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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 #1100000010589235551 1,735 digits created 2026-10-06

Value

7335816337162969261855206614542427482688546966546356346144562841940663789350859201649204167073315986464311839089798033406212070704485972518897009461120994129310589932319850848414030910657620317260177267094728120715531413005944936002117915998027243744527680624068008564969906639505445018685872407353042791745158635315702356674824362657292516080573004583240816489208337803054388500038552755947588992189262052933890603025621990415045753141967596399933501808482818700931682225715540100131670342321504518858943822285416665167351416667912374105002141159480065503248039373978026814320607168938487434150325890367515713712015692607314145098404428777539411684844426934239517202687033267822281252029228207197667823824267284490879019211101090681376992442779579029820820447209311368975443627061556911062747229890934497365622481557960306571630384409063755273583620900838319109663520338789432810463127726602881133381805641626084916318935115085413641734211352266060255971128051226921663378195431159877310340709891886051290882813478799950655628031893714820138296607432509315429712652431020195346828805918719265577688233988556155571676183112436822496847764679231224255791731146728878749562715025280008276747898683986930599199010944751250257664455136192205421070434225537973842019514265716711107546923193852197420747793302390124674922920542926385929506994219919259941398184415281324775470069647024686567342691730696272416828642042810473450950444078780728686100508840856366900040618445536589959467586031276815596646433213864397132027295669035871081447630216455816061879576651402345073865507079240432037477153620617210993227678440669767661317635550433532128422307279476071061039599224472899511585652566557266237567352227045043805990150581025169245413421761
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 137 of the certificate chain of a 3,195-digit prime (326 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 137 of 326

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010589235551 --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":1100000010589235551},"decimal":true,"detail":2}}'