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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 #1100000009057078857 2,016 digits created 2026-08-08

Value

253313084801504656090448935319188930881496325083445278003862352064361202959036837609930310526475654627534160929647986004864501115896684608902804057954001237432196638595235213736384781319216673156767427901684077270454127753248905572438612771610339177522042101472325137812408620152584341638033494562865015449567546918037720729667844941476398227286399239100372872249108825280029349671054273614872296109439421831670824895569514669034629186589416126706300230325322579774598818086537112478603357621676627214680722811862533243354487021810670663971864848721089189473413978096043984412447702342215248358906328134880290027439192760331999646489868918660470288881259515289282497398146088463546362083758440011232345777621716619434914753650172191902297050099294306801547674446252810382633915802353785392984645776612022072641083672778329542535983969028054265521488169459421541235179773745993784164323330627200424713591399992942917196039712885274360916414360901960112476173073131714310213178068075107175623559178571422170627328066235120371012368491903462982106660510584647841997119023188917260395841816303304827455801043224145001180199402828446421271087659063542725329656796584269185413713267729668877994216382691228717871747080649191608744971677650227530236743546010574016675853383176832362018051708239697618781688684423895158210852544999215640302972100818444537285254711165219782833975642415769651927951275844694449221400749640653684946211226594982304621332452848252045875180227768757498319179658161057675917614925197133165292840043664908955144667982762901769469842600986717192489121490996533100232182597594875023232473457692207389451351077661459402514093291034745772107718967112394036534977525625716114884948211247158204749692057869837035089861459437113435475560191591970277387152058049572366699109868933575449768409031979107066038528068072499849154827797015388486487601950502580753811131821051435681220457840250093722971851207203852892718351240879980694230431380663891833701382190209159322963388581878565540709805165036520372401
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 2,539-digit prime (193 intermediate primes).

Certified number2,539-digit prime
Certificatedownload
Certificate chainshow step 43 of 193

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057078857 --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":1100000009057078857},"decimal":true,"detail":2}}'