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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 #1100000008715664329 3,840 digits created 2026-03-30

Value

103689434816296225704506269484206004431403981652980978353321103613015212771002950326880892747183391943157188765479968192403386841233716446168836985025207955205846352129917033724698496823109096003739311576915094889236055923169267306247336806782313199620039552769467010283902531335602838730732237766822029275122729945985962787993119901331546412617258260274516327616249482259892486421036390941432803411340831647663825098467076038581321920238676398929485860696643432233861501234195549552465050512239509140236707181738048784654427344661863581443142612476941117816983313607916731506962269972647164266040863233103325413338690256508462342229648513789064550176637188119635230362598973822070459719016098224232038430454908285564394177708165998215771061065460668004961675518571714821061553276889792638452843025257062548769862771334600827796769285422911788153692777281505753133136112721179874094627247000454057638596846658170874442655794698246094573589184793103765763505227855154129446662320082042866060125363187469842210982492782787082736880890840531691509088043580823061102302369162543884186753687151979955678391858507194773251197529881724152127966022305046605875348993043368532191511179928886318800583333468185304602326960277638129381597354477482750283489605265103438940735213217362745096706479003246629405293307535697540234055401503953577433264307627931852154325297792276274844837983554243258222042166673202623682175116800797422311390984287186665798097861067048280973793242394314163156985900185814499631157011119184439184332271406797760445425876342499691299881252529473687309010225210364989817254738495807390392435665505043172861120005545603509280334870469781262690083762407409410629029599689876447680058076450652123357772887142534753337932729157754334036212511755012604091060630056153131524939552935265126070535455798974235873924156481044905872403845130177526152555181928619288535287920364280381529134535435784382123294679448755391570412704628273742394889885513533118779590039219908578588911183031224597667005077768802336545621704363365683716732159167323971066312640480813610548213344934992428818076914738115091602661820557240917944763816733199914935047344948326829996178716537638823408372907731810721719329128812034276573902331923417096161085672266343494412125978192974396267299908633284739629021863322531138524974891452833293108581472259604215370715413919125412949446860057522980844746974303381035374751610597655663140755228030392559695521369663597392964886342790531538331983615250595907925607093890901982693726456398783598726802450040712896848340503882135307644502189686091025530650663783968465978031217314009258342838705727729362333071442865787622995086983616147152593097344449989257229004733566454856127840654975268212971023418964196409610459480793516798577887286903313331338521400892900474682303592267727910442675451300087994043982748246902661899107892482241276946483671572534014997056910507769898122789298439614799771279798549346297567979134972986396532613406258528140250148378723384324533784907382558207865069992489837159997873870621214394703905808280001161686356565920013053872211308571431405822654309582684509162397491545458650075032218836065377208954968966265228072225784629227127364846164073658204948253954945786503723410273470731158744015386272125355033842954724357430837882125113430396520850447176037787986267229210142646553315970855662402402439749733561396466388500640737446561910746205878822096210370014576406573863068277960092458449933693511565617464228407960552960527744522148480693834203475215288790321763798916503435088175346817609595072210640196661106897679682508191583486314831275930895211105187605244205803217463483566141513119757981894530357215845604967431752899659350766079409489366662384852195341417482651077562680008479136888797940645195729215614348580177067457298091088000492779572660517375196542705080780050856990441703
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 3,858-digit prime (245 intermediate primes).

Certified number3,858-digit prime
Certificatedownload
Certificate chainshow step 3 of 245

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008715664329 --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":1100000008715664329},"decimal":true,"detail":2}}'