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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 #1100000009132970320 1,730 digits created 2026-09-03

Value

54381282249776262907400837833156294111567276886954081053335130217921014795138890071409170263696150255679324780622553752443226130728119579646126881704692772238663404534729622916312161781678623802073274400833822854030743985014888439738256778925033037412009517358602120193564370250687395284428684552902694430836396269004119780501266618645129876557417535881920952395603836320941405000873877039211163662877773839234783284489046675215372748075276046268758484286231187623002115225448933429739789212846733638779556194031476566832654741664594221080323275969916352242672719511085596336581174431719357573349457108779107450683244567809783679888474647976474964451719891039756605440219000654516067688595269232799231511173623538193167830023767846243039738681569966795671155792088248084357056488904941313093291931834380078276522363352090201323728844724220616565576832235432353450435577348457319471830376608480032798583252534630972028025190754740157444169458712497424931270841435524272045687357688325282879738384647703474746066220370145341150533621897908967700053286168002593045366285902105001868314766432337741887186698554580525431938369392917890354249126789187180431615111324722899221517159692117999798288674703908118748158462473659398250208295022900694070071308563785455490528892709432762458376713185630505127520974459467807970250980076348560127314083672838429425076951480759011117725363828661090805975585865784044567807827339543430170192561211615304087528151103931600958181159683252291638497543025469220840910112219276702298787465672125583311676753810429819199539069643882816767504622750311025724045281052957732135042796135139325640054018961012413081113453269795656443751316807659154564410281021039919620341596610947458605369780098832338863777
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 138 of the certificate chain of a 3,174-digit prime (323 intermediate primes).

Certified number3,174-digit prime
Certificatedownload
Certificate chainshow step 138 of 323

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009132970320 --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":1100000009132970320},"decimal":true,"detail":2}}'