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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 #1100000004833278513 3,767 digits created 2023-10-24

Value

13115785723208446684620937124917595583907409690325427946176413160608646474768152967082728367305707710319898646134778365993524738048907659653094891655043611746442485736322756957076463062085712994672511018327499928930345765571958695402415793052039295176681791376985814833884795170091616809172047348630612825273742818671880650365756395734493097613731177939676409334656130612768238900612854438254476085671637833334825127139596429911468951857959534093348673749636733664000086009072405421619605420791510879501052251928928389983184307400487202836475735347434195285614444336064267474166112372476332047967318798960806460700166874430080697668636818900617620405325008482349490661486513857924295963447506894323844666612498518033639416957482102920354144745511141196901190696801586328589745068728168178121806282291096757510660968251485559320601144116397293947511716387926962896169059753295917902321033514880762608185347035616625000891152957075003766546988129799693669730684467220499213647212192951718322599076274986339952927808656494539691896408740800972914535030546508926078654310878766091761168717573999723504909579401423428994749162800248679437306390895856960734613427856123180386068284179531368912645831188862267251453831171104947853290372726782450891148535682214638029312115439764368642858810341322274758054238088368659927993283661422705053419305970374471758691129428460037578671806169345018932039548735375949426360037003856178943973778562084217532822217611333649023402762858192346466236185403240624608235580864090974281306332260583637654690812882595974315028915811447952947981060467711016682776553417369746497003461000373290709420454667708923120540865828144124296619216749258469703160657849736547629170187729479280472611315722376492377218719039523944310833118155349985451829882167994197575241500059900608782402126853988264091353625725193950993848697492880314858244694865917033251325864736527496990601406602854703549778289899048182111839303861341324834064076743818488875718617094649018914522522283630204888931672694048100206375653799424410183419409135945213186384515105583373461123130061848118317837866041844769407454589952527777004903770102934346729846770003383330971965325214574911035109045500493633227877498426307933296224530093049747817371643332708574304584149511377826588145120148739591208610425055409245302718977069886959969090872478766912409367620939513048933144871304437730138543433802791847833936428698075828997000766230046538410914120735820784124804946792927452841348794172121662148457969150899846579581883057612574954188357165981093581660651293411691984720150552948332553479865729987379065709120535684368378697537869269857362559610793743241998079349351059727516798370719502042348849869796384250516425196532165138385206474184867038328575382019142745361956529346759994348823788722309068004035362383629001221446093678217391490943121749740728634897905469927317768094267305850749046672612621744444541748364136145063781381561481670365516540153394149979861319778320649382867733923316252571690259304970802348377320241954916573311065846929308081737357649032345547311736453071907007414583238259061235344879885797144774158866634696132067848964251764364746798058242654642869001720112514262290290190161412979335578001242163661335370351321586475358247787950508824237260184249434063749581599167775769967149713576169162900199340881623642493994183526559096649719377743121746663276342987834609642556469740894314643953528476533484233842942623948603158798905911614080809144745893520078514153339320342507721917889200635984286627300771273649172760775148538554873228186273920744389072186492231217855537477482223437403015343805260208881659273784544455117340506139354392378353464130158378517126488295063682036112972828177301692834572360441122157288089894561445943088017641911443061217870139
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 3,825-digit prime (402 intermediate primes).

Certified number3,825-digit prime
Certificatedownload
Certificate chainshow step 6 of 402

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004833278513 --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":1100000004833278513},"decimal":true,"detail":2}}'