factordbrpc · fdb
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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 #1100000010597256200 2,223 digits created 2026-10-06

Value

686634999158094494058745782306842342097432600834623895918642340895017815112673642314347201447343070712238608214013363668793450709745611164733853449495205294316941721459840556192245861170631580740070401546747862801742007195412695253770846496609250137050303424829649834808195232337047015437580449540610025210411922743758070960761439766982185367075624234192331912104668597466686870688561069380560663800948884407022643098332924011916253758694556251626286849182887834637976180318763236912692960678915073158705190171205397200813462394890172261674046062413663622488156394967030028932537968789931356473818062289905448103589242404018808549528464396497199899500293994329001588776045388617516535961904386571249402940871410710757121480960578522903449151504090650724839728510874198716224264934969614475218226847467059943808934171724609717609978384635428168574979026504688114187933943180162506181110348218535796376774453212770257747899121323189490760317512792279399117832771526800642887122388991548050969903721101951324516952714138294029238577486135548607536212001782942174668945309564794344652819398466866027731809803634471712874839339509109130402968158047632590449776643479822437501085812944828836505859917576111787720593489513240233766247763253016352986374295842188018034560551833632482413979644443233770227011281026410603808162734772390485861197259896358967318208483033150445611538605503251764600353792130134309392362446864147393537115856184776744295802338244652888680685552056221942221956216724946989955799305897570022586396523119037297425507430715614531478683510980140457662246009053451756175998562042141498206025775150727632081228087735325107236313835724610000624401289414975402370801730118036344973670653377112521024916048113741839966418713098792227602514746902762600408617294020065403598510965525222155033680625889714681678067426092384460369312246595871247628089093935901520952827369115754432174193868241156919833035365676994293404082630621980934276523101561553861082757210792138112013432039931309620927533734050168955244266528361486213628347059558513782328772069179981331092328364895487685494913320280386646830429648266879574761631009535290175316888734776864628535877756813467977125696363809485112379402353396356315548287297101
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 3,195-digit prime (238 intermediate primes).

Certified number3,195-digit prime
Certificatedownload
Certificate chainshow step 71 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597256200 --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":1100000010597256200},"decimal":true,"detail":2}}'