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
↪
Term #1 of the Home prime · Base 2 sequence of 1210 · 2 terms
Term #1 of the Home prime · Base 4 sequence of 2215 · 2 terms
Term #1 of the Home prime · Base 7 sequence of 1522 · 2 terms
Term #1 of the Home prime · Base 10 sequence of 2815 · 2 terms
Term #2 of the Inverse home prime · Base 2 sequence of 2419 · 3 terms
Term #2 of the Inverse home prime · Base 4 sequence of 2419 · 3 terms
Term #1 of the Home prime · Base 12 sequence of 1137 · 2 terms
Term #1 of the Home prime · Base 22 sequence of 2629 · 2 terms
Term #2 of the Home prime · Base 32 sequence of 70 · 3 terms
Term #1 of the Aliquot variants · Augmented · σ(n) − n + 1 sequence of 3330 · 2 terms
Term #1 of the Aliquot variants · Quasi · σ(n) − n − 1 sequence of 5020 · 2 terms
Term #1 of the Inverse home prime · Base 12 sequence of 3241 · 2 terms
Term #1 of the Inverse home prime · Base 14 sequence of 1985 · 2 terms
Term #1 of the Inverse home prime · Base 16 sequence of 3817 · 2 terms
Term #1 of the Conway climb · Base 2 sequence of 1772 · 2 terms
Term #1 of the Conway climb · Base 4 sequence of 2215 · 2 terms
Term #1 of the Conway climb · Base 7 sequence of 1522 · 2 terms
Term #1 of the Conway climb · Base 10 sequence of 2815 · 2 terms
Term #1 of the Conway climb · Base 12 sequence of 1137 · 2 terms
Term #1 of the Conway climb · Base 22 sequence of 2629 · 2 terms
Term #1 of the Conway climb · Base 28 sequence of 931 · 2 terms
Term #3 of the Conway climb · Base 32 sequence of 64 · 4 terms
Term #3 of the Conway climb · Base 33 sequence of 341 · 4 terms
Term #1 of the Distinct-prime home prime · Base 10 sequence of 2815 · 2 terms
Term #2 of the Distinct-prime home prime, descending · Base 2 sequence of 2419 · 3 terms
Term #1 of the Distinct-prime home prime, descending · Base 16 sequence of 3817 · 2 terms
Term #1 of the Second-class home prime · Base 2 sequence of 2420 · 2 terms
Term #5 of the Second-class home prime · Base 16 sequence of 3208 · 6 terms
Term #1 of the Mid-divisor concatenation · Base 2 sequence of 4430 · 2 terms
Term #1 of the Mid-divisor concatenation · Base 8 sequence of 4430 · 2 terms
Term #2 of the Mid-divisor concatenation · Base 10 sequence of 2210 · 3 terms
Is factor of

Primality

Verified directlyproven prime

Checked deterministically (below 300 digits).

From the command linefdb · curl
fdb
fdb number '5563' --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":"5563"},"decimal":false,"detail":2}}'