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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 #1100000004813708118 5,829 digits created 2023-10-24

Value

182533650624245880720958070300454745208403356751361258129325821938501815397489604668172751561521063970651216518180647909485943328301422552086914058510194800236752866770504890111059276776433346069539389872632804196973454525624124111074824340684273124529844222580635247556469912082918456480372793918521374984474580425209285192379801543921410064921490755053093190699609197611636872747834170109340851787842640786729112086858347250089887509021683209904135843336806981166160851661499370488254634407495228677634338512427058573184150966350633328004774854445961773232262085833714182250553971202443734310808510628678086468967708791401638637181786981582199320004796175621731866415557496345132150636998081675796760851846491577439730147332473638029850558256673976550615138793387640406695285229344983773035240554935124057149388980631659780246001381476705620482228979654772097770263381760045326286420599135287018285745391302804157575076615412387551319170796880853984576782991646103126674324545342637791665521755150139952205403685518642296938697737447158283282974319381734542330829668317347050442148404158019336603899415950347118344673520973655800988482461251760484823007760514947191658650394948404921263569986029859083214715825276881909769350200252810454686535038700834044118136672962986923713567765657279972698785432641612315775730481396553589969388492491616084022560722463618972736998919387316176247921867960494231953999826327403209577210466236265886014457304901513510547319439300478821774372086167415908949455530044688394969808793832481102871106390535909720099147150091254317326179180629303941016203765130248376210602585975538817166621967078136631079665235256132264071718760318335457172219107355665886132584827010167116942192526861105094208226766709039331196832732704254441732837857153354253474874780423202190926402699622105736732414848677120594010599686336418659766871196600030337911006006162469592821864152572642717786242778241626878738418997932803076282162857691588698271929331351381660213300880870258792871597128799022939186716639244941757627333713042738255094231520181668738003236299945919957883746635627896382266422252561213347516494657217937473172700753325012165412492494758700324022706659123339529092691449415153482959338151484456333114798572462451412933355405474149677107436796860938959427823940368682389281317597598476710455415869519181185420698465891888469032071785720921496719509414555690738128214833232721229126356592106287165007365341917994647847410476165438730034105410574844184194550236593389570701979966244169761777218022364506436701939279541556812604880423007412564398987549595336170146568932946419355267123897567407158104102786867818288145942523771385404182124609712532349187016059370354865054136858793420702168052066968269513489717880628894851678206919669721690683469872577768537447489713633706948184936805665817350433792485184957736337277813711707380695875868004821891700311662604533167724587463497306642602487964316021432568323758371377300099355022068700359585885561640791861972257544507908934926687102759238368416576222842275564829713970765028481863978719964134760447867438986349707012461858781471226116773260413325743463118199471194669332840598289857457960909538501196689441263164150475800319914902843354969881765134391196813891799218983313924349273211066706060334710218339038019830244345859716278830409925682170828399983493910332383622705995339836568615048734965353255658403516505798362182147107105879770622344461364571321399806164908051740032135765939527635929319722101786729477501052955101433155342569865440046097423637809860133006003331193168432831708318244637113399875046692581365404026296946629699471635880952170472577748190214151376772569169437710646990524329804878143998780192020552236365194839135417122821846283117873218941978376329345744443557731786575548886461552865417350773076768014700965405639637760872680431480067044148161861795559665316793900770305632569408986611398157156258437134740952689978161651059733760530362515693797102096423520846709566607862824680603624222118390126094959731094241112737844624855839771956396976400234039041798091983380319568145716639936102473207014973719965008119489828731808652948653166738558821430493847718984803073883256812750767114586172340068069618086075115234743152924116958095591903776464806882495714559457345895086677836813117299500869514284162021889082269524927989585076299018585862256464421424379981035793808791611404979359966568609532628824074891603381610268779848927171417394646102303729814621651189780315640486217856678581080260413287773002626372432953689302326790530697292873967585286501922354373220639262371139759962884944187760968832461716089783232341673364778608920885571607570716236524601160418602899469314766782204299793665362276973742556952021709874075099707963783820772451942457765371454443223158076810253992663796627510152920133940826208488674106948895544854568002950770405549315749301392877100479569619539669870918231077769830064143020970180168330881362923102796261457385888376967324419076926587224854166548652350429482960256180390605424456150205371591628819619343470100481767243602830998703057403305827842516431817315770655196635404609384121761921719183901879674368227950816602925693060238593587270252388474684866407709903839341604795959876958797001079365381288237797490419919355070286844690278974825168515359640501506850214007028204702801500264566010412922177929826084020391532251679757675036960843479244497476853183291291935938683764279051874219921689286898269390747815023094165507813915685547161981159635016663467938573926764541805198107753551802039374603818003103041194369865508942612696382106138378728005728094725410639640773536483241095034401974666349930090980798401298248115137185438095298865145504356394236233461508556867960349152073278689514334075075287791062460031994467884797005458374726150871175733713143680766352444134408600899754201236471
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 30 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813708118 --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":1100000004813708118},"decimal":true,"detail":2}}'