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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 #1100000008727412211 2,049 digits created 2026-04-05

Value

820079634816243328732170997143978536399046314265283102105123488899892014477337559860946325435552824658977021143418707923112119769343732668114468607760550519589148486406516811010713047860342508845037268680784053522054086479629327653291064107869890871953036428564356924071670994670289046196781310969995080376415403001327449248487733292070791968725326618631613684992032946805107908572364397660610950563719742699331282449129532187830357253015033043199401224029606783334284014238890427624921959005029385650040152172740503738291559624938402662786470194562605370611019093091635261861426413926125117368828431111282810026292594165434163936010184094963132893129096267010508605161949109244458607752740499445528793856280155988373207972476184817435832549804088603430553300782519179302920182513305836195404790886989798641147649074879211934088651638709615498629886729928201015856465384504635291135385359883641503002217384384628723101353669769227621065481114590640013125574266657240825864072845620652322453156845426432946334223555177033317415906416968334237254797769225543445980558871788296166466980183981730003669510675514338877646950662172911712468487727492663382428432717173830913445545018655690741531911296551762209393649182462715281856137199010883421049196468502014455727422972958331162999577160388812968546968293080985052517253819953728090876253327024116312299122477958957620986098396148179322298554265482845622237704589022916281961469447800504122199646265011603520629897874442335401698477099906649673812824504317929366367779556121270189527481822116519628512212995759342226414420863302098171084378934581888546295639723830210131865382999491503338590278299506323165433791992258307254470107534263124358583009917811820375557452913240690542805724685763469847427032866297486024555292459384991287482247221052634481722225971677360968839644362872493081959888315324116688512939971830663896307624387135532555826405087357406020545837844620957035291412583576143698057453343129940763364277437183347567701881512053591451166424118887686053759960991122927050202843177379171953
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 2,772-digit prime (298 intermediate primes).

Certified number2,772-digit prime
Certificatedownload
Certificate chainshow step 75 of 298

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008727412211 --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":1100000008727412211},"decimal":true,"detail":2}}'