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 4 digits
★
Interesting number. 1093, the first Wieferich prime (1093^2 divides 2^1092-1), found by Meissner in 1913 by hand; with 3511 the only ones known - none other below 2^64 (PrimeGrid, 2022).

Value

1093
1093
‹ prev prime next prime ›
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Term #1 of the Inverse home prime · Base 5 sequence of 387 · 2 terms
Term #1 of the Inverse home prime · Base 10 sequence of 327 · 2 terms
Term #2 of the Home prime · Base 14 sequence of 346 · 3 terms
Term #1 of the Home prime · Base 20 sequence of 586 · 2 terms
Term #1 of the Home prime · Base 21 sequence of 422 · 2 terms
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of 1036 · 2 terms
Term #2 of the Conway climb · Base 14 sequence of 346 · 3 terms
Term #1 of the Conway climb · Base 20 sequence of 586 · 2 terms
Term #1 of the Conway climb · Base 21 sequence of 422 · 2 terms
Term #1 of the Distinct-prime home prime, descending · Base 10 sequence of 327 · 2 terms
Term #2 of the Second-class home prime · Base 3 sequence of 256 · 3 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '1093' --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":"1093"},"decimal":false,"detail":2}}'