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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 #1100000005816067382 4,734 digits created 2024-01-27

Value

290106138990385278553410205962382919420409967130727232041172074016971594555772276685795830954345251901537610063846710699448267294410696238891176426339554371188314435683919605600711838285459337582007306963763799520146492535819577979943659961165823070457772785438602022659900665325665817213679735925567991977968389289461777580201985268037109151946722273519149988873051646511614946609109139909195652284914748119542776881973264970538106195005311729276027057657200950764540902870999881647346936172249665051415816226894136230067777118524782138114844265218806326894824100993474330046605502185967889059170880649656754992204463124156647352713755786339777027934314305279009095036913954642272527025319009579488557221577531766215413763006185622494812745736067304988719128061000640970100121507070847631165869173708816897920180386613114902589686002381001401197877280198453570723826985634792406590668464797973727619997749554563715635064992152330127149349856188453142410260436434542797444688116121305728386318601792598980028286200670085160766022909618921644297275254313415967922132375938527490936820759936571409750815828537424422864949305740198599106640933482547570101613218248469614512913860429677775197977440073092432523565453267487524235485260011026882383973603500431193988819245467083925586009745290668332049301454134684243521278863393061933123272585435572916682110634329152570686537122223913275490325613047479776337041519447704179257702848324699448685395662504326962666148631055215954448034545077032132070281000592394698080600419831353671710218478750362845517790237791835130249041062408159152416912527635026986262655092342171596144858661786608452104538733167502622856709657875250876904365657768163843326296624846116090934012750334195410474775798083960887580193618501719361453834744308198901390953934569242599962247744042394823053609373046539919997571453405490164613833138010052211946991076274195284784529319761383031085606338041702214520932117417694875552374914060669079186569755827105941115717910185879456938841797738595917822180616344431207058289706432287552196096805167109673751007122557871016269940447095913446717744941581719922989377951784051305667041280740555570655255532207742553217814701148089326156508076930844808610798100376074693504528037340870072793864312392159240408453323497413421266538093529047088974005114033039212265789727299365817257042325793115487514502411273837044073274778427421722543950588257194188553743345807986112195502437502806944848238116273138181762474864673169977519107589414966654622418319010312602545252335161090941964995684686253037399198163463036393760267611497384975869306466739558015656825602716478229299770870963869439279781606809521008338297105822219925608212888332367638521376437249422734203147809794299192978727067745592679696513304711977634448822274531357743561617081466558666751343101747420177339695744815352729682319223010407708095652265164459282222654319095547855124020599919579662587287865520575326041006109847538267864303190020709037136714785188213221929626156064025571282618480415732569071366039356143725568291208353067756921662988330025884160064359206400574425264943485957020940968458914665738547314212433636282539378255326781208419609246755701119113254050336376401289245808032599586227232867554523481181398424261045769561424420214440467226223657488474150371105719206522706500585397201002447989625275984813571797714625495591655388224791137520482145275076288882522088282591247493416050366095857171552851732654602059584732901756900710958818573077886903826608958820977340843293221059195703918507060008370278331105129950589825691370187423294089635135674064549641197128990939346430972166934976000029466855823477393429247174170147508256340509722930092147052525735298273472992404513577691498460904739115742280733933844919592591453722101139880254590091748832775033776928609619332041675936171051772553176098390424484510601175610920470259335306916880643157660260441970031748402710790086430906649554526677988831431048230601787562234734790742665057436792428564139348712111729852787276348241601938601987090697622482564490424735395192914545549665083003961329122926994052320296230249287019409234800092987162133352272841764848066328080165965121207099934787570303888771388046567477464786621795699189573623229591974485664890887926969940256059190796364442793788474751520569993259477005448900030418205138037124345072165378477577954836881662792589121541227981867976707842505953353984670888094609190814470785270500787232843517313630134709603632436332992265009488178886753389251809472276177386116014706773043670708761381777750528775034107498423613779309149651476632489279910828725294717726692938717183378328370213091032246748674071425759217896355235441605961430136151255301136654943199610282597457405048233486913012342299
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 4,860-digit prime (294 intermediate primes).

Certified number4,860-digit prime
Certificatedownload
Certificate chainshow step 11 of 294

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005816067382 --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":1100000005816067382},"decimal":true,"detail":2}}'