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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 #1100000009053653934 1,941 digits created 2026-08-07

Value

645862709181110800767061038484287089742357415340393129278873833433260606709722063019358152110491233053833604530027972372620117941731293021349576963719015125144523698031157006817631403717659304555962261441305295556339720953521364185572146608586974944266808196299392763324485900011961477961583917997963100135073034412959260202731112881270301311070899404984405897491587991318794157833084691886224936233410270928270100222825956239130451037561988284763413643641204543413954176724174136013015797467022517586500652052575240666171206414196630776176626415589723426906809268981623304245904587976692824823131943330861276843302342764564681522850613283295953044691569621734189209788535643619302425503776399705923424787575370728722552985066807015295920738400799878612582665271725922197566946517261378196669575758575412576272835076467891898303201228645622021354896267993821880425381335250514444686282315133842400848660450866469732734233119039255548047858213965207568896064877161295997707873758203111845557610484690052808521437332124747667612282488305495808926256531729265314011137588549828850720946296727265770872068294607980489444379943907807847103281842004114039794783001728959065009099715833107508609538151340290606241057001360115568921718988708441528586359574489752151581091075257110905745981660522169688241832694927303772509005978666359397672297412074546749351312397135908041940840776398598383513473437935751672185840795170961464106069908531102150165232945985154811506271281365828124578294877062923990740933658805322685590956362956619235315294772143007398694945250372568337203766128434480647240439539425639336524380197548987611470657669319686938692412294147257677135930229617696828106113196216227109658114155005264709580860049340037919742125586117520111976133168209131866510061794996893144634263150072918513855662920289811308703489329023455278926962118114150719470692922117454042685637674974547188592055898525652706083111145014872534508603042688264313
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,205-digit prime (169 intermediate primes).

Certified number2,205-digit prime
Certificatedownload
Certificate chainshow step 22 of 169

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053653934 --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":1100000009053653934},"decimal":true,"detail":2}}'