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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 #1100000004828082653 3,227 digits created 2023-10-24

Value

47394502706311081460818314260476553514624908423560943857423351532476577481575045965300165957700439175023876918954845360069212695076705358372424288294738319900757139897731493703455686864993765662807162040429829056994572087928558975888123246622261232018931051501191289617912858886523560627595941932123050099067248518692842223593456313231693892361315657511667659427016261691957061973562732608429884990250097734145500652175190298636676554558066685651706753898954901679936496548858658078919167942099565740553503407621634643885567166244597291755007364307889022957663016674649050875035952325401380492813071728007826458977181083481600415866808170773410832518100646502319308615015377271530892454097244439172708487296196240605857092790074084286479547638651951473337584663388530385386954271716621663649527813547838954863941688133770393288452458645144416654955103584532904100625962999430253987272250977041227371348152083079093311646116372200929822903397855590595276157230595113351931029517969036819016665746081457781218040899558770332891722896347604122902526228212304606265500563333268452887537584306999155717236106068288207972008416388750182770693753948468198529912027735940352758702686247196016068385564218797188729066088802008605145124147597628389945466487069611194050370811714165449019068311496670968734168151527510349777872833773472171993390490122612918643579857677419041045842125652336526155953382058879422109742570097919992485563597904069615568452037541795730593181105581579904889910302897463456821972484359405702836172262650153917825652074265648236131020410555919933545635974775976963448358442945105344535163936547870860797813733566558899600482946964702767975176711425004052721761486981208997755295874037444456605765296057808836921517676727725846775250831716990646814443874735482004911898406221233484849205720541929485620986310723860920555475484478485828031269796513956786926731161633407137190160612903742572663038980889721675109431273203137226062770644928405965375229710169018222517744623482544853535637713621501414314902552041115393192945791525594152019604231569918622466824190588157419983128903920726974951477931896266136047977022395018033031301773774316122196699622948202943827473815755807055725843048143001163039293075604244504487407266572478014852081736465704172429975156554041721489171358236655161121733964921957352623530002537812978056711195083474415997442966285492473066008428465183075796244411402981731084154426795804765030823838530227831993612694104775058168490089897876036446267653628382262005239711785933970741176536090264335214979528849101544390127256301231359355680217468258014161587526735526126227099141722739716804511827806531631050778247883235054156147083376663921579731518176444981122151556971110250989095058589311647605264956418087989125273973491442931771653166064546738039020513457566272063683094150591681488095548958594260273139594779746101162312528614180738066489614022835644443582576319817893582222374511042458607809559764941487861459588863115649210417685532349290229789129403133850971654986060215581954741411448609293453219655830342768916617027149845189105448587692852940276563851059655931699963367823340281670386547519171584173362106516648958936906840253449009710241545904662203128752113431744545630356967
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 93 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 93 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828082653 --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":1100000004828082653},"decimal":true,"detail":2}}'