- OK, the configuration of the table should work as i tried emailing it to myself and the table held it's formatting, so hopefully it should work here too. Sorry about that. Adapting the expression from Bones from Star Trek, "For God's sakes, I'm a lawyer, not a mathematician/computer guy". So please be patient. See table below.

Bill Krys

This communication is intended for the use of the recipient to which it is addressed, and may contain confidential, personal, and or privileged information. Please contact the sender immediately if you are not the intended recipient of this communication, and do not copy, distribute, or take action relying on it. Any communication received in error, or subsequent reply, should be deleted or destroyed.

--- On Fri, 10/17/08, Bill Krys <billkrys@...> wrote:

From: Bill Krys <billkrys@...>

Subject: Re: [PrimeNumbers] Loosey-Goosey Goldbach vs. Riemann - Revised

To: "Bill Krys" <billkrys@...>

Date: Friday, October 17, 2008, 4:37 PM

Rank

I

N

Low Prime

High Prime

f sl

4

1

3

5

2

5

2

3

7

3

6

5

5

7

4

7

4

3

11

5

8

3

5

11

6

9

8

1

17

7

10

7

3

17

8

11

6

5

17

9

12

11

1

23

10

13

10

3

23

11

14

9

5

23

12

15

14

1

29

13

16

15

1

31

14

17

12

5

29

15

18

13

5

31

16

19

18

1

37

17

20

17

3

37

18

21

16

5

37

19

22

19

3

41

20

23

20

3

43

21

24

23

1

47

22

25

22

3

47

23

26

21

5

47

24

27

26

1

53

25

28

25

3

53

26

29

24

5

53

27

30

29

1

59

28

31

30

1

61

29

32

27

5

59

30

33

28

5

61

31

34

33

1

67

32

35

32

3

67

33

36

31

5

67

34

37

36

1

73

35

38

35

3

73

36

39

34

5

73

37

40

39

1

79

38

41

38

3

79

39

42

37

5

79

40

43

40

3

83

41

44

45

-1

89

42

45

44

1

89

43

46

43

3

89

44

47

42

5

89

45

48

41

7

89

46

49

48

1

97

47

50

47

3

97

Bill Krys

This communication is intended for the use of the recipient to which it is addressed, and may contain confidential, personal, and or privileged information. Please contact the sender immediately if you are not the intended recipient of this communication, and do not copy, distribute, or take action relying on it. Any communication received in error, or subsequent reply, should be deleted or destroyed.

--- On Fri, 10/17/08, Bill Krys <billkrys@...> wrote:

