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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 #1100000008793173123 3,067 digits created 2026-05-07

Value

4657634028426153666736412995583428828108550943075681743574594297662753528228901545909916769327222697678250074635914307681404498020452172116461394551037105298652097549707667838504945003319555760934871926495358028944063746025847801234561687721376187294709452275735540633064989821794223914863755658476201116029781753930714685099828548887245688071195463934262997069777560052468134010297029157949073173944722496489247716773647274615439740048096473465173633593501128025771373393459682708219952619319811445934903714139635524871838196765924825949656733993273228788855655305539881650356303457620845553702899997414027440851982169493610699769542397891697824831714967364290583188280427353208468910443451619278078885383997916465151873969908282539531119116094724293949407841649599965828431961213211202036093028154937493770982103019667653945117886150631162751096643510207774057097130510693626952476042675830700723806088566506439862786276310419866538308170940663996064046201827221085921544141656411976111493906127419524627037787579400434482491233805173380788958787832405502182910859637291983387148621214712496761985746774771435289225536697130464289615082099617653032080644998578285423994547850741581315099759965942202898224892419402869254656731002814750447262431053028388021454594461778340233309676266990112745774508014289962741378759249302627208936024322648449301004707965867919465044476302204165254521480405483625085773101911861056433688049434816562751116901278805998089011566696411776028452892138332562890682382292257158716474051668561975662773501621402754339001405397993220361930109836394950200969535085274996752245049010113228084992499887809342134077884793417143763924843904906298036950319156355712831381895847263314861090861881499705707648628898613576924705712819767891984462130311052578240290186703389340479120598295257300168153179964073641758283036108450484530432677120279861109802363562176147612027944481442651618393984206915173863789434964534872432542678635668245852717514449682110058221558787488986117027953279835374771759854135418794457286814364642659917379065149397146177949200434277378860486540964989877215496862039313961919804339163487000617410015163002248505820240129480548173533465858981145240453147578809108245576111381655186089013369518281045279472839461287772836629371302034586116109588850689862735816284039495076461282078035175217058030289876444843739232667693791420604186059290692077993006700784678642485297338515732996774658463367132189062377762739190173862160062104515157256850689585237060179035342487259245094316681662056848562667907403590528296355282068102885615741746289314107926485070710811625081889966415050925373213430845248616914490224033154807031755507982915986388191518398497632060019977713805082182089694244184761110482841115875377639747601003335891129622546279067994926832677992536249955928113779293286690568905113847936973751287490364755772902522112478700092284956422498597885403825417333945413794461052722646972529228531739273001875573620924276198243050213527183344397820823254308644557312333281491375611767453301664984946460268835402813215063971
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 54 of the certificate chain of a 3,895-digit prime (244 intermediate primes).

Certified number3,895-digit prime
Certificatedownload
Certificate chainshow step 54 of 244

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793173123 --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":1100000008793173123},"decimal":true,"detail":2}}'