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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 #1100000005757750476 2,071 digits created 2024-01-18

Value

2209923237464333065372161770326685884395165067660424031784013623388676599181442224195247982261863285301092883082828391940618131696069683208125548681157184082226165314200720696212622084603174672351926151334599743431966626550804224657098299627281251566875154197369786646015051954986534052319765813025001782806797141101183852912373435589933353020112920203507221769680352023239570203545555395719115580193051939529268396368603727522995177430147401609209665725328606646372495109971154486646988765933331108122036301695282904067990017468114194569502431358048290428708768052928011018215938603610513841726930358961209838030566185436798386904110439204228653789345321619873597571389677858310714279434814012984328941161576677757468824292036353665139871471849296333453130301221212169109238341042501405637470409836572702483619092864331376990439189378882232443654029137516820047791695503009912531431818258375279591410293801890071595907515560742238268764736696262445130365406898142657040919956644727346091627196441307325651117126106003524422081752632027803342326172091485805968629302665267589848251002599236601500648545904975381734723787464424951974667184153930051813497147862346787598176489408124721448337736691650800996718443804164103212573498368362983993134196995430119037787282725013136402216983934437858483660744431311077540016786241644083345089874962270169888444967003242884850398645505540805499115237881982550260294362885413550243385028743785660748037471478562267900735150411643435077785106778843220528868288548630908461849245564122697197383819884281015820166566952594329073745166566751979965682195878443662709697667120362599488694733530523118275634132742457440765906327585161149691258002509339863427519867433039925652341288304663529851603459982870108570892429965903356999491647692381253216600946936434866007943026049974930938324845307800657869023999737513116842511128790470798313731364318203932562259354174931758005020957207578468468245758742408836891276185605231997672521884605748825715191449073925949841122963974162077451999805835474829282645174458530182903384098781495653233337
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 43 of the certificate chain of a 2,574-digit prime (197 intermediate primes).

Certified number2,574-digit prime
Certificatedownload
Certificate chainshow step 43 of 197

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005757750476 --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":1100000005757750476},"decimal":true,"detail":2}}'