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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 #1100000009130191903 2,175 digits created 2026-09-02

Value

132155632302545276833795317445695476699223361330508527927078585001629342645933990795899260537476864449566938029512921975287420833170673388917608685918424257792147390613464275231885976697586508407018217131902333973622701345761017384054440031197864070156675550499895905170762964135163963068935959892265054594221679973445162297577636648012027018691169683182400657565628645671731999525139196274853866441187416775424081074512765619007390950839099847033968760029040169313465014868522031029636620015757438543041345243363184451178748962110060247185104481700850556522680684808233910876187947262348566173889820641508100829311443590159149261833045856194203958555681325464502653290385006358032944649698170581882507371165818021928594061254479945395146162119288232730659822283915346496204144784607701601385632209571432977829279007695770949990721622236522722075803851423282931883357347942214115150899363607891198885583597252607836455691711832980035124952027836096276775239431146707410569072636019926994823298018862055606243476569559672324224868848857442766427192409570184707202047453531539814032963335392412839965748860421586509296386831005041568559696982070631376645884135607050219022217508194877786796542774787194999580953265400247365034663449879634689127762206882620477685686272766515487381366253834066867489292897284634722852355979907355947509617541999016663091730757324413112483385598908652836813580760423042484746368139960041498404061039836410697408031776498908786502473449935607915388638289079696051341097483998821662843235109930792733920190270430076853663374683066147245662595982420777770999111596035963036091674517953323476848060971465830322526018932490387705434007053598589488474160101033347007762695036765142393527655401885230346483540182427149199686766367479230573102845075809306112767046674194061831119781350886700784564051321563124637534240362980496053513481486869271943963939086113249000058862679936054034099420869026240372590416325328650302612817307236827012433033039945561056308383757017989598112681355874403023192530920718183340625749052618094575746230428280486424032367752740264561362548989218829396393879103481617672064045497878041133145157831307423057577405658189630667
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 3,154-digit prime (314 intermediate primes).

Certified number3,154-digit prime
Certificatedownload
Certificate chainshow step 93 of 314

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130191903 --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":1100000009130191903},"decimal":true,"detail":2}}'