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 #1000000000000000127 39 digits created before Nov 2018
★
Interesting number. Proved prime by Lucas in 1876 with his new test: the largest known prime for 75 years until 1951 and still the largest proved by hand; also the double Mersenne number MM7.

Value

170141183460469231731687303715884105727
term M(127)
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Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '2^127-1' --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":{"expr":"2^127-1"},"decimal":true,"detail":2}}'