[QUOTE=AMDave;319105]However there is no discernible pattern for whether the mod6 'seed' is 1 above or 1 below.[/QUOTE]
Well, if you have nothing better to do, you can establish some pattern, not where the primes are, but where they are not. For example, taking in 6k-1 some k=1 (mod 5) you get 30k+5 which is always divisible by 5, therefore composite (ex: 35, 65, 95, 125, etc), and symmetrical, 30k-5 (which is 6k+1 with convenient renaming of k) (ex: 25, 55, 85, 115, 145, etc). You can repeat this for 7 (42k+/-7, ex: 35, 49, 77, 91, 119, 133), for 11 (66k+/-11, ex: 55, 77, 121, 143, 187), etc, and get a "pattern" with "where the primes are not", in the (+/-1 mod 6) distribution. They repeat after 6*5*7*11 lines :razz:

I will have to take your word for it. I am out-geeked on this subject :bow:
If there is an upper/lower pattern to the mod6-adjacent as you say, then that is interesting.
I have to then pose the next (and killer) question:
Is there then also a predictive pattern to the mod6-adjacent when including the mod-6-non-adjacents?
I don't see one there.
In fact I am now seeing spots and colours and need to withdraw from this thread. My own question is beyond me atm :cmd: