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Old 2004-12-01, 11:14   #1
wpolly
 
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Sep 2002
Vienna, Austria

3·73 Posts
Default Lucas-Carmichael number

http://www.users.globalnet.co.uk/~pe...carmichael.htm

In this page Jon Perry give a definition of a "Lucas-Carmichael number".
I think we can prove that a L-C number is a Lucas pseudoprime to all Lucas sequences (it needs to be coprime with 2pD, of course)(I think it can be done by analysis of the structure of the ring Z(n^2)/Z(n)).

In the last Jon gives us a conjecture which asks if a Lucas-Carmichael can also be an ordinary Carmichael. Is there any progress on this?
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