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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 #1100000004851715463 2,557 digits created 2023-10-24

Value

7820183094918229553063492715974804081337025321794094741069617209677007941901975129216883845997372860128685024186802802691788648614005299524924632418307239205914319426820388165864349542880752607905265259093151644201541148187867237994604547173202816636490841320225892091417802306016252016046933575423616971512984597966452335164967222386675575519967158566336124220628665236684031880971977604485020073753669344156713746137505137220571497471859563503582648724314005071614151204834044678019869596311863994425302810025207589463315182772119273301626564520731509344806930152386561768347023522005806718936134424391979999859792097526417511928080907089547579617627075980830817597619722063839202717955173774500932828370034664102278814296848001422477592048080409681756733242222591770757599033920826630923953690490561161464059260015466678620337252057916891868585151978675112393256691869032946475021054690019836926897446672337433069679759476913406288518651706810721346264086389788634312622565910575129449007811802565252544967920241769313245136454169978922999790861159091197457763205865591543909434740251273743834190188897078834091960290623733640410891572510503388862924154878855265594519021118882207552436517475658025934791294727382318414462919541529491431131619837300702397102995164282772648427032391815069310369446003998029231821412893015712424000367985359751485469781733566167585197957336794588855639821975442502926369841767240262735214474523903510612465442045505445993349760915977544270451636456951716588127060327943956103136858795309092371030283902952722177267311175431646324345659528151144138282997286536790437630178430150498473351055581836384602774163967903414183218946091671469093562898952308814058841519939754481777716298914461291922266619106284096490559518170620278099519555240870282696392756205969787095905380947389450763241249777523918819202012544819273536225148591759889691194262793931852452098324911971665329036097076418804190456362107884365949356558800717971434329720294805922228903293723378551160388215150709732730721212328358045013125168158733776449816881570407721684511996343089607529577250242657513045240030511527028832677810586964918708490971466207253177147133316567840670883193226038045352669942170988657281397303868405281581204487891198255478556578139689030532784481415431473224604498475791401032069945080187856261493591507053601432906826828459293675234174751244547688812852747895191917011684738735814442765380235847805574466743990909474291071924149140668794002371391635619184875697539621608416053717498651391433699088643822392831403954570790943711191
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 3,179-digit prime (345 intermediate primes).

Certified number3,179-digit prime
Certificatedownload
Certificate chainshow step 65 of 345

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851715463 --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":1100000004851715463},"decimal":true,"detail":2}}'