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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 #1100000004875352635 2,078 digits created 2023-10-25

Value

45738339769240977766388273798817781485533282975779977653010920612021174094048647993222971667615908736945797328391009214688629377583645312909327983681242252019952241787784934762934275107626254378309836555357103790649213958575883291379805535950983245385002258027648745945581417664469600012518527675181716186421410748081411532880580707690308047548286428950778151971991661096078445810443856336500447869718500070317392448607981180959043813544879027747312105609101118401241714177596185740695655760523631927197400283256980907108377025309978896098481408401869059962485207357759947195593243287478778983856995410775289982804458328372409154111255065518136360818939442317292443910873706623000544104040027059905684583951614190461068308903210443811507074763330919327587660925994015007215385505881846654288618167630259645703181221585862160581765381109225250218918200500742012968489784776315285930107330962900313134039742543330172638043717196801840287996451327836132858929273270782210115621739865376642621619369220719359992632999017992183103792619406024902975863140302986345267148831451206526967755271044531025393380576726479722815856636821624892963857101667551037978846822739507232085737040901425388736998770366606083477929689974667145103007893403860720816321560998651235969637892881922270611247109976278552600309825842699895122013779806774673689794324859734109800421399842179752375920400287824700479912008863264908149264980202788236566814184883834801210725687914868077436296890094305085177164099356623985635374698881521565007685008083010909754794787570007996155290950388211518463817476129165329690788963138953191943734388592343779348321014663181217182356414657307646743655566059727368244848628512350533846201954034266297241189539443864345703197523801120258944182571566495854354802530310867366322054578813811553977561544557375994939414647924511549897280128671792248523183153731854902886665047737326317398726837181316027682230151328459375405142696878172360667509575140723918691259177681968260752867703000581885831387379917832116519992298314354168102843023616990682015951145054930556565163765433
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 2,500-digit prime (336 intermediate primes).

Certified number2,500-digit prime
Certificatedownload
Certificate chainshow step 50 of 336

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004875352635 --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":1100000004875352635},"decimal":true,"detail":2}}'