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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 #1100000004852664134 2,668 digits created 2023-10-24

Value

4138710325979670506331805360070748383851939154644733992972912778996502990221369932278821761541345228956346837683551854804204798648532819773577589694746981035509765050355197018948227485990157397630132974100890523132023395500858468455024880967461807613560962303954941217623872619132994297739097962272576359380566545593442879312829864426916192335605771249120832431947050422015653177930332099916295471168828855590305741207150184808988931307789193508394346477774096791993058839956746818037424300096829514804185928468703562104565035817022212238206809402450664071765142539729459107908249107436806948729188143642858298040945343443158486577613105427206829039713576707026709827307064107928456029316909039129679677097508510223804893830087237583688904690709948484400251740331903139082554015664436137938794055208354979176141125857858455866191955399744022147743267897975338783607092531758266620739026442138555127952046084135866741818408157963509966450814568900128646946714879001045850891027150263031959348485273995078566590161720593268555713079068363638518386971484853569550036252487142719134673713965691412234214577414310664618627225467406911015072959065747087898945190920724657777629539306560713021158798237719320636072683452111159375457215491313352077387117867107606777984927696930914008093074582125069852181357472974061851655379838448340712396888662358849120322920066909785851791421471313438829209159358222349917987443075278313913853233462315073179341034010116608445973143106309038330824761581881693743704882033971310277766162552516549203518196272567878962783115621360487193039006800419419604335963520880162234481504593887688757273907394981889501286746258196948830149749537859086228126928252612370863602139024715820945908172854708986640265695184339004818053242473815116570765708370665462314142985002453831099958323422583761561007943168019185557982576311012302195742214933807310003624458845526258079019495247716583856882462878089709084729170719485414806971533242817367793883376384755551264672312971791445151892318232621515757824193302617319912152166744078857696124177773937082408150710792562249519746521452239538339297747451542276251722488111937244412321192448173069797141765918253053687309221375847230402760010463118847040792887426966152270346984135239799043156509325798735363833604122905705072063030056204510064840820045418047211867992833781276299571536182441321410158200616368015291265203930079328422668230006584347930873624684637428591288960800380208119482830386104968113795041766384487891510256164465080828497352212835214998785127227878584763481349157526742211427721772867137138900671228408412550304369329895831413766373099656418525934893363195496270653644955997643692212721
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 48 of the certificate chain of a 3,144-digit prime (334 intermediate primes).

Certified number3,144-digit prime
Certificatedownload
Certificate chainshow step 48 of 334

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004852664134 --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":1100000004852664134},"decimal":true,"detail":2}}'