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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 #1100000009054641108 1,840 digits created 2026-08-08

Value

1098366187893092478257920438350910828564343567467803260333448664617709332059319493460476180837647562915849150568146175172667230320881141064402672278866346491333212929107803193190535750824029789374875707627216108850311061141190133162719103360238794335452125676215433535772275935178378744908906532604834135597997318241264633123996770758314858138254589050295072935314210934991736894257953655821015725581145225446380839214890298337360162248001578333228734556939992212786477110611154291889398205363268126931756278915882592118909969987269889478811423112401453991975157538111905001398536622678863142297619369656361384852900177910590964077193830694765363641740223872036798120824047830201436567708434767269207384670101541460360633484018591824623360387928992451838614197508069798959093323088999787226368076007909575971687150142803511318888821780265521283463272447280729424281590799309675466629709670125212527907291401074584844494566105286455808851086772114149606570890814533948999099015577781710066663748416660585781684620887661830165808844003105324068843203932917797223985834517569068882105398791793866970021090139741244380133421916224850750478217985875297978163838482480235652573545083896967096493467580539496527698263984297840079794324326364243979788201734358615560049724048386149723217578781167017120056833126887182639229051765784751873175970420762581955368563620611921117257009037188909517153460035615890566417888146138978651849354466354191493687264442709535637560146993756041922803082635920701559442305473949443219321339487198154595375391356433821645300514930322263065984663889852692426197556134855451433084004881919441706861343135440241895517242622935431711866172946839604907244325207821848448750841162934204928732363616356248330708177651966491504779105862589829132348147145102015368968922709973036387333895393724191418886913553753067629231757
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 2,415-digit prime (186 intermediate primes).

Certified number2,415-digit prime
Certificatedownload
Certificate chainshow step 48 of 186

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009054641108 --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":1100000009054641108},"decimal":true,"detail":2}}'