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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 #1100000010596012438 2,222 digits created 2026-10-06

Value

31170315712778002891168762224923550237433014781515238093690928690629495940537291976761179259657974637863132879741383053254057118102538791184464562492828250900150789170504130347736265296701961858521293472669847580375068468716856740813472546789765034140361045993831207187075953381802398223885436403557206014655778780419815538211489052714095827078451463954259605084732427646213427079650583561840339131793215655674924081331333578188272072152245822517503861116760552211364358829165064928033388719071890306737777391016462654054134369483439952731941010460405465760906703760824176168250500075230197067469013354316248917828715131468079421506192527894124112663476182779215406482648964899727950158129437097823617125508868680413468107405424911110339904482249266031375805930061171628673070175778827131448210904702175852911498734501823466431717403820802490932995709266956322409048957435441123916894278839757462363702905948514507181708066434904156775125746453127688448495411989982226990883616075350605454759794042861965870859715340270338810278936711535010659532849215126216134663365652602297362965168139993229751939679352534597804467375830287460028451517924292607993946713807978845812302387498368538382415175218797610482888002205370784470862393161936935766543254867028153607869018739520076961121652533643145211686481795373174814679958392018092884933715185530540137312609838298589328065399767544536997479966036127029634908352990136942957900337376239522258497727242804936644541742782202889182143806218629005439627417935468474751990235798420624189846169958394821378421269082452559715817114972153485527536103183731337744557994109914448252253388651319940325478834846679290670640697677639034482039098169268440109466166128401524155390162542310225153326281889107712564613598202673724263644178697503507184220589560083808268972857931092060746331131131475635773402574741161696752880880637109306659109052215280398629461645999936424090803221445095733448137565244603469331574111352794896016261371884493047539788020337634667158761668722428918713660865010829472791869524076107135850399672393650097732605335078969792342560824778917750581819901148350223920520431606550744767519616132288390615691189215586565691287972375950022856086584300298084012946547409
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 71 of the certificate chain of a 3,200-digit prime (229 intermediate primes).

Certified number3,200-digit prime
Certificatedownload
Certificate chainshow step 71 of 229

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010596012438 --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":1100000010596012438},"decimal":true,"detail":2}}'