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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 #1100000008814506623 3,812 digits created 2026-05-19

Value

12510318520461879914531498250183344465552974710315923209897206668091958833984579160582056804758393724791862968064965139073893375833030395235405209568482241742254263036540930887582248566945190031207283559854705979700831475495174091021404420939503671521012222778948486146709422127136133663068773805252948327103818289647106633216273863507499035823033534827843331892910304672783061781853995900758487835813523102080566744519733911512159552435650000627621961769203476571474319334745616859228477180153648966358673245241377842055253131618903095984306218169508922020871524899325098278842687057457278484686931641603460272015802927286801227884820983177536315646986807239570097683882701761243753379412011224988928269874262447592943423720938187505719414137171066289097884843100408605612539992992296657131690889906311609670094024177211893135306051866473430027016944001551321757925952342413211351281552749556770639098853118236352928662797085755702785737603746702194188675100905588151377317763577373842648194992035897115875251681596133811896114106101886743971288241867310579706251702590697715060529271538104450914627496040864256895438903183084184880162221995175804102402149131127976587320356416830901211947397255822762728282171311983791605788420273625892026007990570154781792814255867720117262102626228097925549346995016174892231617510359037158737525616090717662523579318327167006493606847677842144357709772909397291987342326190440881155951923824707583278868193458241379044847475843378128373023279452676223773747934375074771020098151243206709932932027440394879559865084807277863417475581532016445864584633460199487036787339233454718015013807181630937132730598895063307213294183656092274281584156361491480996672742324979617240272226677735082603796332126989276089609996628623550343957398373596197616409430241812071314447417815330623648935811332871090079243164272176743040154394344266021864489269536233858677138794718997244453984594066735241629643396338420242283266747993355377956298716411019411117507689988901663376484751928378564397397647380768042828993101429922696383299332175957962080081245272275019580729115004341124767118713090350884723076587189730642615720552083864923202356334256028606690400210087755058384403296411730704742626662749441487910401015284536632239166031520629078299033305193997283856104369977428838420373210564998350703162090863608270652972586334325260603216417927430634215024021391984310359844852076160407117938051217765506753104358581850058436101126569425544140154536904677345568942996138945406789538779518702574325038619633366495573017906652099268252224408183569723207024821808901835780618547172879271212129438357877911622628789885080309300418801605937639013323035717362005420032796266926583185142335282420554665921182678447123423538756891638920652626415456906240229519198029589436786460250488752360799162783564230828872229483671344966626256481058893747372004788351691574386856568399710080907587306946135235827571674227580915014467883533153213625194723832101949677158714601433120748111790885007480573303229959622975483754764861383672876827066495223709663743922841464591942321826476005311095085246881960393096070520996127287672085002111693985546514832649792484118852136244613025125008302686475591604432338056477947482842277264621690483065018292735506460509975022342963068025334571223932951069958073321514058536501342961585247880238939684558633289950255268168720667290425229751195438302001341383121030072090925063853772408201826850162594791232775953345598727120911339177614695898962553848379796120169699510120077766435045960456094578407009178727691643612319672336966074106750314499577536359622474172006371323685011153864746058404408316912376424776962035119957758894630175044435633921552706683872489727967782476990484029994311534331349978875289427421803142820932646917225547141971517138283755378887028291207161
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 90 of the certificate chain of a 5,055-digit prime (326 intermediate primes).

Certified number5,055-digit prime
Certificatedownload
Certificate chainshow step 90 of 326

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008814506623 --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":1100000008814506623},"decimal":true,"detail":2}}'