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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 #1100000004815175299 4,752 digits created 2023-10-24

Value

165474426175494637805137577287985672440828905331397201921653517271329258883376386601428071495843400606373429697998781441615629508470980413163665913417902261479956170414810157411158906844472485658169259830608335811306432586648735132937049111961796625841973908631263198828353740644543379709522640568502009338906950438145458243042124278511914374628752292521423743056532037277865373772678046026817672011599944199504939980558357743254066350713049635891399928858632532756290316033230669561900739193917996742390089054997748403014658594372370822929995217177814219281525803808100497916636860089962825925604539358707604526860545359338855938375105995921333508321286156235932089682424912773105479069639432031751028529366902458446847502494018981985132965694407888122663110795929537860053268131514661527755526245980862787732071025142495293273389260518290901344547275906855657719636159543660136732683292133274799713624903243168708699002999414957208635307550430575567601207162157276515252704326722040060527430556635244138579143405530893958860977828806319365198801892677376958686785186820247925385776372892817720145730367040312099556399178932529308214303828414084192935187253309390479338900608064544247994984790779834232229032333285785354599606115524566464891594371962307370299639770419426260348800608359014648402343575663565874620138480512887950626365366773035654634494652761512533735690355072192310233955926019075383881469561848203792294432157471709104780808328594568870375651897487907468549327817138631913134161096538038877490026950509434183842873932527427518923895004881662107797042795400104051278489414452785944746262049652011766897554166078347215381133013032842983999373809652327835181535569310810142173102407370292203357709524464921074087224894180779677306728383891701961005101797748642054531958457227871984366813033022327635760713781285959088489002146634079505259130388409940157628768293377802160261637133300362729263006784589233014312890628489557695724898736430486473463092650694596316213925008889629108229544811441366802585665152042481084966494795669823947868237077762963375483642065070600461510109176091980488284467981262021407182133859262741328297529636899799507126159410951718930007191322814671893702675421382526423896822546715820405036658403985859188880263057387954744270634887565598519183796000686953951290291487387849778905602917183011123267195837304322272359701112942440225163228349181282237214854369203959513246977069832117628025885103305368471416470792956214332660206938215921990308696351003029794208901965750955581484792047750335243489339134043949774470696190805490133981719383689050039200087648458563767042075563173868396736760694168147358472857022755334958459859677580696234302521852484317556658437027483354180402157197879444325810241071947693880966910243931287685913713358856253176076852027882264438116585829734391753295855037556872079328379129777867157232898940601238439933095460532924883014183675179691776372379674752554589690571886409934430554776709115416303618832348339289515521936854810805442540787101093138986742080662259860698681781177015886819307729631619822749487578998576112646407434682326074213446573968012657780195496056646926518702186871462458958846978002130610353933243901470611858985506842432809409397893941908987470462038784554105980681275640069313982716574839380796112632469888655173676805650248461385675848802958627334984350692365735525928661702691627722771460266866661169921451465839941077755045675729028349308961086429833318212550839025990756659977569886520138705207171115303320972309788736176504536416556270402769220980168491372014806565055663646361438167164567345321839587558664996779799593405201249452739805424819519723629291970991342892549994858621028686990876689629675355875365716739985863559080372774963832079811609544207092347957855814654912852843980652274247878372139911731845077061159198542304387972172376128933149890048644252500737011815453889567228198311700165784529005187986414653776749600827839500766702083421209577877485289440083026386664788030893619640409513136377045789606400295323245137251537161011393115378121471534539622742388615127166828871805231666922242397681327423735154279943121963922808728489846218011121180125389257066258412955197535193759082505126651333157748613923699921330932356656876622520405773869156649128156267055864593580247461471722406911385972508509502215860713028575465266398769238499754849854025094907726217053985408710117928463997021170038174242203591072192177620506640973696702856388432359590285872289181569488942035683528505497817732554436112785694343044768332015907731046078060409506399022064061225015676093832778436009063330905056313533009112457549984915962521373030686656217361166434655035145872253668912454948332235017539409984043880179265394993512685540814158852615592034183193637
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 5,532-digit prime (569 intermediate primes).

Certified number5,532-digit prime
Certificatedownload
Certificate chainshow step 75 of 569

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815175299 --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":1100000004815175299},"decimal":true,"detail":2}}'