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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 #1100000009075278991 2,322 digits created 2026-08-11

Value

435001478506864543626796327810709245983543929066952451551676953316647687431865342937299954772728519998470912873550453912205565495342951938642670918754097257187754229494575584155824404267083791240110307852116469332500633919067962600661226989355048361768669189703139438575372023457511759488676655938653434913869745074343909080517578541257845836750648370681035953630193447497443900767718600798124043299611172230261029834168455962626927490584854745728773071928043452251216157351268150009465905252510066743951943578483172541654107154967181360369738436098092784887847710700960850616990062843532374179555939372799691030938939417735183713536874380169670133897491138780688469429645639182522598347571757623376461563012415350275897330573774840643660917228706319948501575312368592046229616661898474286886001354341205352005393072976419596691659542510418402329656790837957358647958400337999162604951306982202787409132706180107868668271140799703340657516734502606437368710759370804229345923999510992061745554501864679868928028767563317273550577179063016733918095545582030848993391358490273757762431694805733085921484600498928514919332613332950452293754450441503923548139972275219182602297129395039797372933449514672746368118555522124770878890928854730105826129246989673705328361792634282669088357035176550927153975488598573313242307846273084186845084034378818562414496965976279249900329282652457512139633196740339992207386929311471947739823609914309269885944621089536945802167811239110403842404793127839318638594661904805495981141837337211130491415437274509505427539528300508923009792731044893534265301521750362379739017756156181189861347135230624622412424861087089092196252237692694638019771283935446584445662250890614264795236463389077405762680944688200116684393738804891313680665795143317429990216239926960951981630362359565816195286543630347618618328390696290113795956630273982687789102817112349789362754372253283233201945163207574202013516219348423778666721239027152807182497193923612789869710689867214798207729462802202495029483041360168516346583976026284910555719404739151348955201212637354177106150314198831672650970802784242037495039322190751386290524656746152615429154429800993556307452091801053825544202139506516838117389174483950349140571425753831728595890249051919695138564469121002511116152480090831418739796635769144029467
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 2,656-digit prime (204 intermediate primes).

Certified number2,656-digit prime
Certificatedownload
Certificate chainshow step 28 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075278991 --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":1100000009075278991},"decimal":true,"detail":2}}'