View Single Post
Old 2009-03-20, 16:24   #1
philmoore
 
philmoore's Avatar
 
"Phil"
Sep 2002
Tracktown, U.S.A.

45F16 Posts
Default Aliquot sequence convergence question

Quote:
Originally Posted by R.D. Silverman View Post
Note: I make the same suggestion to those chasing aliquot sequences in the factoring forum. Unless they have a well-established goal, there are better uses for the CPU time.
The aliquot sequence chasers might be doing it for the sheer fun of it, as they get to combine a number of different factoring techniques in pursuit of the extension of sequences. There are a number of unresolved conjectures in this area (see Richard Guy's book, for example) and Guy and Selfridge have conjectured that "most" sufficiently large even numbers generate aliquot sequences that do not terminate. Perhaps the data generated by these people can help formulate a reasonable conjecture of what "most" means.
philmoore is offline   Reply With Quote