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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 #1100000004813644636 5,244 digits created 2023-10-24

Value

840975363769647858323627872300530727219429084202275003860673870626957228022720534852635520409537706687779618175652449819830404503851896264869810243381983929558543089351954027565033820837738535992498141937669790953736014179357942978840867852967249313197562068122251040691247297259016270273412453387595652028282933817439192642308820269715942829789268718424538029160750005030668684531044968543886017729496952886671880810095417911143450054387120991195737041137056348345775344371022038728031363874674631621415327357341595052791514420362109604378770739071028113754338357048344554900920591741376381849352452031442862764257829435286328136709368528704305664228256026323610416901992337099060448538629484363705951895991939903425981436239862987670114946506161929909391570297498963499553052973307439999406536912731913268092428634068958188244190149380748808928718438868472090479174456770356452271427075974234669489490304888243315523497938868237422369218602657956712274839692911573694544328244312901137701378029614657375765264393266444129179874203484559425450693035671423138055226436559423284363402430773472803525811078653427501851338843832247735275559046004334467017238275530480124271734394687373771841554135035311923272141184077062076234552105359457732024519681307141947326219691273089610988255805111640172610395076135685549352558561415766784387408450956136870973909727930829427287147019805874889802603237938678161957865261886363775013514489894023517477801548244995217592413288864529049341700522270173177438218503070968718763759918498047908241482672619289897039574151086199957210938419094729528438215043942824549414125818330405256922544907809953217261686238016162347131784476358246523569723230593403542009883869639243411972623995304107060083534334724019202171545841100881259706580008772960858787456685599133939502575577997878257608802540865323859129126336749478510990402367458682824699126008858648550569618441917130646004872566536312986126459047075643776888669536012144536005834276264315918654774181339660920232138280564788494036989909195200152762475979149951033072659753018144521235811685302699585115419597168658673975613476900691780749611626453853200938549060024978416367871014500212844651727192315696062283308074845878211156973095708289361481913086877587518352579226229951989731181555039100968791615381590549725510423466228756629029101757281499796295777616417148042497558638292426987381234569422968131640493137206271815314767498846072957711523371142033032016606894207272129751299644713502807112866398031391948198720696359541204966560693544355583876861211052152246713392357930591992935745267283587420841658030397493223965017714010255452893412948827203765995759199453221578788643799428612830921961598145818567628948091555552346007153982208854488071966386189520119123092260323711248801206555832434671579948331118312548316996265645599250373423018976869929780948504171993047858051733542064621379076218406924921264605335944287643173473710956857991961135040957259966995965384073052110505107932441670105591444630682247218571843353146429038438802333912929415144827439227357306894543603448755414375777256217996588801659306284126724541488115418905038834789992930816225284399843697222467312414102705205012224111333392588430436939020256715970238552805200307639069186041345320179001323387992700302172406326160132583640539434691787735023067670202133787459272407056827515254701021542438407381994730665405703516073929834159954472770161655557724304900565142835398916033601541546721187309136220694984029129660317621360514329444124401698638518061172886969646971545163205577146800697692488233182403804073418838927456939291311067290358111024015083251953331318485366372720446393773779042347621039222374454936644596997750992698018770662649779401629297222315221264245099315322745731692567900773716941400244191507310406732223660011478155309019977165821616575871562619296756285065426083916393091622167569938257176180789242170838981365735544364342270946265350025636397292920963468983325305244466543502383739234707606155313500796348432654378916888052727231149469784385627251272694012385617945903613529177100442978119516003574933104506460953750665020804792299718998970996849560335916803417532375121817230669325660181864249867946879689967677819122678875857612666878915233187671140538180500555650037791595468616681363654267479887790421501522887608689876967295293284198913706696176033180191852269589525537066124877180037786760766915213771962628527057880492338265194326966653900923164758796416783468106856676406245514670638886501309953317271418035612071895267717187845324296161059688631157103959784845302721180169672211946524657798211240557512490994282915651775871043026312602373302172071530103260464431655777961637304541396341092869854691032516771361829043890873179484448017053280312708075440738670485721713684344332634883711309064919461180039335086174726336446847404914890493592348802134970553439654113268838524229403489736963019966478496940272597449880197370227921497478701779847160172885482835136014697336153607322177091987845890098165605156128814265004478130811422373963706427676370052633774584413938777545547019583273768921601487802666780569664178742378544345830604703041359542208696006586697867061100700135693811710579626981162624114361870621152946110939944127605506971600534125303
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 6,206-digit prime (621 intermediate primes).

Certified number6,206-digit prime
Certificatedownload
Certificate chainshow step 93 of 621

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813644636 --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":1100000004813644636},"decimal":true,"detail":2}}'