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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 #1100000004880896173 2,029 digits created 2023-10-25

Value

2199778595896642127507479787264653342898913464168690870147130171793955441846629906869797940323678182005643032842113061080099291774729729076760070114430340511098654753406103642995604313814782731975754960842897242672919868509961491599961711718659623170068542677373257364896681763744524222357600993714600133362474281477290332262275413446058134536130511520111792461345033536781083318920262058453669277533221266788494756179354086260144513571537712661256813601435032763386234267146921418917202954649756763446559309998232967941475085293185315921812430104359939676080915227127900571612399274217455707202156313189901613451219763806560655927244816809494496026186474008317991918392773705332253466153288758605286819674126987603230662276460289780483590971251875256052731282186285499038417525823704762505605520624653649933661529790980956514053400368825902251010640343897561714461395023208161123820395689179327956396046318891872727229020556523221175846733692646206184488995004634899706478646999034035675942838669625616582186217207005142006387693583636512639570313664338486253429665267229634442350729843136367045193619046478839825431334987938661437275414210637096355728172956043124851683083374089200985805101690798414136615820098029037319987746969375173438866005510643488175630539097291178162620053608307850483807998041840132901274737012671147345650205275692699456764984996521522682623912269810551978051787899720083568585558738537011527382949959240174617475163208440526340798872001572806604979333737475585459594320599883884362933174390589495512941728653105834623311494853744984527330380190785915735115185728109676937133870603280070083765330909852588485641408650881582738968640242201706903540737975525340259058156490153984058057186964318787425223813041085892879465698872319274959031700096987232094553909933695262413824741909697103088504483065578632485893962651860866324913462566857259667058246301902939230614375317913501197411826613477765883853677870860745552785104679096436209406252577945168756769491027178230005349820551026869794645422802728577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,364-digit prime (312 intermediate primes).

Certified number2,364-digit prime
Certificatedownload
Certificate chainshow step 49 of 312

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004880896173 --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":1100000004880896173},"decimal":true,"detail":2}}'