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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 #1100000004825890945 2,957 digits created 2023-10-24

Value

44978206326694851978414729080738316978295108563475164605561903352107378958371605298395619627904231444381554939484432664530426431034773520775362026887226920573850504919615861209870092122453211154207324420167164096782375778197567825386374327388190473688006154841150214824614760662391894162443211923418968692194475160878338555631678762293315494423269027972011598824137972648950334451846874348135285225078876188218832036510227928817999902779432764613066745671599947676450690375446830882877338411452049161821965747385310992634106219477531592408826710167155709240561437729741704734014226904231318641265268532582368573952520272256987988987850189565817096739829627516285274363162947544360617538582003154029192467439702790757872784036404403143180044865628553071474855335612591221029316919935750073851352447221265117680653781966453604204454779623294850772825720628929577645577928112385981337526420946255288138590686874894984764807091096761894215311695221706702805383111197496225797194418036445746850486505050451864081846880287440044517575345407483313906448210869008463278518028494057803414197875989461160316455100830569885324439465727402182660619176688183224584764760026722062542883056620109822043402040787071986113951026614782361544329216935356510837426053858529454339867434457051121293481939183015245822776048084750415475721103235366434378079539750622411808875540531636406247232598336990948926658551179044074817155075547405384652572831871259784600440729996580676274700568218515213012994211515507809215617827189640830145868994096237088638094232741025155667672227353849887693134108767648967328321857609618613647440433300765390643779786564650864396709226806325331807226604560789651841258694949887571420763501641734742404436975141219228684546331311271329591339389347590630494942107154251364802182092167146253886428295928435156364368744735778809807775218081773293829653692647455586884724501244516658003403528391605379884475827149021736770440484710930901924930971319038049055622989774845590977561110475254805559088497140369640637695957102737567954512005761627269370655516558317739712368631602517381410641843638198733241410841815002369403208108847984651653452303036671187352515894273463793072383946695003907062057440475666228161526481987940352665954844184414160567258379119287888253624694332204338929370080112125382397974792816784421026602693789142640071351532794668447287067517882825691775874079702351799514497346655895227289052123502027183573489387172492486833968822961177668635350848094296470247974961259325768326953715212055411310035685353648297081156274268183674335789515639292761449373104746126172279903130349897021099577195443787727712779702185771003401850595814466962627309655019184122910984038784939610505795461391405065398962485267363672322502761339699339690029491323159876222653032670079305215145279880832876122185083460596935208246765811863504292854475005769061786362825130495459186819720597466049553070399664577912008033763474624511811669837316427603371180693
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 124 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 124 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825890945 --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":1100000004825890945},"decimal":true,"detail":2}}'