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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 #1100000004816919685 4,335 digits created 2023-10-24

Value

312202911964659474998917878770220773629760538203371503404031174789974429741063268225332560942823344593522571521831749927605123718545697763629346945038641786823870509172513818309747600535777927471691536234343566106070715997442089833594937502186520301413619207830569604196905109340258553273385257557649217253594619161692121285249818167506855353940171681437024494438913112210650644739604815239097194563413347044751313529340303813767253885745093624196815353772348811881178806975340023428768075885793948590704393403008122583850087011598186919593084106742474253027648749550282132130772551047463225114168767987473615257839599654684404266154250816196977418425620135134479673560426342854580606004527655456944322937081168120315398340625038900480673817279122164572655886765836104798148915772307638740725054802076925699658217449899779805710004184138738649015275569280319962081934581933950739461876674824954576038206758299790729294804262708166739912657006922032075105711915457943056640548350089186421347187185546833229719338680308580968172947063044739124659407572792073547741781213633606473091566926334185641431167633806078394451874887667515823485629796130879918534044857303203353549590327794429577461178455586973405643881636741120820777551695718669983905376272166339464614404624925087208729366003132704369972297663150174605048839874436606051727746638408182825263237638221517229213986505104877984269022976673851570651847118247256907940603055051398778569904265306320084589261416984675912718255044147548702750040552356473486123618971539240820962535248117214505869747830775119888319704201908300338363128189031506322178279129425017767244520997124318922221260760957672685086793143598484127841036261631059007545206047400042840312120633930117814854771897709092366902540494018601215676067204112788342022293394551338086383638946232219330308553183187286490653357730787415490551222863239141912407355132901021757759203463789075645095351714232079367712824289765922683421779227744270631206773665014692907021507209151502232354635601627405887259507919420426591118162510662508823814446779064080514711722418555654064101970586817048061482954854059183736903616209080892481480847297357437907471272619978490853065547479463165970680224125271333630091728756623572087335934845190243240719934420034906258788435057424924464896475274737620841180047874510688313780009764502638789689163126938851525131699676694444947277467432166837161827945582078082720747768072871725214285081638909037504603528768559606296284977518313361939554308139758705428349628210326657854616628466407913480731069670610390801321074558030301578856978738297992896423480487655091196853497470208229131268437766632511789379736033009681067791983506740230745000824572825974913650027433963806842735244090448163066289786405531078670319377413874742685703324819916230777169511313951715189416993965490107580363380628077480760315935362521653526590318189526931449430983276394343500207340298832841306004277105492248927737300246138086391195447023225185245919657235626801554084972933677555394566650673575883152710379156446457450255721409430386554793983589277949381679474438317304925720862966504030282301373559059025607907930377336761240321322228209937147653605166563911110701050322745388790875418106705597495216212469928790916177676758134571109805137749988762586642926245569328029962380674121924508531595096869753622045128914295429138497653459326867738398968092459261544409861139639797423586519913824478364695801073985926401145152346522783073694232170384726000492736329455057287420402294432892231387618467735114221499073417782949872644561930106062228718148907990474325727215971954531386269131050459638479179331505713365710754344049089679565219920719670059992334956865874469392875674336018496268541373821185598714896147780922520091400888459434845339724058734088911257200964686786154154643705161791724199827113845306839460046667567531258122087131107024841641842649579627199707404774050813448231165652838824452124480723788277372065699739249146293579028790120002308288887713890766537405656278153940615937872239564235226564680442151016126292096395909323107342409687896646898956730952845195506811506913106848147869986411958764076763473647447631639886411001709418050144853369001148129569598011070437005743219606169095844501844998633433425513548113021155729937611732328465659317428903347707305036444599510972583126791291421898640721
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 95 of the certificate chain of a 5,268-digit prime (612 intermediate primes).

Certified number5,268-digit prime
Certificatedownload
Certificate chainshow step 95 of 612

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816919685 --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":1100000004816919685},"decimal":true,"detail":2}}'