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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 #1100000007222400898 1,815 digits created 2024-07-08

Value

186873604005578666063733418503665718261033002784122580261670585124483078836532581022065824533873365246260613157305638528876878411766362517669940202713793097152125170477592279440766561077586082135304309295778477692374869139539080544270331168502950019769788277145064152976299890336206367279547964782511689856319919459457269460779332224083793333731850997802946636586185103281149548562050312465345024927320326063569182560186900322842468051524508838903540645490439799896605994416890720937570425007807971994718096604830393592350559897066460107631046164126216287531987992519188346143868309987656573453114772941679115952460598038933398729157773486784508226984555535989530536532735910675321307358601615298910924009761644827814416536292399393188596898632034717879193245917582431767649024205315937273543875946834698334292586608242073165502452870012473763185333762951532558921686097719116849403996456685951816439164628134991343970656515934219870802469391756896045655065464402894968296556211909639466885350285864485384729442072939615637036631255345834146384152922872327047757578301408363761490332808733135479712988006703088367379755608938369226815177099244252013256220039485552143237717565188694763458756669383914955945876140307198628632177359367270094256751468324429002570790588381835282087243517092091017003877576920136094946026077676082368162829140724724989816114143584866127498717311568096045003843021527764097701127983705167544429342136129377647304584735471300565660553204010907624338697059121315258417217272628855496581273308188694985766904753741505907220164434588248104025039566775297544162705851446140070684587758593266129580241975365916304583926561302677526228154890074321278686401719493653421902327601759795557301481903154952769084881353210860388508270405526833033740981800167890412735831117155509465925707191116378301
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 72 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400898 --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":1100000007222400898},"decimal":true,"detail":2}}'