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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 #1100000009067906516 2,216 digits created 2026-08-10

Value

41639321995517106226596308371799556203860192968936457174028210261793072511310381787511203352020344773869442105597204216724161861171044348626598441094186637081167627175645756782898548265753254043246911335787338390626865926320309899560031318434906826710680573293615393918356523870452564671873738555047520087427498837435917934520732681806605540170961254545024205524751938725442942488268702243121235984959789583219042196839958082256694936521954722854220528709511043561855426480111578262531760583996663831740284231451294605901484153363113833539584249910302354800213983374183301848665518987272775707185060601845561226805649465792523672271188297208559366035959567907994015417227642663368658302417181696869809809208965286073660954222850817100291911956623915439382315799197826316394865256560928609380448964967743765974768680840840087551655485572502531327925254846159641364799674980193756288470051116227017167940404548944413579250225236474167614079815318011701763890717795157571912685507394087051948168014013129982735017970781870971254386969475990411404304268638725133123689975073564274109607542314899934091764474092676667838682049910449413009065986494021420748764275038298107913195005527705604156966883623097488326288901444537648567065688599098283881026395913046122936132098434332395306370376766389974446681196732111538327594187500774221043498549886825844849623358147448873866212270283456888111202113202031327419572573898517876472756626362243984981424219457529580950384851194533871224036782265800698243991650960240905352614100668789749459953195714351774088869150281795210577516147880022646478156117409501184648097425895871794122744973828404782654111889335650323825461502117599322118879457395217986795797726158636158828809959270580865972812592212155059025036600335995137576888553714102455548273454397504691220494217728110690509236986062717321205558009244108775118194033330280229959699892689403878151841668636574807468912388075803375347362492687463495703004843621793057937111931727224355055491102555245718550327626488342727024892980573435787636921686415028482669351212714628057018627666297055237506770573021251505713479922036357937671038900379652688627303822516147690526566096338161155829803496262006106967005778311857573604039
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 2,927-digit prime (222 intermediate primes).

Certified number2,927-digit prime
Certificatedownload
Certificate chainshow step 54 of 222

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009067906516 --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":1100000009067906516},"decimal":true,"detail":2}}'