factordbrpc · fdb
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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 #1100000000017317525 1,147 digits created before Nov 2018

Value

2099988235189008342922366300205090646196828616588679991141943132916732093552240077254203421016838031430903398577416766342297422974167076062805415184810227242039957971252643053994983572237452175455603277224933828185647073266797571091094221381537377792063675345468356493776292486261081030578354605427636814014006169292213485312411912781212108136964400380274268705124696233958761993332639886389972509923058559906820549484284146227943212093042288121118423465859379504153333015643459149031038809667167023698341326167972170981698010619845447953201160736541634465099761695797386477940864190280823193594595917771842299019742844295165846978825190252098254646615013148282650847548179384023545349981710897822058344257738740619107014878615447879271795506867538257346566725703771707195557665801120025122207544783165414516390570668077752261365833191181344074252033479378892521982874630699405851128828746727102558897874127950933026635911610608647557378058730346127595240795522846543693199115964696265533610512976182883292071618295496835896716864518801755068083203235237885904465055256283733551382687748932025818640433040321393546869174336842541972367065718128641
term (2^3824+1)/65537
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (1,147 digits).

Also proven by an N-1 test (Pocklington), base 19.

Certificatedownload
Certificate chainshow steps
Uploaded byAnonymous

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000000017317525 --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":1100000000017317525},"decimal":true,"detail":2}}'