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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 #1100000009055694108 1,946 digits created 2026-08-08

Value

83396342605952809976299429979178711888761820044827167619936473936980730606152439113919305398703653207932071107560203567009603645208161581008339724468150745205331713597896981553931769941454662649273965086187094993927809276041244687335871867743986665745343264522382632645799887534215324754321390102240499388291531253989895218168739615457166338364420635802615835260258992813452240171893925859453034749850360054028151282263125989180203565132491452948327893266683125596031666566741826548221070652652870104348653642571634334294740799650963619256925174472031963445320703035298456200310713124513125280509706096166644357859655421240977295314756384148584074829076535877669191979706836681765355644917544103150464571670786371529411450020295777997758799617621405774975618393564229837121350910568968204235346237635025828537470166417978959998899960604732896960568855384297876101249939562335168887783796362713045049743952258916128054131991015368175527974284628330163008686631831232602151374922031571452220782274678026455258195960902077372473770391033524783284347671673796890324015036526245896130022676928767672867246238747530322724630452729561930309735195504515927890173641049519854156737518655880814612635777972326067106725649752098951839452697416400809515676510426395430682980056993442548085432293204822652835773678051126933364667526838037258579589109787294063139213191007885454812089896201241764144850849928192594867461535083712873759882415034390951104890553497299355497865421095360769916064346573247252684043514969379088131498876692155131945402453837698440141849801023490837032009296943439680045975121872631389615305948188593221446875085387721496621118551256810092246488864466836911480715131227377701870698417760040790500352203152912520629715469466389115199298812007973310637653524572388596126227752500480297381875601135970333033273437186973375503884368538961301237074424407264076339726873834140082451156802411583747577648132339610201452777485488551018439301
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 2,321-digit prime (187 intermediate primes).

Certified number2,321-digit prime
Certificatedownload
Certificate chainshow step 32 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055694108 --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":1100000009055694108},"decimal":true,"detail":2}}'