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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 #1100000009015272688 1,827 digits created 2026-07-29

Value

319739168594227862143076713169156216929545306536690149064198056045142627485529738638363476272753256432414554831525243692325879985072064621919739613191589202438975101955151749540175974317847696662678614497363963375470630957486078791639315657909004936656196652687758536785826618774329799192819758988450345889017140959919209447396243596116215179237045224952064683711221005430173701559712392216198647519185711952018511711591023370433155185694277499425862246447279742415885201519842623653449466911607940841258378818406075310171843878016072705037670175391493724721727293864255630973224545042283176129217816715847661864726045649050904124641437400558400986996890389814726808090591719086541537070490322016201472961091814118485479105035463451324882200564474396767174457518036816880024768132067229891090083311308860207879857981406384278921895998141886514091938658460543047166572368396783847006915425576888088095747345316563480580631446188551399386620226169414259391932913648316432329702138671232028389067232870707697071825873199038037089616053947157399017398037411345186889774400582670652309726562270616037648046068605136351012363295495252936485557054707803932419608228908174258788261955343975472709560588244777264441902518547793682814638074070670212336783990711881750845341502511348747549307781862970285213084979519642075993358425057718468209299578743148580834898889344216912540243610602633009290853356442100157856684752705435847227531131745081005934405635536809521494266690293365367095121809804374778115768599713462650117587839673860130260448667452956656487798822625226081793015181985005282967980258158813242647951663290740179813808512419112168480749693443106253164937258314310042864048624963047025895484985808264879335123419100135083568033170642514309989735197457234328922691759475276597774847072019467658846838668717733476872004797337
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 2,703-digit prime (190 intermediate primes).

Certified number2,703-digit prime
Certificatedownload
Certificate chainshow step 66 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009015272688 --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":1100000009015272688},"decimal":true,"detail":2}}'