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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 #1100000003343076205 4,550 digits created 2022-04-26

Value

19465424982453759541075822791709369074074807751892946556089836033203720133794994910530774750069406561655877575677968164056953268676231528253171027560690402910771104670717403426148678526861517205823053960899683652095311106790173122154749349491058211661808682720236221583422135491974372208379702614240094326198365319684165132988649116038729343286428970775045540004459471162661265578379616173077912511322814251102547200595729357037486179940008705472883106657312901109945161154062686329198927434161538241593106086977253212896741735465041571609883760161047265660023885014159777725604690012582290770419351941516337003338888783197346049394996807600464899935779702315224804147902862933244278048818918062705368628050481971880780995796163611547735811026918360425413937228090022116631104339923802240947929397070151533747566219726110447897700573161314446965907997299651466317755741410616970445721627830409351601119903832923086805048661441957455737460219093765267364823887718455713528737747293504482224620712271159725439810271129837747734750763853809012039299279536145100708984178671642742696765742368354391306711185392939336230916070623680057003310612658317814230476726437956517174049470029880367668861485872368649351705789421445308300503226489761456319655412461585727291776026472127233773982094915887597323003519575650465196824209493032778388510321019336388649831264809495022003870928071848616718407320647830773686727433076326069306643879857706510244840860374189669788259373537605632792911457425098432202690043216245175232345916320757509512543009312230920183921753698955181827071039307156543355017119679897622528364826981185032518379531421887198851601916742245370655957776947748907634622269228966219037874173758778185962892659112330541486227033248058327525417999828610147646666827862393643654759897949802125625926413732266797462288055768941166309130598865156461767535730009420935849311114687202358978405263795301514596687785815159745272599044356818738812201615575699669719110539276420517802700808070596913833351479439842204299155897514770468788622639002836861917665530092864936799104580714025180559000862724167751222690571968418816155288397581719547595900381270487136050496457826728147425001228365329454284557820334696171598323493244703639173960979404328578954460814420499105759892712434360998078730708969929825439045959097441611679273636087029205040836801382202896135394899018110224230079239320114595580494178905682242271352723508188073590653589064009461075303057364299462565136663975636244377416862096788761816983447497470175411663579381897304086569808272409433396475508524970672273919491384712523926636391695995914937198011326193560826542973240565570741071181414060110223066126141743585942909232845636449448234795268447470053089701387591992936162698904989332096506092028999970404535420481082381251434484581478107410944512285176743863110467421043780997653276253503789158579731236571021115470452287046608999457610988827289583785345578453055052334680459288940663181095445031839967509472742034895065258545967994378662866801203725521255855176857975843182174513915374652379617410080555113946394641779163557085201858276978966309757198168915780894108340651991827302261126873616260240163548801443210076862792399011137299412046404092693098163877494079345869273172895399903487425231665055339371340098245426528119292319871950137361807024817856094267084952311349027686916187635774401954697220168875499940859911271925900357149312107244668663835620459815468765406850754995784416734170134971244724839141796314608284603324813932363475598742394565701744632224555874671814274436695085456295809849095062036067280242763874024823903416711452707483785290568704378028014489302283608825956903158602234223496963059852203638749886943118914106341125705464712610938061707585027627956974418207599364383480555754054529447627726113437254180866774213412741999416734429014558200692125736126865528689560133971479146855497198996447556028161607958599420260781461911181522598624098139351226817094953789749088227796488976701259297059568881795786002129359357051201579863102793069233200158755499567063914810108689855137723790402934835570471127343018283080092897863783187250818042110335700375980143772625594510713726151197421876619534961244796701662795526608882337344141498046906945590151570003912246631195945596788989589147020735181318243093646906646364058632883406212360198874864827471256260724194692564363412432838533740794615473636519099436981382850814460354004874870301617532028546429473094907191696497329291474567236037229145626302749721857500742570879664674129226358546296920287083176254242979
term 164^2054+163
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (4,550 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byFredOnCyc

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000003343076205 --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":1100000003343076205},"decimal":true,"detail":2}}'