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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 #1100000004878115213 1,983 digits created 2023-10-25

Value

147350817513861002924917394420841905250871737758389577506808513768769103996645684114889827313540505698990591064071512079909669919923313395034681624701765535676978050516777825887104013092712111301898186401665745134130528270137966714014399248984946379724256685565201856971677361262524697311965507402754098732920488974987272299966626643253921103494224300130632210266521420662461211170150160916122515835310592451126792758539539776127680919719061700836237396036637101054147502035498912568658611221715748218556250261883722377694664648310970689346583042448671680932111546446826302858620095649136274328059577404695747142158787458016876622862372941852362992639042620531083364392512611273529748176581820159615362371339881347803270214291566444679859963043587809909872996092116530784598536772370799249930834471615238813186806299446930031660492557552909955570856448076333653312352449415551892181348940284918426959616087066784674559273164974748983131579520872127516842345528871152799822679423180443192334092244844517039541813337887060903206215415420680593718342305928857548552898071563642942812943472241500654726627463338234166966394212699633572003645349043970588891493681225297922999610992499213793930093665686977381732878751752867618222359803026847923174782241930645212087341128859046682517379924722363554373978886238634121762430735891605157046767062620056822070810855978513039152028907905533082057238907267172947389238150922430564925228367413530962976130603922702937749749671129004522193492020339317029296910322107079419235846295948631840763397805611126704913543690523726618531054523456034906272077759181841465998117639318956532916354509316481334738260838054704185923824149812081133926938150986747660433590391216849787801552382899221421177701297676750393712102655941874277478958606303870297653447158614235519774530241548876417434916563394929252817796195956972983782981584575296576966978784662938517310208251131148446211870074039286138662293973753712112335928925349085171128009388982523004133037
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 2,429-digit prime (346 intermediate primes).

Certified number2,429-digit prime
Certificatedownload
Certificate chainshow step 62 of 346

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878115213 --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":1100000004878115213},"decimal":true,"detail":2}}'