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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 #1100000009123228167 2,130 digits created 2026-08-30

Value

367266789125294583407096072817195052498245143226016038343978391417869845316947127840768156334026935030625470462488445963092703737291590524848540670475138356327521132726002747785682959210028643401377298883023706216804039849627769086573102098444638495443765273297425469528086322490902629841616594247913293373616534569751476437226369313635798928519535165465234949404811360189676882339286315732598393478173023685766040507191029235342972494290098065047949592458845680150478628160299094072083814585154958539088236244343269959147496010350501291922684190681696356421615462904635195437592273470693042346783109513506133428141885757952820499086076238400033454296165800171441360083439371691614216909449216277643765523633725570547960600655201481165716389750375393785429216449354909779116309097344858671953194029372474017767870839127885217341728803457023997664416310299106499488048751240902861898805209826523623845030608128699585651146198336616740757458885581402451601289908272883436382245489385857224332003935277364867714295869456596182112610553528695391854049270172739146625429214927872880108015659477842326236570928450261811158851822340054633045291922631830160471645096323976728655767620545270822818898796723204452311863424027932296155356973617519255593675586130028238118815628666231406317386643484755675357157688279824283434689085763860631448478669391131197491469746576522183441032029115414312551133253145562556630789064389798422560050979864385424409887634922169547018499888858488921884030732929116743200027359524504124921290358310045918147263017895544242020438090162062613823081747356835250423858510802654839137771389230650825410365337040544554607903757185195192228703475188938624539906883122224553522384686322721340642135765659707653732848675168692780768514700924771448348168739582633051449477507556681026793390585561316053632460981455922425479646731569856956471945728716243156010339615501261803356456264616789059621648137950977762344246895990198234535598948893085114789814336171272488972377641876081247186909594810966863836906198674185745705692763120538603709485730071528799509439592170914140748024586405715560572681568771911642658965263
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 88 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228167 --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":1100000009123228167},"decimal":true,"detail":2}}'