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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 #1100000004893648679 1,647 digits created 2023-10-25

Value

343218295394691752669987435036402902169171517720543261851870231988748128389558677359968296603527431968535718176543535701509612424124561925963944087967698621511494049628097639401279167159340966019003938049713770392862293755465715018205921192844038622238094378625872313915702520306771683164037685351009489288357304903240173879918423505195382926006752005734236490324086925583510962215034551364551217795741565424974456318683883253998861270721927766509865204263170637979744850433138752180135804725702462788531473571548452343962438471626025481438149298456873197129241716893526479057518548978198472919009233737742444328379517267620664367463372222559609949770832704689743947333735121461123665249406654388362343173614101985083202334271038493681193821584023359759513248783291808583103716414696826240245654881919515128052394672532252973251043420032986925073908960401217481161261626053843636967593156619460975111345645924334244646097843110023162164045327482861445413113703659044854574831329780183512144517834295951936785371245383228407886186531826470548504116182446643393299338468677447189429762688490896545260557608373830673503607292362992903999366785840569535983424513169831797030879876272443372965487046459378965283058656172399621200535561982225276285590165396206183977932868351638890831520312951389249890884756389435261224031259126961278123748484040461116755801115744828666317972145445067315067411966612136986204452882931370412992586834983385189120777591744668186046552775085097883047146225528127463270815116822837083735294043219796009079691714467662480863797126250702793635831393329740398091421822673027612654447690206376184481254109737534411041550541783
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,182-digit prime (260 intermediate primes).

Certified number2,182-digit prime
Certificatedownload
Certificate chainshow step 62 of 260

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004893648679 --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":1100000004893648679},"decimal":true,"detail":2}}'