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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 #1100000009068053826 1,683 digits created 2026-08-10

Value

173585233105030624933594714872470211777051316010436205523926164142056177668954255323665254096249720932616134312568363358678569670145787483116705738335419147902990884483973175759232387176419913406404667139124945368270654183552123090440112640751319678705522474919137990926463026213664732019122902652991441418583799419155742574732688898234539787824126280655246061154631721115051654530094608533315988440616055872616144441267804608313787070116322524820779229441717557490291063129998465699971348073636502488532954527100436433290065180092772793723036569113314823380802083269901854090348167425106575582584462196106683261582494034614728495662858462228361583755165232479161987724397375785020698557671376234228176280650321511729029789826941788951780970614970130508108026419610002720716489745641048398210438233724654760246958433565013272395694698955669573999436309037849364058316908577516905004677856197089951343891751597248504928722295161714211151035505053212531637122888216882580501257987476434359343647874317939510695547268494367794945737805569935911911310599464481525971230138192417834193135934680933047246193110042050042713666537275022560697018925183128282717559304979314619662037275653302735487298952760632744988325422097422476206679989664268058340748285604837388480361714180248290459980609374308265937769091897864489596426059665567638352156097619100905379932472106996358989574916528746110620277319771443187826478204951569061253938168982924411320520689073411637237985805637240174282021513687471933096937294379019431927352522348602669239012240370181301798130704905478560256431400024451999904584930056377893154192567449602051023305599464519337347302449494464021335226377829211154153606555721
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 1,745-digit prime (136 intermediate primes).

Certified number1,745-digit prime
Certificatedownload
Certificate chainshow step 7 of 136

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009068053826 --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":1100000009068053826},"decimal":true,"detail":2}}'