Problems & Puzzles:
24.- Carmichael Numbers
A number C
is a 'Carmichael number' if and only if:
a) C is odd
b) C is a composite, having
more than two prime factors
c) C is square-free
(C = (product of)(pi^ai), ai
= 1 for all i)
d) C is such that (C-1)@(p-1)
= 0 for all its p.
Does exist a Carmichael Number that is the product of 3
or more consecutive primes?
- 101101 is the first Carmichael palindrome. Find 5 more of these
On feb. 2007 Anton Vrba pointed out that the second
Carmichael palindrome ( 127665878878566721, author? ) was published
So after 127665878878566721 we need only two more
terms to finish the homework.
WON 124 to
discover another sequence where 127665878878566721 is the 4th term.