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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 #1100000004851076421 2,808 digits created 2023-10-24

Value

781241320139468118990512548557980028611373513387919701040543073849944499687338715539240630468431539946474088195491671449378508708415422773582240169877767724827743856332108157871284328921114399295428844721529498235827943293780153651313300764256108777027228263371291065912669315744713322707694861452347622831172809344156311024851444783681680914204371874394094732685309092682655467006370415589187449131220407002985593032241805383668017728030357133753270333036003304686768580662113180256640866746959907366554948798427605998746699634270827993449632636571398311271439704479174134241299813819359775469358382584373662662017605724841251847669682819535381758389282318458034670479374370832900638336386815967207417587955104108856387338278443015061723731706599406733326313955692620915493684769070818799576126413711310473719958209609176013725961083432535023142892419146421423725138020414062574455217546241136932731527989784002481870458000432476502284321847112890315275413842896746399968494995038809650062319784427178616817797633118179564904747227752268730838883184447193385959077543136731874149390069729756984416933540440398663873208458618631577651921775941773178319771624188202325494854781475981713465812767313716570957279066373182504545612624149536265116359613127296118680891203487201823710897357231174396899809340763500462445808527234797222484138078802326936912253463762968983041264176630403996941139150217060703814142078181279664372403009221638952785853527127515240929044527552907307610852145475762990916489716810964365284363471618326033875617057311847881923078444167041596926477347362464036434346531207356050714430355686512136996152538880483295860008475181243503728525658445638932877868830133153910412489767763118578683450717532232181512227216909428339388970203251850636846007746488688197937134505040022701456879526028875109805074451200127698670468462148325031244688129584057519541147622159582594096750562007085784298618132896565042119669295370972415909115380369219931412633390877075558065432007280721917200768879024452799552566981379649067944578789781381796291425895482295977190479066205480676351906810174933452687105743906075270926967460986963703942090307495110331456808906564545154208747750205488825327415410047519392104808754931330929528173982351628920974401534489736957519049153896225726002909214594221792401951481445008283325334910461495153931054418900276037777959571660552037412061923815810191022393193902903437364885250563292282369676339012362598729341385150577013696185617448452951976663600851623207585077718113553260244011594651098774056941796657874954089987093310685427897510734598237175594156862237745925835099401548155305873435928162050764984344225815792297388341140925904023947524794396583506750946274714678443562647494473395442000819188082484082036959629655433148753119303336023526439873523861139531559
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 40 of the certificate chain of a 3,208-digit prime (325 intermediate primes).

Certified number3,208-digit prime
Certificatedownload
Certificate chainshow step 40 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004851076421 --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":1100000004851076421},"decimal":true,"detail":2}}'