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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 #1100000009075739837 2,088 digits created 2026-08-11

Value

344895896273398203285910581212829201065372993835340836053916723301543295139413947085662972904985699814823140784689876875717751260256710222578579386467031813111858967433260558609002884256570700364022841989652569202863887926145130729113841973517007534974978350223897630907904093138850336296688650416477253666661639461067396891344676629685075187396279253419426492267011085261233771262312758012010036358980991159285402004724045776576816762440032578334800583967078273308116330661469381777197342135686478459054411344513196343311970812930214355251791732519774300131544612386208877638951653157883794893440026834443903110207760631974064722839535661129916600751573544553119760874638459151196958003192472711848500774522197279160342913048497514988460227208329792572475231537435509228153802227116937220885241219678552758031718334415038662947489008387005274255794420427224808416539568528721791491501014416766232547132003915016068150400738016790067040741810869881426956289567191489555102679131532888586629720658246966649696052745500237530067540538488328102437238042498600719844964607909248810461599978324152367389221598755085379013958483876510212901226316992585160129624407880281753783751041123099446457257351163963197988759602477565736963100653638015048660828574994993114277997496439426046191475283549888034471070858077252689022739170087127735753581053598104474290026513201791171498758415072774178374144067472173868881714491300839240191215409006966323190203238748211498701353307750810125006204224661807850270655021365543475334898014097783925891552070995852823935899753015385536996738614124717642060312298976042103789949049292511880391934004410370483823871289809111269506733356971019507656377306242724770363207630269965590586898954583434874818006344231390657313808376187001111198085362323951725145658668399949999977638125480752965052309596269093238082622287075776772224467774680116849880003476547603803715807327540622747468340950460428141017046079281652754542935162143980812035340410773773988329229494719139793072911480088763000158678950608944930386048075153010475787954940310981547959670449566178947583
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,131-digit prime (159 intermediate primes).

Certified number2,131-digit prime
Certificatedownload
Certificate chainshow step 4 of 159

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075739837 --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":1100000009075739837},"decimal":true,"detail":2}}'