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
below threshold 5 digits
↪
Term #1 of the aliquot sequence of 89919 · 2 terms
Term #2 of the Home prime · Base 2 sequence of 10654 · 3 terms
Term #2 of the Home prime · Base 4 sequence of 17503 · 3 terms
Term #1 of the Home prime · Base 6 sequence of 18485 · 2 terms
Term #1 of the Home prime · Base 7 sequence of 17926 · 2 terms
Term #2 of the Home prime · Base 18 sequence of 1214 · 3 terms
Term #1 of the Home prime · Base 23 sequence of 8481 · 2 terms
Term #1 of the Home prime · Base 30 sequence of 13019 · 2 terms
Term #2 of the Home prime · Base 32 sequence of 17503 · 3 terms
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of 19920 · 2 terms
Term #1 of the Inverse home prime · Base 14 sequence of 9123 · 2 terms
Term #1 of the Inverse home prime · Base 18 sequence of 6419 · 2 terms
Term #2 of the Conway climb · Base 2 sequence of 10654 · 3 terms
Term #2 of the Conway climb · Base 4 sequence of 17503 · 3 terms
Term #1 of the Conway climb · Base 6 sequence of 18485 · 2 terms
Term #1 of the Conway climb · Base 7 sequence of 17926 · 2 terms
Term #2 of the Conway climb · Base 18 sequence of 1214 · 3 terms
Term #1 of the Conway climb · Base 23 sequence of 8481 · 2 terms
Term #1 of the Conway climb · Base 30 sequence of 13019 · 2 terms
Term #3 of the Conway climb · Base 32 sequence of 8959 · 4 terms
Term #2 of the Distinct-prime home prime · Base 2 sequence of 10654 · 3 terms
Term #3 of the Mid-divisor concatenation · Base 2 sequence of 13194 · 4 terms
Term #1 of the Mid-divisor concatenation · Base 10 sequence of 24234 · 2 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '42577' --detail 2
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":"42577"},"decimal":false,"detail":2}}'