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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 #1100000004816921130 3,726 digits created 2023-10-24

Value

175872914512464648723125948871510698836037499271890780234778434619877786773051907333906974835666820593600260922069287370819106454586711922813743006224435315626000439460148361238995181946548697698092360577972551718418302430506834230943024621936110286750444282649473217630031260580174823206548792929530912542626475666171167440581422752975123618560510815815021522718552492569482492872635034813505683567060145485723449805297769261982204317635783863518080136710748378865033756230341728566756236889804571082112957951794773091768286656707925646328460667201163045896709110120448949980433203874184136457362127640491630731786304422276294422818780700174798221049529045255447199577666391066016177231348529954197379532409855659598930423191330760683644181551244651325071454335539529869981296594930438989400658700068987170618120024391933523499699589943155778713404629137161667821691590417547863018249582408535620005353021568908767937773075869401034933142653906834585708126163284018083163294719233206498905337272183071554943080587596611422461151945997146131118441360883554337619340273915068870431394269502367952321504962486253971102001270527549282997414505865228137388899750460603322200955849355563496808073923189097823621458817122035106825619195722133571777117252476294435031316348076830817600500586035840743766421929048205159881652351046244271931816719112536246463374692887984137521737294832461958747921087250663478728200658528355033768726519339655271398236243279260137567257106511953814008378560735124017956017987161777914605175842175947909498047569237274890715711747474521042900845537728313533862034606395412775214323590284473562240386536817374934352878997697603296109986335937611771998221646978001410902866888088056382101455103891312805794624340745086124007923361085474820715692578243898524943733840346681325072232580495285920268118877769677316732243533437713319983029006067302399593771381498689724205230618856585922995898805374212240358583186585691837381819412762497676956305366498741258900210166966290189273878818784091071928632397684408159192951121241358681080710167904154368008230313526177306595101709944573803824693782954919592705656192153813686733310586986348816847757824039457669872083836475527046535011477273506277748075703854226286906417272150520030821331546979492137289442657096200886244653809824520923271894393500680827586719971100668877103027955043054165499232199380084595968774245620595720920399251339166790385379116827431014540815999738119362717639552071684741883196091953091515105082627840527841741375073186113945316014051293678309407679252394010119192436692135753046925571019000001825411776548225678982433193742796356063423502388423167078549221431508731668904723410980404008554886427341595769479735669462056376086695419696256276235285271925084250856725197803530943007614143864020910142875923005856852038044073297975066530833046368223866445384125312508842463113677702715222448044384029631677135144708401724449734971912187270724499121934940426524981587423732032362255930770182430360335195534999669342175611529287959663808185207984493512069244878815248596297263095866796374361166731123199590287540942774949804171065355307050023621830985635878019342232835242982147632954604997206761566680606026611269995418739306192528159970181471525738535170925777364275687146280819919987020695391997104143086020550079175521646310320625830060154868753759913977295522104329255931412473424978114832563227695104883761349020020055848711174259630928021720926828091015014951988682299572335929397967468475480136927461956349308556602661130141578318753038144990480914273682456542703492660496366113869739772209059509232030627711687532792573843459909268308524595045233709412271866515545935406851946979007334733111680378499503704502247597595699297665677
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 158 of the certificate chain of a 5,268-digit prime (612 intermediate primes).

Certified number5,268-digit prime
Certificatedownload
Certificate chainshow step 158 of 612

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004816921130 --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":1100000004816921130},"decimal":true,"detail":2}}'