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 3 digits
↪
Term #1 of the Home prime · Base 2 sequence of 156 · 2 terms
Term #4 of the Home prime · Base 3 sequence of 14 · 5 terms
Term #1 of the Home prime · Base 4 sequence of 156 · 2 terms
Term #1 of the Home prime · Base 6 sequence of 159 · 2 terms
Term #2 of the Inverse home prime · Base 2 sequence of 417 · 3 terms
Term #1 of the Inverse home prime · Base 3 sequence of 466 · 2 terms
Term #2 of the Inverse home prime · Base 4 sequence of 417 · 3 terms
Term #2 of the Inverse home prime · Base 6 sequence of 265 · 3 terms
Term #1 of the Home prime · Base 16 sequence of 286 · 2 terms
Term #1 of the Home prime · Base 14 sequence of 339 · 2 terms
Term #1 of the Home prime · Base 18 sequence of 68 · 2 terms
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of 644 · 2 terms
Term #1 of the Inverse home prime · Base 16 sequence of 559 · 2 terms
Term #1 of the Inverse home prime · Base 22 sequence of 589 · 2 terms
Term #1 of the Inverse home prime · Base 24 sequence of 145 · 2 terms
Term #1 of the Inverse home prime · Base 30 sequence of 253 · 2 terms
Term #1 of the Inverse home prime · Base 36 sequence of 323 · 2 terms
Term #1 of the Conway climb · Base 2 sequence of 156 · 2 terms
Term #2 of the Conway climb · Base 3 sequence of 160 · 3 terms
Term #1 of the Conway climb · Base 4 sequence of 156 · 2 terms
Term #1 of the Conway climb · Base 6 sequence of 159 · 2 terms
Term #1 of the Conway climb · Base 14 sequence of 339 · 2 terms
Term #1 of the Conway climb · Base 16 sequence of 286 · 2 terms
Term #1 of the Conway climb · Base 18 sequence of 68 · 2 terms
Term #2 of the Prime-stopping maps · σ(n) − 1 until a prime sequence of 289 · 3 terms
Term #1 of the Distinct-prime home prime · Base 2 sequence of 286 · 2 terms
Term #1 of the Distinct-prime home prime · Base 16 sequence of 286 · 2 terms
Term #2 of the Distinct-prime home prime, descending · Base 2 sequence of 417 · 3 terms
Term #1 of the Distinct-prime home prime, descending · Base 3 sequence of 466 · 2 terms
Term #1 of the Distinct-prime home prime, descending · Base 16 sequence of 559 · 2 terms
Term #1 of the Second-class home prime · Base 2 sequence of 312 · 2 terms
Term #1 of the Second-class home prime · Base 3 sequence of 424 · 2 terms
Term #2 of the Second-class home prime · Base 10 sequence of 412 · 3 terms
Term #1 of the Second-class home prime · Base 16 sequence of 572 · 2 terms
Term #2 of the Mid-divisor concatenation · Base 2 sequence of 388 · 3 terms
Term #4 of the Mid-divisor concatenation · Base 3 sequence of 75 · 5 terms
Term #1 of the Mid-divisor concatenation · Base 8 sequence of 610 · 2 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '701' --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":"701"},"decimal":false,"detail":2}}'