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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 #1100000004828255216 3,153 digits created 2023-10-24

Value

687373616337169693095635796657488648454538885499871173040150023976405852859988646779259257375801802734938661969282235802073571821096738595586876777656757381742324251686382405732045482230073248950580682490804808934884902285977750612212863829505419867365732361266543866836513864962310804824562134755563544762808447026586110233401003742511279314555551789953095017119423863548036289119835361719448318955280855494412570817775216885525939350650423252392917126302783217626313376217248154565516972283525016067926267846082220258311487399747865272940844616814518885449445669351015280340645203922920114326388786834925104746843107425747738506544269144452579836616102650474973630770932288163200876751160110720284283284243257538323581471068266919623083268052370818189390295769246885202369190528993282123325338391681334132595794599849255917300638061539520098610088589104291301322543180219408691624405198930093146306556707954506651475530525217313684010891649527155748215623343093909630342790551771833887190573631334297609968391256605888882985026057911886724031640995162948030117578620937395239004297810078593504264153181793444088126116205112100982127348142214576045401968430630836441723816543320260375932543093912242562408684876819017274661912018083156504367684296439686582435069171485222242228341199760984834678823869775302192168336629982024803165374145850067913353858984297339309836422421471934180546941072259720912319016003748087321437595489788931186991913199906773322388585416181132792958883458749550685930985486824957653018069061814528602095705403421860186165187610517849372777210123149574731459247433884229960842495345382674922645715801549240951648798846745491040153596626750917155262923754543615635785340443212579127804393882083884249582719238087586434942548723245246757889700868159405871506243963561350007938432643801094543953206726940340319167807250288685882115742217962129312051499375443947513865615798417706374803302310742518603408268953921145214259686717530392431729396302938309588351145734602270521734312501798540778726493064756228215290787137937496330816254088392009625282163017813539885888494648707239212450106825435187117817629012050846814457750117993369895060892430400913664568491271641728526643916221698382049907443483088281778776885769027310634678407959461579845903753867683108042279136467616809518899651000730296270931388122010292403053812892046022272444399726634289807597094741969745738550883451646177726127444945205219885470071641344693482634985183318619788264354851442253624722660683255675646524259417068763116513965016875613865925834495484117235719010953489531726820203795642868184276763396539099133046189425330169743869275384246941426776282817990383135196292714865082963046066368567487445205628254102695425680117770357565068017746974697634149420044235796453949433525814763876335719616895389607048720339982656842998312471853095792192602427756626844629538041572705294464321071960951365505179101813194177895851112612804818921295573090315049128742143860157540532807296210963893097781176213244835723790851611558257139958598231658975089718940589988932839902548983245954815789015312587067278888365665688066280989965916020618520765673249583471759503453
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 4,113-digit prime (450 intermediate primes).

Certified number4,113-digit prime
Certificatedownload
Certificate chainshow step 97 of 450

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828255216 --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":1100000004828255216},"decimal":true,"detail":2}}'