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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 #1100000009130373001 1,857 digits created 2026-09-02

Value

223715862958606923881215112729674445025723998037002411883883658176307016578752946811414040506758879172181867546727063939108673110840955341391225328019814871716400416851124167269249952790761035119625703415675025305314765037740115705197227933698623521691882037759329730018592446837564464457188607112377540840376419082881965088550174707143709528142708675822925563434667972246906311230220126390423872469558965585645737696544592373696098107144831029653572999725865743494531927793581020587118251956313178167423265462587645979727790016494967098952625881715635047190235935525113943247263275925172987692113434685914314830299733481846537435103847354251635400560490827666764161768486047474192507127084838858470709594352318485951198581382946793277545004734498362563193958345380952353579852551894337070348114239653900055054435740083213921006634787684787853079326047047217912360644438037622404817515261750729716594439687135545468843599867939910381695008323985879252494295048432238085841948289946476131841498693559825061032867209133249833933961203226292490872292823141393017282073829087625507586584623263468915228547633774247167792965893977288824717762511398831834094935962715176376100428219571817278140078687029727180704389176860262340591740587610827119126033207669879450890601490054435251883531107832178892055425428798103459168779538257433661401866251048567867107499192320570382225717120883592395061744042884973137451444168153642433215579969108851244449530025999685989532313779289269264408545828926395755362633479129600868808691829292644962476658357119677016314439740344502326085253033328806866298735324965451638084805593445908863940149674922824672874746390309148457958074159477629281773460746931140818296662788694616662495467252461129942491618255704169694983445361167199129027677348856440385610729691716864123215011099316568936632203959599253054723877908585248072110147
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 122 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 122 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130373001 --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":1100000009130373001},"decimal":true,"detail":2}}'