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 #1100000004853868415 2,180 digits created 2023-10-24

Value

44684447884936736210304095332385808025256268058308149172642983755612479082019605365485039101861537794314669596164386146112643352619529656393776603345513232152158701063604054010336837333408927633697546586652273517108417512317786233895798200674245436438529502324498449509444649957304458905094454241470215079833856553959013209022096225183868026268637882809367189465585619177823865760216416744008475075168478205431619536530875360593159947316670069117342299696424750176326486381173439695635250489377894852063842503242103415943942091627628556280379380184404467091539981089751642068629353368384893900820911177886244869106979875032581301920625064636644765914343069866132120045925354747059962726280057817170065606528734538097271125353264688307064423015625213304366509088362882307076201317166868305789262467435926268260371783523514590611891873312685211054989137144087283206878337475884001604837002094254890202160408835665205371107768240864769182046696214862798715677619846259542465969353206727135545715897311221349717989237495901072982961867968938463549634426458307714171731700555531849096340021059326520893872047435108902824459725076804075392094054324416487383632380397634624895720037284143655148734109707212566861864884010922989644828709813774619894607149902339378202952085648855382160545115077217165456573186744121055560618927895532428232449399170820183736453662012362787145543999528384424681506582277846488483721755717772185252227859804090851920883014224246629773193217964341840513605410885343729298606801127173437697035743021315201274106200508282742622649470998742669578708210423199365402035543145495257922174100017503741964516915552909221981719699744803804218056666858562548287500582539868876203093093235334039787028689486973005663242149120320829553327023810569413209357774676853325295660125660165161452565423857601324364108659591292732831398008232301247391998156398699424776136098426701892533178814988867908692792333001109604746073565502975969387642871888441837782497469519539176255291122980024121799516398678053537912910693975660040105055359548697859984252681997474873098849290914057926990414758236507509881273100851007950476619946147568500839875800723732154686610909204220391986047
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 69 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 69 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853868415 --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":1100000004853868415},"decimal":true,"detail":2}}'