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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 #1100000009130372813 2,474 digits created 2026-09-02

Value

61357386583515041756272466144615923456837448849936628993612357270168144633607513314423310389382277366808662282734838756679661225356726220103142031308308945029064884186053303064595248244426005783806065478661591567880121994248767230976420182952502238022612949337476552001618729423948096742465757542744441577054156973083888771238226848256263938018245323279758319276092507539686613197835622126521691561158763551380478473866336482142512330030293929011563482300556165409988121642270024450411710521777197965850135773197202092628468405923821134966583003715714283265910573031607003166304444776384975825471370656399620002112593154089499319805893724759358878974489899937238394899669233321369944518662424373435191209988538225972710709787301980364873142753994211163431051990588230657572005574536931277330291123783532941627786924693235611378685077085304645727405150786544485479920588328101276238330583157333725990807312476250675737673705613905275839059724690089286827073400827033824698196400402634086144726813185080483284048666539694864589655073651269370350024595262413945633885935715190179951873842884406000987472311263014767489217876667331554533694413226232885392059094318625540096186473011119516341609019665823523788789587940008665306000368993379352512335367933724748124205360837314152007020453093948560124394399611144216637244406119404132242725743349622480300934066287409047238368864705740924729704811719498713816142590009739873270349403055014544418588878215674502395928022892277336881788118436314586193787405759671897383467791451528207164965843451991749954201312756839294580818495788290223653236438439486892321548703965449205023608897787049084985734987522729501650859796451997202956852316794575550436340416419466653545921446831311863681825390476448242908378985376948999234178865459130978382021190188078265665558299508655261534646063193520623687946447940922588603978117720098351193372464117317955576152431294576942360827403732605508062941917937006412224006589087089280499932751359726698443346220931733030840706903375733506772412637477207599423671052255478235891871084846312752502654551357128382317944625936397825999844724668511890394147010722848558243931820815243953141588096520739038189548651219135468999773338389655992656765956120115787055241936824105903512124966822148159313175629681410152528589571088590881399449857025275254215791309105974703247839365976268723299704108031318425798033035003218048489179049431348459067877472400382880219542190203618494323486678203179653806912609743
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 64 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 64 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130372813 --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":1100000009130372813},"decimal":true,"detail":2}}'