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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 #1100000004817432779 4,927 digits created 2023-10-24

Value

4525955413962062990378233593903711961702227020606601116714281917294858764187244102857138444778889564640473681795296695231493371586635380076656518905260672452003118063257322839484813857670442925449761912922842108261424965289908095433625292731390163617106803222965474933261219504324256924025434090830543258748789191335724617064302025983257742016290333198307675413742182338323212252386948973821243557345445818607244940126404077493990568330010489281072365319302405473247772100243477667918094817269558665798632512570562534606597351067494847319305569843604768299865488009818746293274644192228519930242851465319603801344496732524016345472021219035070607880285377302942705342152054221935297660723274498290399231381108363864117962258236896571724875153029919749519049223743512859231299668101886120973773617447186942211882121684336601753037372420591301380016921309697671151347077414622200970720949076395309928117566731362228811006790270887711844626107753245884271262935957251655749677282416064677611188336770949614887969418514276992190878142071227232416479031915767587555345609907379799165121719410507707546201667722504247658395995416762821084977977873921871652558386665942375463013552026248506380670262697543055697468482471769099599516178914561538431999566439320514379484916188042317685237716643128292522425904110430363200540729574460664566189218789507403295350843046081622649929823922896698108733578706104426709678252869060190971911738710369598331344232902220994409776020433898310921160751453046055012122225827750936745478892268724907863565887568773282013417293331086435561887999740028461981019475703437982154037740432302194525884409237180358377924841796211506395557403835302363927554760176658530208639103712011330119355957202511723531946606879202662873723596765153049496026741487791732964059578499541498773033428377305001802986551616862877729577798037119260313288872667844991188082470920453582614448798617794866817074021071743181513400756147870005545410639582501525089941637930813332728554528677243403480941048176477984020671481269634199628974350007418929994217976955894095366451236779388198651178803744464432211283011678828444137630304097622246944777118260784603767944022992063271718552123657890205130215881792478408818176280912100950889736603000420245098030053496585175148464569272579618873118552321718345403680044716226590548851720976048100596427073076311380211091554926226764903247072443222715252803129252056855102238746630476218751515955934352722160304634776365888916448693118274417186356645443400779689936571090626519245546996910986138837803336581111377990972227681792415301366639579298574197042020857072412284969461235556187690640857891123107509450231855936905864477168885378055782350554765619842278589995882126231284535785455102871937137345640915082179073828159833802497576727504231528842004545301077882401833824792316608586909759588320227970752264862877461015774390715612572815356939791211384464801832122240027134144447632652445719475229089059656179786182428153592035101601517127494158244871137410686210243643191578152470879511837265468864340286591984910858495585898382530169516396723293359202931194753723127682993500151350866020743252951542901730382608719590584157396114091754219103997125764508048409434355403607458949959411071436324730056501572262562463251383738688519752734356686472279284763027131060808568566576803427604980003142828925977783174796214957511515262685139826847768026876646038455428556385391387193677814622170163514034765600206727847225366927669365425806723585448796739309583351182758975834496795216356654037889374155488329157789609806436196254359376927553458574464377582330141479803457811556548555560167032708154509772145766725524279450636963088586202735180771035786315088834128809828010525820201450871388793856588870403370639987571961549134799455931944213757615691481266855536626907872281358739397110390688667577189375485343898795240418072557135514125695719852968046237725220650452743504199798968309495763445092376671787545163849156086578783432763026925718725219790191573119520650250440209864975124925544756128186986758918467355334467801639534476982036949348348555494715883005940112191169443315946112041987047344610132207077557037520422170492926195407342568454008151418136038222499395763698362358672796735977341823493887410426568740479121316874382553496732027244509837606876862460175673488037242509467497697549644963529622780450634396650277606469964252387696117448232188221809668340429657668545960537580491795321634361328109850010908657722576600543461970959490989955393647676030100548932190340754440734825181676707931712429947945064343187874461026328720549434199975613783155709424766800575639005505291340280854989658288914560773541210458868557933868161862683594392243267346058785848228992952358355971312664546474258327247813636936257618514397560454033307020994835235779745235004355305701237511596671203854191194361319573753652587493348921514411049340077164184998323142294850563022966262936961161298014954529
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 5,211-digit prime (526 intermediate primes).

Certified number5,211-digit prime
Certificatedownload
Certificate chainshow step 27 of 526

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817432779 --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":1100000004817432779},"decimal":true,"detail":2}}'