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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 #1100000004881817912 2,259 digits created 2023-10-25

Value

650399968220352693071705232762819704311719986681465354748587816759613128927710311620189621785422200073855422599879395418796060869930868113125101672552896070196080508303886416050480001454992628847132540659291043905359265446022873461988399115518551908926502976138876773735322520420545461142617253366291965015912893880096287829222808901720945687051172533415637171522274051217704932829612417331860321478908715843206939903488872972921743194982984704309406191761154820658473197677508255683049743810650851996628728888340007962219826285056418479891676850881993468801300482957562037961141027862905248485013010812762953264068766785182968513476169973037666681023366705666657668001128042003604328453469665514150692672749916660268248989998601785095985075768319558345155288546322590989374338727376595123577445280575765734735100942296524395463069885433363423817542414876989606753473971145246574301477070838204636347531993579672179220442263443412380202339133448736126866826270078506150206119220652851610516054662332290912183281365174095461593008818219065746694211749497209080411463623629403772514805736174402728712276647690444928976840659911340361149553807076212824789039428387552996945410909682652530122637608002418789545418910252562365844712216354618843687405113852361719882275238693166460287576157833591498876624243382373246160476926781161398213402822940012720014538454456201569169970407935526584303517572361901722925534834882913777512065169860440385952220588460032995170972832568140836250266185521770695147997983698102377703340803253392002128595296789768788592028668796125260665215109622437651269691593131167648080273880790299958298680165118449566943536602697422203376670900124013685299523333192284639284036029745576714211619832407351100059499517167961499698283802162295617487725172483751514985953519809510847352226580020836739829733356160637007792467391774073923201995897467188016950618607181341242851327736951397676862564022267635004203976294215552124762521301526750594652878674549835961760498131474470629090232098581651443095191215799639880885037846274826952118370697485993681746934165646806798238151129463808650802439582151521382683987960013213302165735387539960535546050938798407355884313558505999643239234102659390703138041339477386585330716130091097246826874828367
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 2,346-digit prime (311 intermediate primes).

Certified number2,346-digit prime
Certificatedownload
Certificate chainshow step 13 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004881817912 --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":1100000004881817912},"decimal":true,"detail":2}}'