Re: [PrimeNumbers] Union of 2 Sets of Primes in Arithmetical Progression
- Sorry for not making a single post after completing computations.
I have stopped now.
> The first (CP-10) has gaps 16 and 14 (sum 5#):The second (CP-10) is 16 times larger with gaps 28 and 2:
87873432313 + 0,28,30,58,60,88,90,118,120,148
A probably non-minimal (CP-11) with gaps 16 and 14:
196723765163557 + 0,16,30,46,60,76,90,106,120,136,150
And a probably non-minimal (CP-12) with gaps 14 and 16:
438536033046239 + 0,14,30,44,60,74,90,104,120,134,150,164
A (CP-13) must contain an AP6 inside an AP7. The common difference in an AP7
not starting at 7 is always a multiple of 7# = 210.
Inside the AP7 there has to be at least (210-2)*6 = 1248 simultaneous
That makes a (CP-13) computionally infeasible.
If the numbers are small then 1248 composites is too hard.
If the numbers are large then 13 primes is too hard.
Jens Kruse Andersen