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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 #1100000004906655278 1,608 digits created 2023-10-25

Value

177078445741061919616276238909231876101965503189932648787629495336999786531263141854853861441002189175810659940946012308332684570633880665080353748761387144456870041745431435987179093723957934738049055767563767161394834775042839872335757365332437777180789894092688232620935350675636495576716901051031596459240518117060023992923179007401187464302330791608974282365591206198951284367666870868621620155231262118087197813282637140616882909567115173426837019787525270884421183670629500326531468877013273335491636989919791743984586334629196093984739020218804279533981865960711745372278241370348187601483243344586990309238701904994307194827622462106249288011000880519434934297925797394352430479080253145244110962673534318014860229983058754262875352325595738987993016784438496992251242718970566255327341409805208707233770577574547416406068007714106774438848545816976353261727098188213155601148615971548168902229377809039641001181384445263560978574256069830549076548661613518373293766750787953824335475743643083449340834334977302184082904293830289072301371809750519282070149830667858443535486995245393935994186144266618707029298768472050194638218160454439382726234924833370667373238290172643078751993767168326411519656864431214189153064180881220555500639985059808242497841872624248488955384361731935273385178454131437130813870534797240788022005233045382141641340946895744027375964581821150441484509325891762029861246384401947135688139175075442069230298021100989967491448588892238462442325012684692565190232368394354056723374383581985749081672713008164211608355149959953665606577247098271114869255945426290547746482577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,022-digit prime (220 intermediate primes).

Certified number2,022-digit prime
Certificatedownload
Certificate chainshow step 44 of 220

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004906655278 --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":1100000004906655278},"decimal":true,"detail":2}}'