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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 #1100000007222400842 2,293 digits created 2024-07-08

Value

5588334370978713393330571662265615632861563840366278658420774435164783459211645624335164586815012967788534197180540654338627642347213238973077743075493790248018883480619748322432830181830400061861492650439054704077568634154626387533607457115609970125197639682240585040557903302986857186925795289239840387274179601589569743878160108031253077184365668284915221719748685831087810676950550207683771217088689092062696942621036692625804792506946659135880042255380449924718797748128704878561407905981235823359902039534331533797036865859673876462099785212872868469556370131799175385046569877746936949650478752137532708234415620949788314527611830246058645279533341890139566722901945615019995639843727835295121022704962834986908176607096957332528013704074819916436245330102958024520180367705536672922092124063247961479676911666556985194529892641723149724727180451564890800483231627313735734420811470332929522201919275933104251868448635802952391562901511071508169699324537257504356066065894192679683597950529280470026390616580055013879287712404301432866940665407100625613272243685582524077319522105526069886173671755714231946446952992988910460900581032086818473641209469030091190416866912990099495303030511097552628129293327510733865956506269082859391730618939342654535456430042565039973318758943540517628298742610460233515489691125545987554846186381362783198601919366952412078138454268062572548173027329001156420777906022435098797753981320572406132026861687073958404257385179445633432295836090046162755395217763659560161647011076622144519529769389751422890075751988157856285292508574067227467841372937618232613935777519408150681976511128341238934703954325191808237279507903018337691282752536955329645302137443675628707629787533354220798632053792154871960535426429768222200545203683994240497880914904872655732911527570990075804914471065930669387766602020983941335886817070633670106111633754321322306747833470098252831580821317960197654147073397815233530947120329702208170413450841731745867982765760651108605599544221152713726095022986255646061241101199830852946771966416858233748505361835855194855939921165106211133757938873841723515351749893620188187601763168268855024725062119841570672296904491152257157330482564718999924641671181071542078768991034908357747762026173252947809394621091673440097064706517
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 26 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 26 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400842 --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":1100000007222400842},"decimal":true,"detail":2}}'