factordbrpc · fdb
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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 #1100000004813477184 6,028 digits created 2023-10-24

Value

7752292697397894052245584267970798462496807202658214087260015033389051449978809253283343772224131528885695360386323283523910912682512803082532282669903042167993593204831120515562135808436432474931655559042008441165160809109956216568404583007008426798650256979612444348581870875241609682658868600477338349074521954795770752066368356847817484289033092814893273167537265478820770031323738221499137974611945414330107295398439724684108870535625469313729101621435698121085578237829003399067627012923576063834567191948396816135887430422186649753504287415499182069684929673299689531004216245416222084462053841190961884707620401286423853017541895380745309954252297622979797272914101252608683887882178825754585218199219393853156850993969403012079894061908254267495916201235356172686632949643195247375468984460835472156564293957970310195290477295974752931028109677886073508736132218519167332748868730379066605438332238275667408113611346886932434981900008160064606622416560423941786151981941561202656515592015262765424013461342828004124104886721767751036138793705096705124100539380098291963107364578482078036606018121023841759805778866414571080646900377795791406326368784706473922182946710269864470387379505282849407105061215490760790153715359850236026207727497950409864115232978791312182371519153490737053289929649483979067617375300913900928504076244505969589710259777838779159858476978161700101472368328245557597944192576339121633316030953172256257505490755053084787452648355081379359232494136113788771997347842651041388809984650682720754667924619975124572255356823027154854915677859883748785868757705344054165449544442230908671334464968073105385064355232062698591189226631091322527230315071272308360254249043828791539537559857384985863297010825893840285429552267942796452656815387660367022347766535186176525568286549621141523240210053844591010597828369627667693939441738856234231276941929548605452001138795692520993184990984904705191939537377019605643820787238421048190599170911168543182467009907026883862560075907423228951039378057934751766783267658564528566681131871591903095889668830442133713733395454886334937751777140588858051915095136651894781386978464476305365168237101121047758332549333330082192245908942588755805099589928178326250684886061757568538967094764816275173347530495833875838930385166695581823631991966860641243120631750380526833484844424877044669583056433582848663162713977631418216829863875119863187386413141642875199707267767242196750494871196604149249536201693792215399581491351960947026954665380830202995011914257484411561312069747450257503944747512244075156369337330098659189959388408121258797554169619095708350081692410999411646956440251232735464178937321457723949052724702832033396738066775268740164077339743405273227709633261621761718056114600910010175282118644056068621718138627141009684392307682384196728262138252467842803061125192825945371489378962039428458017252487617897010630806028620865342198124447763060564801352481618922551721088005395178721679872024904940768417712142580494459872602929846332346500779722994925225164366810623855350000373319465496931035443997309922622636771158984299390767950451056859294530083083652205812532565711743768820958058476070112476721059517383546508936654340148366125254411119287582187824777418924732230753557462503407226724285606204562947818025835551510782443357732110937320169910829248079617555855528129379762099416930282116211382190599814622962688305965503816015869893923388332582762311250966210001737305801971863932685796386213111479064188015790132868121329577048568367292619144345877348973273537309718436970625187134983971847043683197513012758111541164544872800530098957551439082446990452164005821635100850806234620745305433760166552972291213808206701025501753630254139388680956866335412105541234024800609989799249685008255346324778803293177611406048700007585620326516841580705368736662055573181722238441245337198507956647816000440949463248109867867344916059825420394602401936913796893800508504051370094632612047002077206837423049523293603802423676281799482420143538753849071782021518047615802619570418650637402228860025410812642196975105793723694388127203809366074866085006516944388208474546840048222282004225446007400593488946777783112099788348537419772880053247455701224117582112527717260253244971489980973595982533212075252976902922804390281856498250202501238975133091170029118332917232349940005723632583838621001640429201428251003986955202227032293994444701426695548890522262418482573468798583274529217992457074635484228685619114596177396967627889301624061422287425324339819974457800114476380813079117679909482787975703534921310777850835827344635447169845781397077994384212272477157842223680998078048048524896589315663838970343170904352325767632498238790632679354239788066636846692223943094100681900468176314216570729437159158786835010083380191916972762775382992084182558306135580252724017581212626419683842393085010202183263560782330857376046929713899991847823724519614640296496826366859705925994997657982995205720571955522341102983842366811877547392446416556225287024677708423427120970793345252871596406961126926708254793356167592955304661601903007712987020506469562754559132151886618284065116084605111001765398818906771851530160916763555380338369271727134907532257599057245991307811201343725741807518308941110450149577865521340665688563196515761371551507529295571816643366626629755404996019887201576469125806101736599101426018656197054146331597849144285298677232983231508959625784976298518332346401857040482251559378683008507237756483419932074007395429372766188702703618358888301753493982879463093837256518555266588691196951846804129943236470158418683183521229502283005532905181664212659755907086937068150847387015531468712007130781960110002507303062015949705247049207835065133042045283848014747241849698938763900274678833910100892950211724109062652036228879129474832467399065490253915732985282383070757077120943223976431560754171489330631320333702685503916853719126048768076688888024213777250416045691267723865760465569834284562275008190038072095798136362208671
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 6,322-digit prime (637 intermediate primes).

Certified number6,322-digit prime
Certificatedownload
Certificate chainshow step 27 of 637

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813477184 --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":1100000004813477184},"decimal":true,"detail":2}}'