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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 #1100000005738404507 2,326 digits created 2024-01-16

Value

2109391830022103057438736184640728239156436288879093185983996895301653172152243998033385456278570910512809215239180818323594091944860593582142466314916047959598568672057549927774740977241912838860062258014679487976738693374127655450386422324132706741948207226403566773612599720492722768458499062977876069990209303693473883748181227657181153025471427056084795593031358338656526544179261184208751075209565621315783195198158735998548061838601433100971190026832330490078417521805701555034862482136101800362194834846871245299245642580557037706016695648117374211665846247452646044436734088469204462300751672994372550716727980087001781676187772188383285915513346169647053021189277647122407593811133433338566359322126314975205049379012850576666099853015406857641381846138433166595344554423935691812289769762380558478957849638211632793477282150393007445297973266941130555172804997231996321820530097779420132238819665258130915203055153671606510393618177370311183805275971222113579715304655974932393249375316772958619190847379343059289962855959135315977983921139165568886203299340683496940396080071745928307008743364152557033060644673233207648079974859453570481020443904007895876056342382089553508092599720889054968237127746219983266418240666641084225229007097148575754610923991167058332044914350465797975060703924453895044884202386368733467469832129288071873097760191516796884165051171440620916733028618903467682644563005024755926185409433368582720697029266456517030023256698059802780017652250995560099333126823534345375461146262304583392095051259705795975372411759009000739090553140615799341851201889433499459741833424292843648824297223433807866082666354775542293460779029269693451332411353144107653400304530380323736281231960323347119778606535638677463338816731701830642301266885513485724578249387542763109528066465010900542918613095829116297317436689138189293698781095924451588094791049152269109307244679514960023951055756959311915249962839860073342278487002656787343591626627002436698738725601821275483442311099509194456129931602069101975883359391903174429420326587886761948406595518789023729226697867299598291909224902550285641526480553298434220681613373012369927317446611216364571706328936279880530324330597994686767795180169710667362277504315032158553548362726581253070986888756339468694530931905839786266632094670734783931402991
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 2,504-digit prime (187 intermediate primes).

Certified number2,504-digit prime
Certificatedownload
Certificate chainshow step 14 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005738404507 --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":1100000005738404507},"decimal":true,"detail":2}}'