factordbrpc · fdb
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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 #1100000008270920348 2,214 digits created 2025-06-06

Value

573426969088728888518361636045273409552139171707395560453579576793353681847232122479553768442172676994483171517349654889253331252614396186444511827390885913126733330270072501378198238132273724519484042147859421035417004756402842380790674854215276863517804911000163742116909477500616012138728885089487642902182284255549983884717523521047867247268412448683309647789786986319180317621701271206166070579589438127660396797364605100001791087637896388146760912537612235515063116300428000392955077478571592642361458958126922465240336887650539552187357340871891907479094428372235626996605290127621373301182952913237058765168659106574208404132695587662512345269413523329885749396334753433178736410603920987319012468517723440199531831102781984797383725745599997636102574842594618203841129343683597692140414720197241592686381529687052395107132445486731550625986636115387158588140869166354763745667818020931258970832383500626394940396223093464236385374213275892043016407966120089324339105401695481079871099284779198456344153739963254317020417062838672330121648755444574020166470937150988349365421941961062945330482874394874193562160396773991117353463364406257906309544628376770428111434350091488010858427280021355562858967757171669115632871612549529194776602014380758883679140144988581341149010577573186712811100453030515142067235723890212987272071933405128225893810228778404793790647937142497850080701737648729260554274499549471157735311977980155462199145611989145508127426271725097193302995619854314543045756936732503538490165667177857082716699894364083710654768291794152368992511073966330222651909878420696381332815095816455206037300460276704598609136395466944908379772510098333318051727671175868016480338047773361036416780656975305607438640360535145233415664101933564598278392300655978498685654882704317342070713050236201189949365966771304049092335270189190752186482938625497105218903456943208331806130648763867892850971781590160056490236325680656662980839267297047663041468151330746634365157277740975008070236861288099174234549673724277531935397264092085550859625242268342903033672893783422412065053485078095412042696225228733917558577479294576129459061461000012059602297057467907142576208605063263791191405400867484455463
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 12 of the certificate chain of a 2,344-digit prime (246 intermediate primes).

Certified number2,344-digit prime
Certificatedownload
Certificate chainshow step 12 of 246

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008270920348 --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":1100000008270920348},"decimal":true,"detail":2}}'