From: Bill Krys <billkrys@...>

Subject: [PrimeNumbers] Loosey-Goosey Goldbach vs. Riemann - Revised

To: primenumbers@yahoogroups.com

Date: Friday, October 17, 2008, 3:52 PM

Rank

Centre #

N

Low Prime

High Prime

f sl

4

1

3

5

1

2

5

2

3

7

2

3

6

5

5

7

1,5

4

7

4

3

11

4,6

5

8

3

5

11

3,5

6

9

8

1

17

2,4,8

7

10

7

3

17

3,7,9

8

11

6

5

17

4,6,8

9

12

11

1

23

1,5,7,11

10

13

10

3

23

6,10

11

14

9

5

23

3,9

12

15

14

1

29

2,4,8,14

13

16

15

1

31

3,13,15

14

17

12

5

29

6,12,14

15

18

13

5

31

1,5,11,13

16

19

18

1

37

12,18

17

20

17

3

37

3,9,17

18

21

16

5

37

2,8,10,16,20

19

22

19

3

41

9,15,19,21

20

23

20

3

43

6,18,20

21

24

23

1

47

5,7,13,17,19, 23

22

25

22

3

47

6,12,18,22

23

26

21

5

47

3,15,21

24

27

26

1

53

4,10,14,16,20, 26

25

28

25

3

53

9,15,25

26

29

24

5

53

12,18,24

27

30

29

1

59

1,7,11,13,17, 19,23,29

28

31

30

1

61

12,28,30

29

32

27

5

59

9,15,21,27,29

30

33

28

5

61

4,10,14,20,26, 28,

31

34

33

1

67

3,27,33

32

35

32

3

67

6,12,18,24,32

33

36

31

5

67

5,7,17,23,25, 31,35

34

37

36

1

73

6,24,30,34,36

35

38

35

3

73

9,15,21,33,35

36

39

34

5

73

2,8,20,22,28, 32,34

37

40

39

1

79

3,21,27,33,39

38

41

38

3

79

12,18,30,38

39

42

37

5

79

31,37,39

40

43

40

3

83

30,36,40

41

44

45

-1

89

39,45

42

45

44

1

89

44

43

46

43

3

89

43

44

47

42

5

89

42

45

48

41

7

89

41

46

49

48

1

97

48

47

50

47

3

97

47

48

51

46

5

97

46

49

52

49

3

101

49

50

53

50

3

103

50

51

59

56

3

115

56

N, as I discovered as I go along adding to this, may be greater than I, for example, see I=44 and N must be 45, which makes the loosey-goosey prime pair -1 and 89. So must revise to say if want only 1 unique N (which is an integer), not just 1 or 3 or 5 plus a prime to make loosey-goosey prime pairs, but should be absolute values of -1 or 1 or 3 or 5 makes all even numbers. but N still holds for being unique to I.

Also, I may have erred in saying alternate around best fit line of slope 2, may be all above.

I'm a lawyer, not a mathematician.

See graph below:

Bill Krys

This communication is intended for the use of the recipient to which it is addressed, and may contain confidential, personal, and or privileged information. Please contact the sender immediately if you are not the intended recipient of this communication, and do not copy, distribute, or take action relying on it. Any communication received in error, or subsequent reply, should be deleted or destroyed.

--- On Fri, 10/17/08, Devaraj Kandadai <dkandadai@gmail. com> wrote:

From: Devaraj Kandadai <dkandadai@gmail. com>

Subject: Re: [PrimeNumbers] Loosey-Goosey Goldbach vs. Riemann

To: billkrys@yahoo. com

Date: Friday, October 17, 2008, 1:19 PM

I feel that in all such communications it is better to give one or two numerical examples; one numerical = a thousand words.

Devaraj

On Thu, Oct 16, 2008 at 8:56 PM, Bill Krys <billkrys@yahoo. com> wrote:

Is there any relation between a loosey-goosey (loosey-goosey because I'm saying that 1 is a prime number) Goldbach Conjecture in which each positive integer >4 (I) may be represented by the sum of the loosey goosey prime pair )(1 or 3 or 5) + (some prime number (P), such that the absolute difference (N) between I and (1 or 3 or 5) = the absolute difference (N) between I and P and each N is a unique integer, thus producing a best-fit line of slope = 2 when P is graphed against the rank of I (where the 1st I (4) has rank 1, the 2nd I (5) has rank 2, the 3rd I (6) has rank 3, and so on. The primes (P) then oscillate seemingly unpredictably but on average equally on either side of this line of slope 2.

So then does this slope of 2 have any relationship to the multiplicative inverse of the real part (1/2) of non-trivial zero solutions of the zeta function, in which they are hypothesized to occur equally on either side of the critical line?

Bill Krys

This communication is intended for the use of the recipient to which it is addressed, and may contain confidential, personal, and or privileged information. Please contact the sender immediately if you are not the intended recipient of this communication, and do not copy, distribute, or take action relying on it. Any communication received in error, or subsequent reply, should be deleted or destroyed.

[Non-text portions of this message have been removed]

[Non-text portions of this message have been removed] - Hi Bill,

Well, is this not further evidence that lawyers have a penchant for

making simple things overly complex? :) Nonetheless you are still in

good company because Pierre de Fermat was also a lawyer if I remember

correctly.

Anyways, the Loosey-Goosey Goldbach proposal first stalls at

I = 60

and

I = 61.

That is because there is a relatively huge prime gap between the prime

113 and the next prime 127.

For instance, if I = 60, there is no N that is 1,3,or 5 away from 60

which when added to 60 will yield a prime.

Mark

.

