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. 13#-1 = 30029 is prime, while 13#+1 = 30031 = 59 * 509 is the first composite Euclid number.

Value

30029
↪
Term #1 of the aliquot sequence of 102595 · 2 terms
Term #1 of the Home prime · Base 3 sequence of 14573 · 2 terms
Term #1 of the Home prime · Base 6 sequence of 20103 · 2 terms
Term #1 of the Inverse home prime · Base 3 sequence of 20018 · 2 terms
Term #1 of the Home prime · Base 12 sequence of 11101 · 2 terms
Term #2 of the Home prime · Base 20 sequence of 4174 · 3 terms
Term #1 of the Home prime · Base 21 sequence of 615 · 2 terms
Term #1 of the Home prime · Base 24 sequence of 4762 · 2 terms
Term #1 of the Aliquot variants · Quasi · σ(n) − n − 1 sequence of 30018 · 2 terms
Term #1 of the Inverse home prime · Base 27 sequence of 1025 · 2 terms
Term #1 of the Inverse home prime · Base 34 sequence of 6181 · 2 terms
Term #1 of the Conway climb · Base 3 sequence of 14573 · 2 terms
Term #1 of the Conway climb · Base 6 sequence of 20103 · 2 terms
Term #1 of the Conway climb · Base 12 sequence of 11101 · 2 terms
Term #2 of the Conway climb · Base 20 sequence of 4174 · 3 terms
Term #1 of the Conway climb · Base 21 sequence of 615 · 2 terms
Term #1 of the Conway climb · Base 24 sequence of 240 · 2 terms
Term #1 of the Prime-stopping maps · σ(n) − 1 until a prime sequence of 13842 · 2 terms
Term #1 of the Distinct-prime home prime · Base 3 sequence of 14573 · 2 terms
Term #1 of the Distinct-prime home prime, descending · Base 3 sequence of 20018 · 2 terms
Term #2 of the Second-class home prime · Base 2 sequence of 22248 · 3 terms
Term #1 of the Second-class home prime · Base 3 sequence of 29146 · 2 terms
Term #2 of the Second-class home prime · Base 16 sequence of 23526 · 3 terms
Term #1 of the Mid-divisor concatenation · Base 3 sequence of 17220 · 2 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '30029' --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":"30029"},"decimal":false,"detail":2}}'