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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 #1100000009130191917 2,089 digits created 2026-09-02

Value

5657258876469282325799768264822383098738101313050097002761257435226790507704749105804003105371970612447494821826602013322278398714466350043824227375160997758119183989751119012496126735600275512051702772862398210605229932274025996039465223471381556200306885331739180923637680953489113678713550127301454041481086994275926106423524722176528922949115394844290055687177189240607789264814727029470519578115757663201134997547588929999552315494852890503789346405806612619675724870093617799371736579776643466789045725757861590206934459483288042553043665689661942718869574326670030703078481775037290163534614671169473350321763465953757113238265765591332123543711261553486684691992245339424662945378329022664349080921334764656871148352788348119406156855898056171906461306987986886891610554335433386676957397945397051476340772267686313550092267002593668685433378891264376762933472646446830135553991559929826493936676704274372682501320083760381713210553699380199844736026597010306697381908276604727631301217557665237564856374860766189344555278724284670076211371536626004615023465112450465257324073796275258523375507539870048814625847748954368633804595473809975373127846716191911087428569358760362413706056812046100983089506484560485925022509573867416517472749429651477456359314629160542875039182954603905572692099023901827669306048729144567554849819141200917960709559626584137986061969773570393694144552076878956526712680564707933779227196219044578447517174809345888050623121128480907930395337444040857747034717266798927040116300438799943751222781429836222151271194931790396912543493938269128886563846588929606432677753144821083022465670009313022794849079776037007347722867893354091745912321879706383726867003407603984056557021114217632738820938766221290134904418043961334098656528614812515484706381639599916552468277363956274382700945128674797444622448012397563109728112181415322084811667652441336863982007725227819226094890382489618634718762490956574328476424280407373469705485178369155812050913932104994280009213155180677967755483125307842966401535564546508507142920127834670239439477866776018452693
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 101 of the certificate chain of a 3,154-digit prime (314 intermediate primes).

Certified number3,154-digit prime
Certificatedownload
Certificate chainshow step 101 of 314

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130191917 --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":1100000009130191917},"decimal":true,"detail":2}}'