--- In primenumbers@yahoogroups.com, Bill Krys <billkrys@...> wrote:

>

> OK, the configuration of the table should work as i tried emailing

it to myself and the table held it's formatting, so hopefully it

should work here too. Sorry about that. Adapting the expression

from Bones from Star Trek, "For God's sakes, I'm a lawyer, not a

mathematician/computer guy". So please be patient. See table below.

>

> Bill Krys

>

> This communication is intended for the use of the recipient to which

it is addressed, and may contain confidential, personal, and or

privileged information. Please contact the sender immediately if you

are not the intended recipient of this communication, and do not copy,

distribute, or take action relying on it. Any communication received

in error, or subsequent reply, should be deleted or destroyed.

>

> --- On Fri, 10/17/08, Bill Krys <billkrys@...> wrote:

>

> From: Bill Krys <billkrys@...>

> Subject: Re: [PrimeNumbers] Loosey-Goosey Goldbach vs. Riemann - Revised

> To: "Bill Krys" <billkrys@...>

> Date: Friday, October 17, 2008, 4:37 PM

>

>

>

>

>

>

>

>

>

>

>

> Rank

>

> I

>

> N

>

> Low Prime

>

> High Prime

>

>

> f sl

>

> 4

>

> 1

>

> 3

>

> 5

>

>

> 2

>

> 5

>

> 2

>

> 3

>

> 7

>

>

> 3

>

> 6

>

> 5

>

> 5

>

> 7

>

>

> 4

>

> 7

>

> 4

>

> 3

>

> 11

>

>

> 5

>

> 8

>

> 3

>

> 5

>

> 11

>

>

> 6

>

> 9

>

> 8

>

> 1

>

> 17

>

>

> 7

>

> 10

>

> 7

>

> 3

>

> 17

>

>

> 8

>

> 11

>

> 6

>

> 5

>

> 17

>

>

> 9

>

> 12

>

> 11

>

> 1

>

> 23

>

>

> 10

>

> 13

>

> 10

>

> 3

>

> 23

>

>

> 11

>

> 14

>

> 9

>

> 5

>

> 23

>

>

> 12

>

> 15

>

> 14

>

> 1

>

> 29

>

>

> 13

>

> 16

>

> 15

>

> 1

>

> 31

>

>

> 14

>

> 17

>

> 12

>

> 5

>

> 29

>

>

> 15

>

> 18

>

> 13

>

> 5

>

> 31

>

>

> 16

>

> 19

>

> 18

>

> 1

>

> 37

>

>

> 17

>

> 20

>

> 17

>

> 3

>

> 37

>

>

> 18

>

> 21

>

> 16

>

> 5

>

> 37

>

>

> 19

>

> 22

>

> 19

>

> 3

>

> 41

>

>

> 20

>

> 23

>

> 20

>

> 3

>

> 43

>

>

> 21

>

> 24

>

> 23

>

> 1

>

> 47

>

>

> 22

>

> 25

>

> 22

>

> 3

>

> 47

>

>

> 23

>

> 26

>

> 21

>

> 5

>

> 47

>

>

> 24

>

> 27

>

> 26

>

> 1

>

> 53

>

>

> 25

>

> 28

>

> 25

>

> 3

>

> 53

>

>

> 26

>

> 29

>

> 24

>

> 5

>

> 53

>

>

> 27

>

> 30

>

> 29

>

> 1

>

> 59

>

>

> 28

>

> 31

>

> 30

>

> 1

>

> 61

>

>

> 29

>

> 32

>

> 27

>

> 5

>

> 59

>

>

> 30

>

> 33

>

> 28

>

> 5

>

> 61

>

>

> 31

>

> 34

>

> 33

>

> 1

>

> 67

>

>

> 32

>

> 35

>

> 32

>

> 3

>

> 67

>

>

> 33

>

> 36

>

> 31

>

> 5

>

> 67

>

>

> 34

>

> 37

>

> 36

