factordbrpc · fdb
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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 #1100000009077730759 1,945 digits created 2026-08-12

Value

2706845504300656110815949878250589475559115822402159728071065353018034015534360362916517102956826627275717872282938632554607614230281090755906331136929418975280315319772398051556832798068457963271244715759809274263384857586214729517400704816889256567877058169666476182736553460442260789973945910900811952483513504670573212258251190332898635856548149446051742239435056723927136468057541754691758089144565090396498837305030032261902238467217843318633508308776605386054813870595275192748983058500904402282118733525916774586304561846507966922203620311327723866600064772442466031937121025529897270041832491498404779556685974225264759202661656740702851496411317400346125382309155930108422524890511129592842724341230471469204093689305911695876685417699722198895658266566297996806816382762856650615655061919487859581180786757713465582500403910540398370848753668010944711689801815417352760086326545048681429154443676791886314706114155018904325358521379714358972923862143665306601933581799271161730179595004284479765570065279197747350317386370325763523785360592832972331546459674784411744830714140907686816216417144522192273072426532652640788719397859330151185477534120117224326459522898973593926037779447795797556715854186490137464585041300141530777041246324564665758317351359102011082997293038452747782440816109294886525282648666505484808603898763305929880038503871953300476724078014580086891489797740212143938779831489903336138309319254221826739373527574877383453656549667556395906996016421552779510337206175802370367469559909959009565485772900471280990271979084189254278853650889021005882236091289239878070199740743411668978091134229181794425171401149252241239494228825798913258063850112814232638369070646732081896013172166302852361012746669440377156971829643502976995337517749425395256420545391391044549367761884287260971792184962630380195402213071195729667922263362702117184269517850678643342275897957914647513444456306446919805424635908435039980761
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 2,143-digit prime (163 intermediate primes).

Certified number2,143-digit prime
Certificatedownload
Certificate chainshow step 19 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077730759 --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":1100000009077730759},"decimal":true,"detail":2}}'