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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 #1100000009078622193 2,026 digits created 2026-08-12

Value

9162544025348713048203778574246171492491904891371197797180047508994353990676683458041580381735066125846124391447615828835497065459857406455088230211309659744460569299673833193260770056480720505945150493162218994538714033695818013220074495515044657336243566773806868211586247442922801628207838256067538845810345694083704730036127574490465032124338060183399763084040365067506744078354165248826901404991326665147363543680015819416845415995290588570460615577656445256932768444584165971277174692777406184373501795538543502451212015926679147485153857776519754819753207005440855892039790042249487743874199248734269931649809279196243905798147018404358543579092822299856086291170109515295459320516701952751105928523648407037729482424767398582689118945598093506304270073684249644889957440082728004692079428193224904029922136111003788536737198189383335657532417085422073685101015318551367070757763874881380208745400134593307459283441127637883518670325972571788744281861210546017948673289854749543740138007015244265293979548411211580871743170691272651995951675460772578500386214957984241024772515787244580792985172690001036992841945017714574294796863155387637235126751816665691503908096839405410469036137794809735439238463127436387589648002736027933676627114294042691898483072782130355646875952324648994735213581736445411604149806099172845932801740269088253527273084441000238153730122629365514968599387326791808514921484621622896798831648232852620838856861358071692770964969238906287279091347082145157914863860115437169560878226651409431601378155819781948951484751898454678798717295160658810204303131184783262768921096419794922494372256640589396970253210792012438655267316895106299194849313044342110484207454378159693451793167506878875567685550884337335662542199610469217384330394485845515135421027709896781384498202405811281343646041438262549806448641284223306385362894898454485345094978080658781207903157756046048389047162127955012431358329350406851283609208839868518304975290501743291006738925566687609545500800744884770237207792717973
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 2 of the certificate chain of a 2,033-digit prime (163 intermediate primes).

Certified number2,033-digit prime
Certificatedownload
Certificate chainshow step 2 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078622193 --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":1100000009078622193},"decimal":true,"detail":2}}'