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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 #1100000004917632150 1,881 digits created 2023-10-25

Value

522393476534211200549356569179053734572722935996888500972197459491536404318308472716813532019194656044853081457082881210445982771990629876582696633186910817704536780572813298127474973177884465134005360320725388356532033815804756873584505978906077985847764281879942273672007765118853663878755987483096737699183444696153497804123028402320298068089728897411935116743230320813229591633372526124887864482771254949348796476773547223341156397119503667135885221409661846705695443692035745353993660394496642526085620832635755638766265914328773987719436487614566955065931067551010009544937763736493607915030565001594774769797509159205544915745682895778129168604965659786258125644248090213273786106623579092457395865499208296825551454155224143156805812332807202974562044905177122619914592379689975726866934120426920027648823088792163768497561636323407175124515953797879501883354474617222366631712468479647780996718039856736576234129151995220617682697418061614032027219979674203326901854277566788697432607220218049691284276699292951594689634752343050543940215433024254578048055702863647443332424508508446507526413189720832117489415720300357226573551457488467292169414641650072878128647170891723697226259962466399028900379970618919199443921145639620952159728493402851350848765641870708032262372986976873205322495925765443542427681522316695860268605261530669686475938930477383890832197117456171059438748171868306623643882010042913884130352542926244313762261023915163944278158238679941962194764840692840426560206025330619905999258648369379525808813935932853790845618428724510558782366905082879429179927981769430166135494533043555926950633782121785911221454175429340943981082161008782189014321961889103245268977349037396302499656257399496976600520215365734457299730481827627753440621786654826454311203039906504807707243229051114169241948942016731530203975970004383674767453637426250742971345374287
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 1,979-digit prime (221 intermediate primes).

Certified number1,979-digit prime
Certificatedownload
Certificate chainshow step 12 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004917632150 --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":1100000004917632150},"decimal":true,"detail":2}}'