491466728524010275511921565018675327672319531283880286596045467483423292065212745779945575111767177273367291099676216971179633621806537401461881944064966336568373356051455163324960165493710211361513121414857898008507180793451758201649298156606125709157293527265180662579920930921827860296925441371019831131999458972875721260684105079818198311783210981343695766881515099773435898353592989515982284141211748999819806951140358797677764460484754441762864958991170764814290492423097667829339569091288312655376608259443005522431978061289736159968056477525708511522134363445781355342567887391737499044723936213974130141125686675561686971164183019600514032831756815048241636204658068374930534836083783034823927451795907303077520893705340450812355302694194159509338287728480516829969800017204101397345407412493543698490812809779794158751866339717718555217645922984614112967050208725296530341616549468678465102579229628464670296886082809573166078847141519082006754424747025897684103772282747366018598800193968243123990365011088331030980363459366098431026215618150201830843363910598074089938209573042429454893580724368774752374522499482816520264449451878438122859353082792067205410771021894702002145071519704558020314907095443656273277888270685622473808036219540874726253597798844190083216696265461832349250318092175394535008335710471336176148158120474426726818687588124658220192751224268917385480540869043420005552877260005495942367193
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 76 of the certificate chain of a 2,597-digit prime (206 intermediate primes).

Certified number2,597-digit prime
Certificatedownload
Certificate chainshow step 76 of 206

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057215003 --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":1100000009057215003},"decimal":true,"detail":2}}'