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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 #1100000004878370845 2,157 digits created 2023-10-25

Value

476972105383573406075324138531980376727608974050211595246354930756982598976370240998577510163706068323981393291906385301430641643452766380143490551761214792337514034332935603638535374349511941051481676580710332191389108514820679835097786838271821134299758034006358206474982148004050933081923339404631519093846621536469742879654580033477270422099983288204001830095520553384316423011261467072560652748339685288922453777625083142828854814958071676467358605846045556477178849421435602343319703092304690128873752105257133560628232416831343817325393647957673603192375566432149397293513956811344688699054451214321446000443472063261423726277244607549376872066565064732882321409940969192002959859319539232315706233647071426443733281589759051630750158087417313421098541520434346520338117010632500666502305698388658321724197043919439515108772100307319244268482637823486692138642115973435673096258989529775377024590753619938469777774054384188561051211177284840236631220431051194805897525998910593538473429051404210630812626870327802510778698186925175861159221140786453311633130329280142354700842514604195448854156278011809961658810253393913664765143479228178694969430654624385390371518701819367186620448583096932301134958254976793158575966932846955179165979562393833322781424686203080595708647786710822344325774276796886821066358076996957306003782582482626053527892141233979433456629576146334933684412326867421654896638701779319122632555485803205834128254365737419088234323037093872801727774861889027764482062825218178390374250358848194595295614555855072628562870164969070379819241822116380099282651807289548327106949399702632245876482248276914694085962703625962343546931294966055731890852486866262471751176292659859279269018259879529075064792832227646712998250191883427764108337537705455693226563602589803997062943952344078349782280427054365334962798854902421749388891696913020763248238310548730151144056886093075217349377459557397724214482065392898220388740486692088957780423561697289903372482648021112925931975780889404718627504431028896414815489384099965790999666174410714175058049785770713294158835245924750136955240319255758541820370978167788309924902063587178913
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,424-digit prime (355 intermediate primes).

Certified number2,424-digit prime
Certificatedownload
Certificate chainshow step 36 of 355

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878370845 --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":1100000004878370845},"decimal":true,"detail":2}}'