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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 #1100000009068842652 1,919 digits created 2026-08-10

Value

23172350116067786867221423774744559442982875822284329671549597433437236331263520677329646819493208011368251535402698053984565639831453617849267114720414957285778060785365363446937653295874013104247794028465000545308731154458292666621941120594649171356264383912345735803341466672711029480405886626792728230486915856134808799858592784833949020658990829565826401472411356959601825261885232896221194346163244634373624257273989695140702646458047455386957689853505538156645707243401007565756469269779217946800250697747798128205626165130777953409141739094604660323623840757311073217452859864387232170132526433505644586113801837708085785802424350712926017678733388675994148436554099061402246363703122431223996546289911472135243764146886222125104971602341783902876163981423759621914573440973688942369787775241720344975799582455057120740838334319481019033323262756879530942138822243044691977879768804302179771935664358240429060329868868720769736566455667534380865695252151360227482814491636532812439789818826245887651812979444151832899163924808565291392228609772005649953552518747787243111292088126079417002077190468366472539983343773719886243571648913101825999607187725820379039188131019112977828539362950660159921814451364127570048317504134686848734107373349803258701262643640355216127088542613833642215402906510934954582949210349610785784853204715609028469876376790586223197491687574561071394198346117809090440097952354817575796582949193382948439750837107462422340055709364240386832731336219823478952597222279730905476893509150644831453598133408285877438145877075665480796375602586622647338583252474841366170706094498851981205699850271117070440132262404262410511313665864847940739982578942233633754883515887392189031289712733448349859708228698038524171148734876837635175365628407922422171629255533580062797259650915035594917122620424736785151788808264254607267372255620964092752689700119741416587510125092137701392613902643689
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,101-digit prime (163 intermediate primes).

Certified number2,101-digit prime
Certificatedownload
Certificate chainshow step 16 of 163

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009068842652 --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":1100000009068842652},"decimal":true,"detail":2}}'