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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 #1100000010597997057 2,308 digits created 2026-10-06

Value

5154758264205088746957269736347257293928955076386961419116747573480292422024751508490080553687245867334427967102692366444671746542498887940002578866371367570539476188953452859433792665004384256404258933357357313687629034010479698389827590696871677092028151026229720726568553924083212683964743356757855626274406463459302447368688070804702984919047393658916703137266382312728132006921333960400593078395704193713499237234935033565252487546469185857463853345564834033860102108532886932551539846461581223613014282092717093322470304760425887954230839132689794747134384339757802942109516131265632239673739409097483496772271978826926107994578029203027490670296257340472410672736551871145060273651681292656801501333931571958364051653816618319730815604247501249890443729114183264776697548605978322870448834074386472375853132908453670704283603289667094629959917045790659193207856639420892173055621487076359223202936066594591820328337825454099572568224211722934633084145465058808941613384562887910789294544240537766690589436298286978139335441058713752829449063431996331610215568761370521042638074680235455775278166250010625661665961426113975960583940864764296033936444822506529527845638703442893176014478824683994857334807025529128679690428237468805308353706152893013283410670933766331087030310041824393896609713743342707158901001452452980155042575576928523907061501144088475961065274800924848126213017284628476889207322865223709917835795964872023088653377672961214851324947736995121408190134710265428009804795088185109365717464848536108970726526554150533637327168970161567908100994777319014342790429774278393148656186319485141449989474137363114999033847057907378104283721898350674629059956305133869238569382114405978492203623435673247220582877843827317761814804385633493895050867782265969733365514120803036370794416108881985173680773042172130250853006916632199950300980715972575555284935672282227079026532479526019074084531575827170779368640103304888916854484118627687387329431994308896816029958505076035840239686559076783417974570215050041990780311095311003538008584568405899545431148382934385963918089338106769669654422133682254300517888070430937304067312594932377395254685955807571447227290103300544577819661502658468868399637958342687200564357695173502726739108779192840212390124783308817679044343691941473926861993
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 3,200-digit prime (318 intermediate primes).

Certified number3,200-digit prime
Certificatedownload
Certificate chainshow step 86 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597997057 --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":1100000010597997057},"decimal":true,"detail":2}}'