Re: The Collatz discrete primes!

On Mar 20, 12:23�am, "Danny" <fasttrac...@xxxxxxxxxxxxx> wrote:
3x+1 revisited.

2,3,7,19,37,43,73,79,97,109,127,151,163,181,199,223,241,271
,277,307,313,331,349,367,379,397,421,439...

The above prime list are primes (p) that are not in any seed (n)
path where any given seed (n) is < (p).

e.g.
For prime 73 to make this list then ---

All seeds (n) where n= (1,2,3,4,.72) 73 does not
appear in any of these seed paths of (n) in the Collatz tree.

Also after the second term in the list they all are...
(p-1)==0(mod 3).

Will there ever be a prime in this list where (p-1) is
not a  0(mod 3)?

There are many primes (not) in this list where (p-1) is
not a 0(mod 3) and some that are a 0(mod 3) that are
not on this list.

Also, does this list ---->oo?

Dan

This seems to be true of odd numbers in general,
not just primes. Numbers that are not included
in the union of all pathways less than themselves,
include the composites:

25, 55, 115, 133, 145, 169, 187, 217, 235, 259, 289,
295, 343, 361, 385, 403, 451, 469, 475, etc.

all of which are 1(mod3).

.