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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 #1100000009117425257 2,179 digits created 2026-08-28

Value

3347569374518918935689516877243578033797425240208066222143913698661274098388087906236759325380316340182394562450021553987182993445221636257468273760639543309749517532957993577816759327320629082882369653402323426599158693957196905451473906294557517783741414606027276321468944255110309485893912373920419970466571780724433367956398470684639746674273967898565986007026890041132609438076573407326711394157375907959602881594612901097400512111235070155727443580858833357811240222618275871969403181765152266720168323839928092134623133148847495611602294913913716455869565291649219907596329253370110662910331837612231960994870543996863558975314570636097770922068405979479908504547393136674072552191880254254097571509836221196418975923548015120747682423521857640260036935499836923455547400634340414949583926680734069870123301482735264138400322470890648985594578120401470859338811445278072785494659293192791819590453201378128400038620154149312179584977399781743443000515460042858630092240749096252242251023745640847803323355808086384132005122463247546134208753816267606115169184885756081844007996068349639359126157935174474769104468335597820954294006971270844857023497760310601379118065430793867362125656678095294026983862105890851544820377708344977012356808617554716155315084478577294032943469631567702746699949331502245142026942001385619050904188729136026694343278930795878365996693373907162456082529573363467788786260362922031992193155201038006728734749612055584242771004687684147778150525378103665305506308213027193394947351057664641275892985128826900244514076121992522191115766235543935390032389988322749853662014647810659640369913297131556320722128020919787481949341654542054964730148508633834821986721138909895057504056893558159239450076640642844055908506779888146221905051896996084016390484019584020197419389172744604973671163878723534254198791767300537291521785906837197793221193620299426140425263283343748649819337147769565660282154157121045573683527253582874081850258854902854533008447881011153750270789336106895081379377208790394909592128202797617339440968802221623924248261412363296006080463613774699800019392036030496063277970825459970926917942445536214525471902110097818409541
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 67 of the certificate chain of a 3,029-digit prime (223 intermediate primes).

Certified number3,029-digit prime
Certificatedownload
Certificate chainshow step 67 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009117425257 --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":1100000009117425257},"decimal":true,"detail":2}}'