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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 #1100000004862224383 2,688 digits created 2023-10-24

Value

518642627706887067681374317487815023965430303389386950444218786581072510889460035955306111086699543252015446039823952293715329242446091891346276005235615691579840367564631143838180139777384219391057444418505855142647218346954008693386794801191836536955963723072829190978698711363305682365178710113351185233133999000102154219802442024936205327790980089424922024998390240835601025283535529662536863610730670716609993068645706558470202776452578044575522785535463025477008292824833244563706311920077572318090018676606086745202667492103839370066977639911839273823481961601366932775907800062910723482569439076816782322599220157933521706989683721938114358089864875635240536563879826412539612504066474768380943626340572477751380359223619798424237747219055985156421623936082023370642242828536499129614477442104881328132675681908511262675419250266983588614085397687373640306409376955799012195982226042988600451638637386141582116412596504461129251989418988544190543734827089248903566953686744296188090630326444435012784431144267248331549435631862052821452188238788226796326067377721847765732829138729178299354587445035744877945354127636403146596140405223851337259464678486811081561779212259008440298672721727713296200119325182544293204637425083913027644130855450397492495783968289963667009010825961529389906755797817270979709759973797702859317241033045978115432975862669564389903420674780628936195524618587461420021961008487004411827928615454812996657178339237712634670846768796361998792592610634954420861118899350334662103341622338392569324624077949407171857232112122120629164253856934404202094883341212602087686587819990530514205374009070276930863372714723298679173650906951455771291081037026213960926572909250808270941390593940887186898076376089652393894045879804017782698958557268775031814508984576465966369974976837207346199885183451294213392014351045206857757842095497947288596014365915197908116078456126301618812083802825026695957090277327595748072007888071578638773121732603951348360628971981459326047943390771665173636683857527518623461163817541306268442172427998303609680374838930217348614265809347053456575745498273127710206539902085625303233435305756772322190908748157235504106146519545406852886809167481026195913688765458257198415051063620613428165667377675231237683986155837956573531804908835625076298652523032837566193064502308074465848381285052563763585364061748839152675128050083723038881258707294941590335458118080784088904052775315434183613062836883175910369060879582708220347920783119833777612779471773074171243209697584001864883280989675394166099861568375645286855682494555542873678036263777666501832165835105947674140969025282385658765272223536885719274017870230466726432692411
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 25 of the certificate chain of a 2,890-digit prime (390 intermediate primes).

Certified number2,890-digit prime
Certificatedownload
Certificate chainshow step 25 of 390

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004862224383 --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":1100000004862224383},"decimal":true,"detail":2}}'