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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 #1100000004821661471 3,973 digits created 2023-10-24

Value

1183795599020649434120591670923176029927734327697393833046122016989087485243092448023542927389317610855918197376623360637216298127025357054513323515489760328372416897285531534651215879295562796221429285248959914125060411298263091367804618586105212530586780022373066975568702368965734408948511369931084376997223859424199645851037415972238234238134479497944442513824663612886302656608116007923713205383954769631612866712608110983982487579825306803127813344143342250113626672839272065895002048601085578409457267534991207107639936613347932117789620789265187806908486443258903494988229221033831875710569806510235357922199554380749193941733640374083873584048247396551552614909191619514306810524231124332007262134634526864417419220320331264763650360474806515428826899757348754569992717749258836033034433983513567810024107259254500834387538507678764138309371436441056542884880531868296825853548137342200424815165650533350363159378968046747532116108790918802057659069231831401645016174963354039501909756296913077803792081361022535877339273108543988645184516103168599271368028003779718691297844854370404971457172265390276810378202373726421374815896343386224037940868303608387829870323294049929776250335544192919000713856153425486367363986865396538459308455209033850881321827650799537255807637082915708371416398329970536271919268524639059348464478433436542871949369323441698903902418453358522907782257788430938047216464571426750851599971807523759874783903566738055494833829134772757390917865656867757818820485330251132764171981852359100330411950421473237426545954678188779458196126882768971412461481580243730424520731756302945541525305977658867824781094268357205581141822843169773108335584294909286211753446507297437032504917808429039302282744966424828274326697758050769337902438126118656991242044159786076590372942961617030559831450022911307558555515368219999266765704464255526545845524095043346878091230344470462071009974531447406144761129307921267625972457170286393650037603807725113541942359552964887988275735385186399795405787416950262532461327881786652362802725612791648490823154594223127502414587742757784386586833347451768742365299494528431258511735387922329247840051422314406079741166301867694848061639078386239195401791753954683705511743160183657786022986925042720268862143426106711896497120388340810588909065003176593575507517713174617671727178075044942559261018172537071617937137079521588674343352626431266600175774775778948917431199813468061418173054878411109270533562754435186185016978979488660616246621213698623087083403375265585035258177905840372319334499769372641378492145014014455227412975665456120397137432526008169160125021683864845705863314340639669665513206474982027513473854364559202843845100306473549469149958490204841158733284550521561444818948056158894947303261899817214948215722831369736618278478269482918684455744724573988224825269886039444362846202608716038885480115694296365414591902179444778083053622096012015365651125992459728926653973009478310442760050554205659899354754756078917295612191992263532454765233076640653409720825561718751534810175935203453231799436776823504589847878647746502406395303826994779213808158892481008470708686754383639392937671222997195801570812799004009208618963104822049057292998912070690464214938011578525825653277487199708072775897206769969970062759018040971612266570781011858212001946399121727451926952545469475133836005591271540962804822946626759448761485107617457785629462715591351714445542626562617639849915618537862719153785642087376927193459594346240143035009007993455708043645592534074816341207890462956400228344242490021321850074827156218412567590179314627543282792033602458318618466912971232546547050892426349760111462064915005949474945450609089266617475956198985544704962210799333937732043163118675162997169065060004912961623571569183954666854880649832269563001238545814788196525865055816751423644630559331771185575368855419098445348229772568981286940486787685201453240759177465992839978617621936050634909523864133
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 4,744-digit prime (510 intermediate primes).

Certified number4,744-digit prime
Certificatedownload
Certificate chainshow step 75 of 510

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004821661471 --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":1100000004821661471},"decimal":true,"detail":2}}'