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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 #1100000004827240908 3,649 digits created 2023-10-24

Value

3597927832821048799508472309610532939592193998740855159498573592819014919877675659346154702236024320382919835202790438525958771184602688098072324046302640987524415206919520907812939578526385003827622899901282542485315203289730675875802180484313906647869340875280407766095909549916439591731466972353669342823137129511186469929575087677819411027635562039431375256666282105580470551133202856374784298739474473426399490892190564642874473302873865491473844827758903466920992612660061231223661038220181030713683933456743824400371997297948676618754750683151220791141895001782325806281153960646642050142820427511906777827885673704854819751938173265339466100595299266788230762627523764617615253574227431316320517345006472952054284641704398571242663872950676128877567187949695232343213087437075864700880894467591946100267809624979535620605775529930429059951624070406646331208943732336557727083273989018620139843682579138520684603891151657585861822052668188940204599395973334324175551135937644108770945224355247111670484195881161211972794580978176563785117477891370661696707263952648950168868665654318949393205876915860997730516151804047891127134228075406712133930300521896789162189294278800682562831208248203229112605266000620588416262448847696986518527971619565416657136183327277874327751912028565273950982963075428547778660389537517631017456924838893551855374922163575965743297796519866780065971561378440814681127472238021639360787726761110426536872374680775634979555216708938678017276168367268254007683208861401138503462217048379772803656002205071608338307955009860665796924865420485991116489961840182080002633307367916240469352751400627874452312637707238125467123401734819336553809541186478637369850989553025952200994596624067771055445829196842162203516263241912686255898166610456352102897295951863949155562688519778563006880707785614614761748297815418396068308415321197179914072601529036054764106381275575197263459519349005278991927326916044295566937646301192622059016477407166295601964446588063912387311338962655954157549552980302602574986142277115701432025193683836847099602119893867962127185775689764317603379831842477393860034354855057438596593081306788568701872971578322772937327347143633038461216353337767327021586168551629787844223680960554535535160235354868972832911644469578954941378145837182225126136086775178829455626952451074198430264022071378140729519476285831762808277026427827590823984021154177910027362804121055835989839216266556299435131342937003327380664722783796857656941753862741163563972241554634376617025121162629019676696016902926299878492273544823793832201125094796730118984874763468913627604331358557383184121677903606728786658316649328697036590460265432130121190462877942254632234470867318962227517192233418496641553982430581716444113323752255525994743318430950897010039616498942066223084292584496133575596047322168426249823865430221035299709743144884191905639293528206827898233903812720720485871237389789393049508255416062178076533281854569980155599687197506575703648810807072501108963988369722227379955112573139795427923815620135484409096040533858351247661271421604799150409456997218578464505422169090974948285594342915835816388748827997934296585504264535241224986031499283324089815742808402339536193986196838249756799488443439056310010636831183390400181119027201795311849917135538835753928320306694805852597367007711319078195479552465582418996985032150106042926329935186233332532601952323958724250446893739626707981720365984255133363752936381969109611390494207564656760927739902521869258521452690109366748459925942572412615110126725008270240261515763948460760226150317541032531879380335732724157129192342715958154110830613629
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 4,191-digit prime (449 intermediate primes).

Certified number4,191-digit prime
Certificatedownload
Certificate chainshow step 51 of 449

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004827240908 --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":1100000004827240908},"decimal":true,"detail":2}}'