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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 #1100000004862381102 2,234 digits created 2023-10-24

Value

13311044743027503385747292099431193632433117864899452078158039842390155177007584988041651540553581332350487987662278858697084769827645106324663145277802462035232952546097595727682782763655508883072031321915056445736361903656647760719254723464554843021947928559498918428812691263815000943123439961536503394236876864775860183279491707770984685781360894476960643712325727052427123927336857997582148639693331060949477420953922967231432719311113143366196052852064648292934291074175125117828796079078472791313524640862738785637028705836970950327398830329965440481629055421363190286923535978676319917982105567971935711484170309498074012543657079040656053762283174111950618334529841537722427777427055764372305313064225228887276069882129564719905698316996619479475966680341891834488253121741881077747269917347812713360604700199802648214196799897384661191172917266054918886393056684469938920909987634687415806855384863449143573170271176228340531242163663007296981888781686976089278933502923741321630151006527725129777667659449913676638917824755787309082751475922682852359572206999790828610055385502539270122081155509315294301549725909078012606699836532488637022352482832726662111696174842513278085717522815527398685064184477271996127486305113379208285776841549020714564972813251895517984032480453649699308239588225432357504606582645444557322374818206275987629806478026081129057211701504783531923030695598313936544619032840541861063473599901863389568451414196538000920756131512251319720629523975332180488054305525618990272041033315104771941485613100394227357069686572919894430427958711621913795383390600707750275684732664820842458659143743413128289511005046385458540111149211957411999317222487377478324643318822878620410233210351698884575282437683846899321973161626807596677929698956365077867499010658060440974821760245567539109232355905988949816401186125643618380403046061251470813078846653395477578954915863721838609006516982029379175584381637262262155817519792311535506055624113371441121210033742602582558323571006967000815409114078626638432574230399115930035825614451474645997372040145173492515332879525202696282570498279047492624529229990361630708723991158115125241919678720968633315651997263915012455730821514045823009421356925457949475279
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 2,885-digit prime (384 intermediate primes).

Certified number2,885-digit prime
Certificatedownload
Certificate chainshow step 71 of 384

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004862381102 --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":1100000004862381102},"decimal":true,"detail":2}}'