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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 #1100000004825920076 3,735 digits created 2023-10-24

Value

262736273871958022308520552076988158858920508020244344767645373187282130744194650944382124834707640149596497359687822625458579872039111347952110215372386542116322604175175838912985144236810324290200200161305214287394423711161832628074613720340450784719282289629049148282208861141545800559234312817383529414496898246451528559478783639197877197199091872944545464248445050715833557346923831991279777104844593900726797451178836604667448763637988651051420984020724003086471452375165162776072904652267210622470252271739909583011843086772318369888420525900375987334414639850767350707678101572833667285593783200108663968352349096737141920257265136522900339355496342729526145595431884039497395418923166887503620955447340937133095681994494889342145148100559540057140804532739715847305281323584918427746901001953706788973945871474838907785334823314031799822528618613534107028386969218146748226184208729924171680930331848551478098618014923564758877136840743519326392803684993365663712595576634908240403849629474708075060032318363325027946184945485456804700096130332105721781128978438176785462538850159505422196797789848846775620158571128408964985039637728179646309993638620778115446074279174078052535763031296684637210931130010588825806033622832220733636695243821100268537770251746625457456200763563341360578950708486692502256437663455691157058614520060408592722507084652650409233005728474523356836593034765459496748544736369052694149656264917488344006951090341967807562911365800118277041850776757109748322781516963059927474756794217508539073404387252438375812145697475201405482655029944653894287282425135582889484793380642235894774949688017499823281559019513370234289838643220076011828712262608670019283143344626765866089326115332732048814454887579096625623662074880085327269535287467543405588027549410130763389020027317385219000576608239171527470872818961860228003518239877217350535917308057066532138681032781379445888133388743937353236397089071321956013264774560151444298055009958960584821782497593563899002852468456942518010202819089716648526199111620388621574621247622925994270416817772956100173596367552891437834087740525680836325870982411950672983554224349825061625689071069091236757878881336849450501551075175667821212577283584270168125465996853656997315604006312515363986548775719691444611182247645331396662294100274663490186332324993295344027379136757240366180008636594000275384773644299781395283727221321438225819594631057033447310220642179729881294986608260912506526481193629063583822691910089361992232797731822570699314913000476243604184530943212425289918567283151712515646511682996862401199121970947112976454723638319389235696931191158854801612740861844623612188721862392574432574515770011916517922242674529438632769672358233101338121653086795379980013854042723586944943942037180075466242477592359761020388203924978184114915176272709976350085766867205728921703720553333751003260485658827521627378507426124694614345667810745915346854799989068223927447636674901304199346532280473636909777973023613035680037864809426242307715853768221349716768394602689236117613129955371879230257502894395600158485920524740099311149181763929056418831470521044602971836643008858410826593027596751357722953390400570128726982757330741730234337326017488548982106903244253137014006739752730331688677224913198527229491777948013523623263338331946472557210579497000817734207362555768459192475781828950707527766085410290525015607005244398889260540012535778964466066330532779974887449758410415608895728768880572897217077649088897419353578713342277552569395943667305314319826040079659346641132792547696103680604297041228987136657448125102996062970344386273991119780420467177703600786254231424123455934229901121244966563806489867184598446396535309375749554281181039
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 56 of the certificate chain of a 4,284-digit prime (458 intermediate primes).

Certified number4,284-digit prime
Certificatedownload
Certificate chainshow step 56 of 458

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825920076 --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":1100000004825920076},"decimal":true,"detail":2}}'