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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 #1100000004870450784 2,200 digits created 2023-10-25

Value

2137220996816374222688781406962481031971338567280268471985822353488216029832508358645807828294503301093624261500844413632234806276078179870653687213435047280076534751001705170086249793489154297719181049898268622019459358346289075604683354114134236465231426616520096358484105024548774235668742665880549090442040535994755486433254190941478230209765247995538384997095839138263999339636016785824067329727220501103295315878140526829343042959225668206190250119324851330199980054617711528543588208144850784119642742654483224208725871430825735655758521788976710067096741340780743252623427423359972230643805032918197881158508100800892821239826377850618364419011337570210503316845287652496159336065080176653714941096695834048130180403258789078000516884377843870553270362785293033848671940609885448808683329900979265477205890591983094430165069864984670463821552520988039272528661467003882489230535972879108218436791140515858803525376984250345202142340470440483763029512599022431092083695222564001508344975968016347610301508175112074482838459731248925149799543829626043966243373301880645840266034161684652011838713648691547479710450770662211269274752643969367917720496857647129729557472727171438124923139807239168491500764126647770174620142459448170012938607436815618086955378525559045457633208529763894239388272219533798707852097532609512649293853873087957923312468522323237513012118941264032996973790394351643912611886288827295444774539921000348453001483064640389865486271868647975988215329950145240258793203953299322708985222018174581515194854412127237712286073142336999163123928296429209531976202645410601165930030176210470001389755163172522445160606460449376027104519282375075776735848985861647326488209998404100549560060257567932391186168403716658542271761679474540387980789485722441556012249897830838156178326327846950937335568138812626596262875807741356453496336329734901194490761602161931601213142033414457984945423353478583526254725846974077081197462282202346920321084826380851146925153361868110740828114594227638876939747346283752767476058856648462443850449403275348944408947826492284773758239318937202472737829998144456120740434889332869527388437517264799700018995246491578981029582679416933482979273
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,632-digit prime (288 intermediate primes).

Certified number2,632-digit prime
Certificatedownload
Certificate chainshow step 47 of 288

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870450784 --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":1100000004870450784},"decimal":true,"detail":2}}'