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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 #1100000009057950344 1,938 digits created 2026-08-08

Value

171335152689835010899565501416551283556342262503378371905838092128400718823958397446741148924968825216683675447021090567653780970386749740808992850673010224240316475309000432077113898250706426136051672547739992969191060658389334336414741113618603651217324959482945720976094629435291464867925407947057658191733717792976672575080828966553663845433348568006557167652376520721135755815564016961519172470033524210859792691436942912279610125245023840312981399751891290964556483713412472551558809930699225055568786530433722970937785980400920349503111948832070937869431431851525681493423483568385612235369181525135171064850750781250731130076571163719501328999507876077355234552928482534070834810553228170927278628095769681555964864473691853093972287533840118920124593297544958007046582211452395301581245602642009409594459429520709787925229175393070237568273483765490729474487956515987099783773620312350724583771529648717486763731581159806913007273537630435329068665828921690345349150683077882847607624308799317677884303803466015262257686488755817670444496634040329743602108627128538631805421175651098798983439211620411304497263295415944004077775327466632502676401323340739241381676506293406550673081037924830358318001677371105604563228616992631927573487569844196725112569680644252196303911010912316585879654388117408194445179175784097670862900849049580687274943193875223033163699357974203050718609408624615967227036259015221730288966152660185476562389535937481189072145609718754582774659644089792932979393920840249234117357205780502234630894645919047690722535008789034977083221311063019196765486773124570960471249727688988932527209747888004920424767142333507218404939625163072546632859465901014496450400674492131177418386642049169726512521283310238534225857774442493331512052377310524657046332986067144753560643824319895022548562593360797675191466697114676161640661220504277662883370993091769454313695088912384669572556783508127825899716781160599
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 2,254-digit prime (178 intermediate primes).

Certified number2,254-digit prime
Certificatedownload
Certificate chainshow step 27 of 178

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057950344 --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":1100000009057950344},"decimal":true,"detail":2}}'