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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 #1100000007222400867 2,053 digits created 2024-07-08

Value

3309716244572562532884210542895893548924935294659261910936568843962248744543393731468657483019593251640633816365934591592784133362815440848564089513450555543688508288376942503167131135787967686815076068324003611492130621754119571753715221979029042274594253664138207437814134003852765951689834803090126198917861115919468475769673025755512324378218693408239280837638306848604003731913894736209446415838867356246706419398810715456414921933273999011483499941065159833900963009547595071566281774201896123658059940580722799173412365294354191251731858236561931706482050861307739399015869817809597842104740758769802109835560278901054796668700813380692234557505697105574772910110609967345085236606536680158689128465337853704991708116526034826147595511035893102141514962907259023474190580279489732092816709269481225749632327581989271990750477671445389975137462791975860161731045921128731038821395851243193727877584327872539646382107430854656045265664683902379660247795919980171372494227786830369176367670556535325431904198753050130892666795928043654057280965893886703497817338433880274018610882122548309519864125155176772484412033109339388264791033596513853027250631069832211001992074982696734649787887194691049151119788440374645585603904894936024081814197690932117370901344391030201523048055574928173761848979384539983274863132836816897305371629131165111916715076485868524856069228796127541737889862357355786826188499219310628112694313720904490702761077801732838582354307280558529372746325281484427808529019579777622639292510780076956593107938397444150313835145740353761459583058764116916846880405675676008600763055290717194389841119436672730888245681069482796800608324072306429768527291481702027028856807899402229360286994591512717662995350751221357624034564740050979878235884392907425086096193669560312489983333578822164510928854995868136400449462857405053988466574202636638016222293416828320533685767122302678188910926911026142599789778645682790948820929466482139894143239724100728646207440843640569547094969400514342468431818671328720786461417283099282973943
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 51 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400867 --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":1100000007222400867},"decimal":true,"detail":2}}'