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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 #1100000004813708349 5,727 digits created 2023-10-24

Value

889129595180376386650899776425328798376420223808555488265370644195705911436499651444986108859009846516399281119908863988185129210475677495624339340662697570171806088337972595564327799295717621315102349445032714934290246903124431508884393151904491556123689876310673410961748696403973834440846579258392084742274554826927180724062301493623996594803350734253098360309392782101885530396445203370716812762937122027364919036241209820852067299138057280498579352906117615892259549518512599297194828451905484200203241125831917798145303931820428840772693801590296580267382603433979656121762910785436863614985852074145367388465380069038154997476267486882928822198464548387064032865438029741997953257079800977175665231797047945131093589742311203556414393245606977028851103178259393629893627031163208990869902382557341423137610212233705582785567862088901850654825635523880252306906849622057482666105116291113642751291299480963739011725216564759934479853793103632054807888641841311387912549066599611066456331404580392877011579915008420134559965189349639960077505878828459320850409284317951127876327264440042623988693669077341568933594608716478825626111357187379202023706755005300421488796587271517192593144933119911993849309038923231422497192890387811845598524350283967655808502379372288658078540354309941758026994611974094684990980133227371763204458331143538987831832169843409139310106699995153475013343018675791249158431499093094496295756222742560273932184895889511726140736480505671150378287264095026558299649409725808409775268549436403637302062632547124441597784040006611098097587261657956981505906387417683063290521757678937805911059269939157220915362758399381965950326147809576011826527801698268998339087355941265012561306919247376845658101599268360066387588667369707178084303428910046989162571953169344413945038572243651810864395603705745119930156348779135443429672141535766132170294297648917882399570394817824769115566394448810419275621051107191792516270343713612085681748948507815742512045005233622616426755554219260095592458415457504619701431546255804779683224195331156575365553055289186521940953913075692399676460308063662003807683231627408631467498033465740772784646014964728895945985381666124097910028682317641082418119264602590721422356819281965470073101404361720566811954610765466354107218603103736236578492375518333467197822892911373425505804264941009903083294897464384326779591650874369489644804536244857641168430016202408686187782116179161472581407215227491395600475043633923957971317577359838556761923905268626826457705966243231548119390425318135195661766186202828090722355449293386212567646145444194002160067802953579551517793786873733852437047618026012657720250907526741719470378619859076463867398681149789609524881197253922827694025101791521969548586389137693310578734477369842780947731992360748850107626198457657277513280022928377923799170573281118253907310517345140722117954681487713417778736469474677916673828286183419678690301148393593945067421163473246395204432631600966460769609967827735980060825007570578041954352638830793551397287450795143819513972937056291836691050306052153238100063863885561466463482736139333800458357692957412212717122962409962173865963439287156092121854651434196628748290142541772860794310932786428249852634178608061020050160097678606937291118631828105578992191234665531491011987367110483999372120291297776753363141711586839607010007024781253377231765798482260772018518246079365595338291955194939410539603338360267923326278904447753617320425004517663378550742740772752554550162808593134041782637998368421449589571966734682448293338657262092885738194849048686946296866404858862711862683405007423400538184792082895953036137638754640091998022336391573179058093406653200119764873431183994725734273704375944287196081513296829338164091855846514685368090540398491503703717469022543930549438142736118603222479843186555017469549803443466677301085318718938244229963261679708184111455963688722245724394664060722032199588877630544351913369382122317214020531082063138359667437580493001505526562047225452440797075154735160042793153518522108115167113406675046421483326970415161956662678635916746741736765490739731167626883780954857667258048113235675431003928827702531266665905310299877190168979889210579693372013171017497578218179738911729142850153944669325856544474223817130062440966456021595210612877378846092118068094342301122217639580213591120051261709999741011494181629339188994435548813324388488667371572882937154476082640699366625323556351345246522536438161697256671136222099604397883741580792760999790190092510787173174162560212661221912986291164013067771709539986868480811216695196455004028822819021554192138534959862207650938314464005895935261987517393368017385382456584048731922218827509572805267367975972144755636573519536273854864080647388060905390717256900010864763099405566591881327032698950617991453142907269660319005453643567627923822341280805669029852459110654514920032336170903981537575307822688906050581987205118900916610732733879547031970123931636087615046644519128205959524008702229725908591287317131015718571649638966268029871062264649892034748864752926543372463637382960921097635038971703573003353809398194359999800264277602836619561673858822345845584643225152829211646000842183461643346942236669187954310230258184151227018467009242303876900894179969712058175580522530209278146098625869850306582675330384023781826806101837996629808735500591194296842429429504371307920239343970297608465865059381801314795578613646387805358462614099318083719215850357020591580353800252691243731415446022432344422573224024259399134637914974261659783591433107294082614677956865524815117754533971986767182557432291719614946342519695883176093121043578007488172222235689827957234874775378107416064339737159
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 39 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813708349 --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":1100000004813708349},"decimal":true,"detail":2}}'