P · Proven prime
Enter a value, an expression, or a term with a variable like 10^n+1 to list a range.
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See the expression syntax & functions reference.
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Term #1 of the aliquot sequence of
135505
Term #1 of the Home prime · Base 2 sequence of
18529
Term #1 of the Home prime · Base 4 sequence of
18529
Term #1 of the Home prime · Base 8 sequence of
18529
Term #2 of the Home prime · Base 10 sequence of
287
Term #2 of the Inverse home prime · Base 2 sequence of
15393
Term #1 of the Inverse home prime · Base 4 sequence of
23487
Term #3 of the Inverse home prime · Base 10 sequence of
831
Term #1 of the Home prime · Base 16 sequence of
18529
Term #1 of the Home prime · Base 24 sequence of
7342
Term #1 of the Aliquot variants · Quasi · σ(n) − n − 1 sequence of
11880
Term #2 of the Inverse home prime · Base 12 sequence of
8557
Term #1 of the Inverse home prime · Base 22 sequence of
18499
Term #1 of the Conway climb · Base 2 sequence of
18529
Term #1 of the Conway climb · Base 4 sequence of
18529
Term #1 of the Conway climb · Base 8 sequence of
18529
Term #2 of the Conway climb · Base 10 sequence of
287
Term #1 of the Conway climb · Base 16 sequence of
18529
Term #1 of the Conway climb · Base 24 sequence of
7342
Term #1 of the Prime-stopping maps · σ(n) − 1 until a prime sequence of
12504
Term #1 of the Distinct-prime home prime · Base 2 sequence of
18529
Term #3 of the Distinct-prime home prime · Base 8 sequence of
13223
Term #2 of the Distinct-prime home prime · Base 10 sequence of
287
Term #1 of the Distinct-prime home prime · Base 16 sequence of
18529
Term #2 of the Distinct-prime home prime, descending · Base 2 sequence of
15393
Term #3 of the Distinct-prime home prime, descending · Base 10 sequence of
831
Term #3 of the Second-class home prime · Base 3 sequence of
17436
Term #2 of the Second-class home prime · Base 10 sequence of
48
Term #1 of the Mid-divisor concatenation · Base 2 sequence of
17970
Term #1 of the Mid-divisor concatenation · Base 3 sequence of
29442
Term #2 of the Mid-divisor concatenation · Base 8 sequence of
3492
Term #3 of the Mid-divisor concatenation · Base 10 sequence of
446
Term #2 of the Mid-divisor concatenation · Base 16 sequence of
6984
Is factor of
Primality
Verified directlyproven prime
Checked deterministically (below 300 digits).
From the command linefdb · curl
fdb
fdb number '31319' --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":"31319"},"decimal":false,"detail":2}}'