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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 #1100000004870710928 2,116 digits created 2023-10-25

Value

4561477990684679330773900485861633998296401883535789939307720787574705639630243423789138350425065763613635488264389038859924135173835412612083969571223702834800727891459337532136957678936963307220717830345107864276950814542105364349541441508951202415215605071593333908593740424722180437831104412058663698914179101338805276292711696984130063624893498544195709029707076796547856508759516401831315582098090077171295104479471924989148079325057051251153079747151321016828664777272159816352616338833582382716209075542197903887872287492681542882216224910305460145203414541540411193415502177170578109650686183083830089923908579530117972335858816838229121992404204719100894571875399351693948440157551550041663402375287920564316881435188342224958718833969425741786417610045127591490138998425187803302326701571408315827632320218371136747863186994117035629969425212627479845663802443753400542470481421109091891447013828752569132696224694023240760632909835401366133003486322297917574860374636904155627380053665637721726422066280227270844387456442636518898013953608006927745635585184633808611851306587034179502299363050106365077714682475177171821120415287896589444675893223157843086429931005123753157307644847714081666265647770476599542922808517825685573504940816533429496761142374769930005436896171999501318632313708056695755719836812906375413001629648943828385841436798675060939763192636145177308679545694822777332628276353461351051319195222686126715314904069048124067121660285572455012625183508472690907444550728938269891921127153350304929157073082736694389426313876619317961456766066454275199828377264260243777644841695916495319962969020255696865586989839458260615521288476263411262906917796678015721306014627022076269531265901125281810534888962919794915095207559230191482863529091661227249869634888039945101005880239777401495591920944648114294164982433686820808867198077997200879832657578956441458898597649358927743237119353804899737878616983495750066599721263350359123999076893876733531880109780418108537589241246353369302046633709644649087799485646665956740561859288651405761055745816469755827822004949663395299047100656289
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 2,638-digit prime (309 intermediate primes).

Certified number2,638-digit prime
Certificatedownload
Certificate chainshow step 55 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004870710928 --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":1100000004870710928},"decimal":true,"detail":2}}'