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 #1100000004814010897 5,673 digits created 2023-10-24

Value

776488454679302358424033065471484543681581230489771937091692049447711342928038077669098317275740539565070839152105385538058735803880099117491164407272348320322232570500686839086900908591550700094950083438100745780220034488720087274104403157021328757147577284234042522815428795026341863419747352693131510921386928811617333764203636457011426676360022348915371091212444732272646153974981881116431160600770399409562318358775484110065855884103424130395084997125649846926966924466669662658941438826417673453474084093559826511214768602472637511245442606392139822097093449839305174460514508325360741412896229524952687879323133534694979704525633076747692848712142917173759691501332018585075877685852997118429617974331885022686032695930419557920855698282641400510235034366787791964648789147176031135167300708161426838939407712647020988703603668039040285904000680374043560119076437972984302554567263728499160348167172447162932500628300300437542047775864477823029950109082716319263793354291784527835787700369363362775872089813669641893398066819282372158621948137425481033674444856635023835208337167125951850563181413838275142012335674031034434314724061455929266026053322694865947592386165983003048765445643118268369261436568591198751968882897629267757249470580277266868084812799706427579011063482537392616514593334010478849268318096261411627741010161728533897684843954741945275695008668093119684675558620028054504399476482402307961888729211481517757346390287807441901522248074918907086323343067736253999490074163767459364679728518496981272524082430375071677379016164463788278776539734218672112935765957485591094789342232868119054423529359577727393113262564630755550697707436481952951613919849354391384335052732542294533040943437566894432365427929174752775051965890126039189755770604400139502453302180024883268073661749944043213754248910498940157002173413644956761844430655765412665196214561614134762139912272674651498766689113292766106466112031314143875863950327035731122502215163862644301614084934066236372322240813816385226532560039515359022370743669261467633295917136942926172174754189880436504710568041246206287435272123780200618853389194028585729448031303913217906526724484588445611057050008902569365396886133195679841838856422159523351482101155593613845811279919487795494528833038504141486450050904766645580205132841187818114152425724987010540114719976801224211311721763890811480443075197202874890655353070359401832421102171987088083783831821604352819068198103253704059735726797031643227805929025672369827164923857264061329572418224593513181858726294242235085142994284762302218450517098117201081129924127470723861446568818375126903773805997911580384107390921063158266561622502367211265880734232417447351764604097411184393946654310863483309479580991031112125758111934332258890888924759541014880457094327252028462306521805321414621619310256617330365680329983332172500608383777661775323967057446395102041985671092602536114933069893343135092418317870474108078084934100606469568943665731969133930808042229506583163860290931398040692335126557618886930950805363826525938748983873181603069294794596218671001550257627012804106047469834950860106825869129619206927112937985709954425359928796389218040619281235196921541336836761937364790898231164004435782500276699420723324735174945230304161916511382319912463982711140274176470524632147421252322306577129043835136428776332564892074933128587667951557777294095039505191946991920981200443784087691417348724508262838534001108883998147902225228839440150466983599064454981798795042594261698824498245421372664000786882719404881268825721476607255732370420974975379545855564879786715569306078957738098646160610833700268777571801538499112778029072433785417115128968574259247906640057790759567730578864029954687237567394362313373329732658027561197889702266361515052128482301019860765775283302722171396444569881606206483904963922040110550404465129456802826041254473501743113357117836459449628955934515386537271681296343407506162840557572836304445757409974792562596578151182110952683991132652576646022508729036849337975495202743421522212983437408641742690657441035861279564610126533198394420608066827664489578325656554471081983056365333894332983900052294809952636258660693483007197282000889865307034612527593440511341133173962005240546076627170784788095048878746864013675172255467350870218756051469310696348550854408519792708959236982179728246146815683596501922493410135091450182812951298461631042479432125858697369395591534467186468005943169787437873990806097869553203124187709635869951492244140903876352602259133014575197113356328413388266751875816477232955220226129112710700511880986827023996538185726017831358938278678137260642317978128713947417902981349967300813760544858427309641089600348442181727694395228138826831914137890454454819255731933765901685979443468087309200909908325880687028495426088210665178913634063495521238869529820492239458028342445772118443644655821053300819390166804801499910272591449546155132761829215079502787999298150126558384980218191540849765279375397503114759097992129092941510822803665936342884519429117717800481021369281959494180434179588186442142563234133403141331714825073031999288846813537723524159803197436183350795301842332347750062975322448693065713625385420544031068221928561924049947569603118380775910345473295877833623979804833164720275827828282567768353645713806982920703106309023862575111330974658959857689708468096131541346656621766229755285713255186963234159830054256249162443216037324234232447961360496222764602995890864945765051848129861106452210094875099963227694243150952214045331002597191138584872445263270171613794902244625614285099275109428822583996378794389264961181187833369335151622359152506828489
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 6,000-digit prime (540 intermediate primes).

Certified number6,000-digit prime
Certificatedownload
Certificate chainshow step 27 of 540

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814010897 --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":1100000004814010897},"decimal":true,"detail":2}}'