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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 #1100000004891139420 1,861 digits created 2023-10-25

Value

2585165200561734703444812532656618982961564051853565208699159197035010148153914519366971855204692705926086654019504316485492149302171800983364944486611082951819108054737678664091065443034768066689381472105240642035437596763544899820276340752131732179841608039175888674415434174163955902845163812005251459002363341922046571704205441276636590517927014689934414468208412866483403540927432061527955430134262318622067800079203643801229979246512370482659201706550955847373487993946446965848817770144877750055762564956793043151637572097032576520620055092634929724907487533410925546224321493021844538878493529565806024753788945802434792270538521368839460555199914705616986772231343030998270282234445508154547457380353193832115242918074764202412120188508432736781892626194154326136498294710223241870781911760496946179441955923822746464833963099779936863212216532079074043168477020245795401879962485054585507407238461261820901753039055798238111932375575821125764328808455165115895215204136988150948385905414890719563094864570412730225525200498121437359628456834138278925325200703525587485644571385587319395471176074333459165212064921868375410217726507375181585598838951599304489404215197872619438946158617014059355777225072464725318530046978539793080036213844304888709724249154971960351434057824148529094556583892248563351939213763650770483608486650133911856081350697514722926100756539112044525395466190315882763107496092361367513608884571931154234182849299612882920307451651619963368162364921570390064104588732849496323295910986117077784772277627908728069186758408500384232492458364192636147756776231909840516980784707816042449621776007821520163417425396411735124028417355099032547037024359119937601803952064603209224891931275176908459802466671674965925664013735146612692239146953609393866152089157411686159745287679530981679443902961054588438457801682726635904412528067
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 2,240-digit prime (172 intermediate primes).

Certified number2,240-digit prime
Certificatedownload
Certificate chainshow step 31 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004891139420 --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":1100000004891139420},"decimal":true,"detail":2}}'