Carmichal number 561
561 is the smallest Carmichael number![]()
in the ring of
integers
![]()
. However it is only a pseudoprime in the ring
of Gaussian integers
![]()
. We can use pari to find
the bases to which 561 is a pseudoprime. I
found it is pseudoprime to bases 12 + i, 22 +i,
33 + i and 44 + i. Needless to say it is a
pseudoprime to other bases too. More on this later.
| Title | Carmichal number 561 |
|---|---|
| Canonical name | CarmichalNumber561 |
| Date of creation | 2015-07-12 6:12:20 |
| Last modified on | 2015-07-12 6:12:20 |
| Owner | akdevaraj (13230) |
| Last modified by | akdevaraj (13230) |
| Numerical id | 1 |
| Author | akdevaraj (13230) |
| Entry type | Definition |