## 25583Fw: (the trouble i am finding, solvers are using one equation instead of four...

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• Jul 20 9:21 AM
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--- On Sun, 7/20/14, amel dalluge <youngpoohter@...> wrote:

> From: amel dalluge <youngpoohter@...>
> Subject: (reply to) Re: [PrimeNumbers] Pairs of Odd Numbers and Prime Number Consequences
> To: "w_sindelar@..." <w_sindelar@...>
> Date: Sunday, July 20, 2014, 9:17 AM
>      the trouble
> i am finding that all prime numder solvers have is that any
> tangible solution has to be four seperate equations (not
> one).
>      the reason being that there is four
> seperate unique waves created that repeat at a growth of ten
> to each wave (see my post to the group and, note, it got
> messed up during the emailing [the waves aren't perfect]).
>      the trick is to determine the
> initial starting point of each wave, coordinate the next
> point which will be, starting at one, a growth of plus two
> (1,3,5,7,9,11,13...) times the value of the initial point of
> the wave, repeat for next point (one times the value of the
> initial point would be the start, and than, three times the
> value of the initial point would be the second point in the
> wave and, five times the value of the initial point would be
> the third point in the wave, so on and so forth).
>       also note, the waves' wave will also
> repeat at a growth of ten times the value of the initial
> point plus the value of the prior point.
>       as i said above,what i am finding is
> prime solvers are using one equation instead of four as
> required for a tangible solution as i above laid out above
> (just not in symbols but in layman's terms)[ that's the
> solution to all prime numbers, yes above].
> --------------------------------------------
> On Sun, 7/20/14, 'w_sindelar@...'
> w_sindelar@...
> wrote:
>
> Subject: [PrimeNumbers] Pairs of Odd Numbers and Prime
> Number Consequences
> Date: Sunday, July 20, 2014, 7:11 AM
>
>
>
> One, For all pairs of odd positive primes A<B with the
> same difference D and A>3, the number N of even
> integers
> between A and B that are divisible by a twin prime middle
> number remains the same, and equals D/3, if D mod 3 equals
> 0, or equals (D-1)/3, if D mod 3 equals 1, or equals
> (D+1)/3, if D mod 3 equals 2.
>
> I found statement one to be true for many (A, B) prime
> pairs.
>
> I also found the following generalized statement two to be
> true for many non-prime odd integers.
>
> Two, For all pairs of odd positive integers A<B, that
> satisfy these 4 requirements:
>
> a), Their greatest common divisor equals 1.
>
> b), They are not divisible by 3.
>
> c), They are not prime
>
> d), They have the same difference D.
>
> the number N of even integers between A and B that are
> divisible by a twin prime middle number remains the same,
> and equals D/3, if D mod 3 equals 0, or equals (D-1)/3, if
> D
> mod 3 equals 1, or equals (D+1)/3, if D mod 3 equals 2.
>
> Statement one example: Pick D=22. The first occurrence of
> a
> pair of primes with a difference D=22 is A=7 and B=29. The
> number N of even integers between A and B that are
> divisible
> by a twin prime middle number is N=7 by actual count.
> Since
> (D mod 3) equals 1, (D-1)/3=7 which agrees with the actual
> count N. Take the consecutive primes A=1129 and B=1151.
> D=22. Again N equals 7, and remains constant for all pairs
> of odd primes with the same difference D=22.
>
> Statement two example: Again pick D=22. The first
> occurrence
> of a pair of odd integers with a difference of 22 that
> satisfies the 4 requirements is A=133 and B=155. Again
> N==7.
> prompting the following statement three.
>
> For convenience, let’s call any pair of distinct odd
> primes a “P”, and any pair of distinct odd positive
> integers that satisfies the 4 requirements a “Z”.
>
> Three, if a P and a Z have the same difference D, then the
> number Np of even integers in P that are divisible by a
> twin
> prime middle number always equals the number Nz of even
> integers in Z that are divisible by a twin prime middle
> number.
>
> Is all of the above obvious and well known? Anyone care
> try
> these exercises and check me on this? Thanks folks.
>
> Bill Sindelar
>
>
>
>
>
> .
>
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