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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 #1100000004853463257 1,950 digits created 2023-10-24

Value

206004515752186719188374513871821807700889946280875132556295049069248075844900096499407485629728018059618105284810984505174766330197026841384229401047734760893444241824391581119419088544862601044142041744311324737708124645342535218712246038991177656623950573644322031746140909020037533591553387472695570057325547946748655284637051132846529793367522223234591814062075080609154391951744111597565603525689352877740415221422554708133209209557281945829401477497503718771597625287925666293119683352249140255656580566531837811354855362601798166008390029154678318937205894436371270712015047792333380482772908850452421328130988881825588343518313319391635894191468378123560986268206107263695934130632851500267743253237953700927103633233099382223994778722808040045152080641806940362703000889703007246095264572536961745480469207964275918836134969251027486137885027337776197709484806488641183714151499542319489750129196582821031954733428985350792017281555639438171657865559293403594519126647381077308964636110391554228152022517210630308376285914588690514671398521196851876688856476551424747922740670496744521945595990503930411249977028430523789681569179901656005857000665897676870904312243854331885946843648375286849935338084050527442851165357955913630370653357479343146865141429784568485243145911675042995086957806646778924932233084375407492291331702119130998781598237485099505038940878178646345975563435557993719662169068592399615134618442211383419738619030214247698967696665445114843844244810887534959846821258888273818928214060082431208572543487597445039643077371923268232340273744482873789772659376087524960446812522158208519204799537063693503161896737516980900547180818748244401361435082504625834242886386728817524253990939656208678046343666916483348081771890129414343527674619442887332138381165797603330048190757243715333251708729332169770533385565868209452829807933524537760463411765484385801636661371753643591105686882452830754200325904842799328123776233
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 89 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 89 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853463257 --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":1100000004853463257},"decimal":true,"detail":2}}'