P · Proven prime
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.
↪
Term #1 of the Home prime · Base 2 sequence of
7277
Term #1 of the Home prime · Base 4 sequence of
1778
Term #1 of the Home prime · Base 6 sequence of
7273
Term #1 of the Home prime · Base 8 sequence of
1470
Term #1 of the Inverse home prime · Base 2 sequence of
2565
Term #1 of the Inverse home prime · Base 4 sequence of
4239
Term #1 of the Inverse home prime · Base 7 sequence of
2001
Term #1 of the Inverse home prime · Base 8 sequence of
7693
Term #2 of the Inverse home prime · Base 10 sequence of
121
Term #1 of the Inverse home prime · Base 11 sequence of
1838
Term #1 of the Home prime · Base 12 sequence of
7355
Term #1 of the Home prime · Base 16 sequence of
1778
Term #1 of the Home prime · Base 14 sequence of
5637
Term #2 of the Home prime · Base 15 sequence of
5713
Term #1 of the Home prime · Base 18 sequence of
2077
Term #2 of the Home prime · Base 30 sequence of
1042
Term #1 of the Home prime · Base 36 sequence of
7273
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of
7170
Term #1 of the Inverse home prime · Base 24 sequence of
1547
Term #1 of the Conway climb · Base 2 sequence of
7277
Term #1 of the Conway climb · Base 4 sequence of
1778
Term #1 of the Conway climb · Base 6 sequence of
7273
Term #1 of the Conway climb · Base 8 sequence of
2298
Term #1 of the Conway climb · Base 12 sequence of
7355
Term #1 of the Conway climb · Base 14 sequence of
5637
Term #2 of the Conway climb · Base 15 sequence of
5713
Term #1 of the Conway climb · Base 16 sequence of
1778
Term #1 of the Conway climb · Base 18 sequence of
2077
Term #2 of the Conway climb · Base 30 sequence of
1042
Term #1 of the Conway climb · Base 36 sequence of
7273
Term #1 of the Distinct-prime home prime · Base 2 sequence of
7277
Term #1 of the Distinct-prime home prime · Base 8 sequence of
2298
Term #1 of the Distinct-prime home prime · Base 16 sequence of
1778
Term #1 of the Distinct-prime home prime, descending · Base 2 sequence of
4389
Term #1 of the Distinct-prime home prime, descending · Base 10 sequence of
1111
Term #2 of the Second-class home prime · Base 2 sequence of
2272
Term #1 of the Second-class home prime · Base 8 sequence of
2940
Term #1 of the Second-class home prime · Base 16 sequence of
3556
Term #3 of the Mid-divisor concatenation · Base 2 sequence of
4136
Term #2 of the Mid-divisor concatenation · Base 8 sequence of
1526
Term #2 of the Mid-divisor concatenation · Base 16 sequence of
1691
Is factor of
Primality
Verified directlyproven prime
Checked deterministically (below 300 digits).
From the command linefdb · curl
fdb
fdb number '10111' --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":"10111"},"decimal":false,"detail":2}}'