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
★
Interesting number. 16843, the first Wolstenholme prime (C(2p-1,p-1) = 1 mod p^4), found in 1964; only one other is known and there is none up to 10^11.

Value

16843
‹ prev prime next prime ›
↪
Term #1 of the Inverse home prime · Base 5 sequence of 6057 · 2 terms
Term #1 of the Inverse home prime · Base 6 sequence of 14477 · 2 terms
Term #1 of the Inverse home prime · Base 8 sequence of 2893 · 2 terms
Term #1 of the Inverse home prime · Base 11 sequence of 556 · 2 terms
Term #1 of the Home prime · Base 18 sequence of 10358 · 2 terms
Term #1 of the Home prime · Base 20 sequence of 24 · 2 terms
Term #1 of the Home prime · Base 24 sequence of 4031 · 2 terms
Term #1 of the Aliquot variants · Quasi · σ(n) − n − 1 sequence of 12612 · 2 terms
Term #1 of the Inverse home prime · Base 23 sequence of 4123 · 2 terms
Term #1 of the Inverse home prime · Base 24 sequence of 13319 · 2 terms
Term #1 of the Inverse home prime · Base 36 sequence of 14477 · 2 terms
Term #1 of the Conway climb · Base 18 sequence of 10358 · 2 terms
Term #1 of the Conway climb · Base 20 sequence of 172 · 2 terms
Term #1 of the Conway climb · Base 24 sequence of 4031 · 2 terms
Term #1 of the Distinct-prime home prime, descending · Base 8 sequence of 2893 · 2 terms
Term #3 of the Second-class home prime · Base 8 sequence of 13508 · 4 terms
Term #2 of the Second-class home prime · Base 16 sequence of 16590 · 3 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '16843' --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":"16843"},"decimal":false,"detail":2}}'