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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 #1100000004878116042 1,710 digits created 2023-10-25

Value

508072585267544116498957705087850123997329684791652631880615769046111152433332502465062680562387207218207369851447676873198587410126135675021170491747713544072259317909173526396471185181466225270943239285877021230880486493713222529330279067664613163905751639490261181632745670630092363438141908184330137176740600382191752188622869893739083319276469482617431642967979831319589967979595801678436832715894593892964368768610530733630348605641376735994283693895511383311192410608901705956978223892191103878063649679238068882305614910693046244805022861200685645988726125338806162625035830968481086848862029333935933816847238300192303868472103221722117187044374943198960029075767085385199042675022472767495912735531242726076339831691528133608489679942344495194688761330263887834435568203237106611033210524680568328459446709920093604995089121193129628242139179405559973772417656557890924804899642521951582996331614693827995985419189372787254388371428133622108437747994789710737692911010345314116226937867983177572844330657930559130825785675808043949605846215830187068449230342335360098286277467108467948672048640313363133293531518871265687183452953353275244488590525981552116299770604281674422473483354233398677717331429578758152420976678183994775792767754780957168166507842243338835804666864994171374910339335198008643943966485836076176407564631001360160021429556387747627366607296137194430387972037255166634325456552015438247762917872118335881517272062497950455872700590293254454226141703167487691712879727569722438868888068009475417337121420209571992374874186358155575304300429630107651854572946163268265364936935864357303546278970050957099648620630865659466467406642292692332915207303860362382557080068621875760327
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 2,429-digit prime (346 intermediate primes).

Certified number2,429-digit prime
Certificatedownload
Certificate chainshow step 100 of 346

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878116042 --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":1100000004878116042},"decimal":true,"detail":2}}'