>

> 1

>

> 73

>

>

> 35

>

> 38

>

> 35

>

> 3

>

> 73

>

>

> 36

>

> 39

>

> 34

>

> 5

>

> 73

>

>

> 37

>

> 40

>

> 39

>

> 1

>

> 79

>

>

> 38

>

> 41

>

> 38

>

> 3

>

> 79

>

>

> 39

>

> 42

>

> 37

>

> 5

>

> 79

>

>

> 40

>

> 43

>

> 40

>

> 3

>

> 83

>

>

> 41

>

> 44

>

> 45

>

> -1

>

> 89

>

>

> 42

>

> 45

>

> 44

>

> 1

>

> 89

>

>

> 43

>

> 46

>

> 43

>

> 3

>

> 89

>

>

> 44

>

> 47

>

> 42

>

> 5

>

> 89

>

>

> 45

>

> 48

>

> 41

>

> 7

>

> 89

>

>

> 46

>

> 49

>

> 48

>

> 1

>

> 97

>

>

> 47

>

> 50

>

> 47

>

> 3

>

> 97

>

> Bill Krys

>

> This communication is intended for the use of the recipient to which

it is addressed, and may contain confidential, personal, and or

privileged information. Please contact the sender immediately if you

are not the intended recipient of this communication, and do not copy,

distribute, or take action relying on it. Any communication received

in error, or subsequent reply, should be deleted or destroyed.

>

> --- On Fri, 10/17/08, Bill Krys <billkrys@...> wrote:

>

> From: Bill Krys <billkrys@...>

> Subject: [PrimeNumbers] Loosey-Goosey Goldbach vs. Riemann - Revised

> To: primenumbers@yahoogroups.com

> Date: Friday, October 17, 2008, 3:52 PM

>

>

>

>

>

>

>

>

> Rank

> Centre #

> N

> Low Prime

> High Prime

>

> f sl

> 4

> 1

> 3

> 5

> 1

>

> 2

> 5

> 2

> 3

> 7

> 2

>

> 3

> 6

> 5

> 5

> 7

> 1,5

>

> 4

> 7

> 4

> 3

> 11

> 4,6

>

> 5

> 8

> 3

> 5

> 11

> 3,5

>

> 6

> 9

> 8

> 1

> 17

> 2,4,8

>

> 7

> 10

> 7

> 3

> 17

> 3,7,9

>

> 8

> 11

> 6

> 5

> 17

> 4,6,8

>

> 9

> 12

> 11

> 1

> 23

> 1,5,7,11

>

> 10

> 13

> 10

> 3

> 23

> 6,10

>

> 11

> 14

> 9

> 5

> 23

> 3,9

>

> 12

> 15

> 14

> 1

> 29

> 2,4,8,14

>

> 13

> 16

> 15

> 1

> 31

> 3,13,15

>

> 14

> 17

> 12

> 5

> 29

> 6,12,14

>

> 15

> 18

> 13

> 5

> 31

> 1,5,11,13

>

> 16

> 19

> 18

> 1

> 37

> 12,18

>

> 17

> 20

> 17

> 3

> 37

> 3,9,17

>

> 18

> 21

> 16

> 5

> 37

> 2,8,10,16,20

>

> 19

> 22

> 19

> 3

> 41

> 9,15,19,21

>

> 20

> 23

> 20

> 3

> 43

> 6,18,20

>

> 21

> 24

> 23

> 1

> 47

> 5,7,13,17,19, 23

>

> 22

> 25

> 22

> 3

> 47

> 6,12,18,22

>

> 23

> 26

> 21

> 5

> 47

> 3,15,21

>

> 24

> 27

> 26

> 1

> 53

> 4,10,14,16,20, 26

>

> 25

> 28

> 25

> 3

> 53

> 9,15,25

>

> 26

> 29

> 24

> 5

> 53

> 12,18,24

>

> 27

> 30

> 29

> 1

> 59

> 1,7,11,13,17, 19,23,29

>

> 28

> 31

> 30

> 1

> 61

> 12,28,30

>

> 29

> 32

> 27

> 5

> 59

> 9,15,21,27,29

>

> 30

> 33

> 28

> 5

> 61

> 4,10,14,20,26, 28,

>

> 31

> 34

> 33

> 1

> 67

> 3,27,33

>

> 32

> 35

> 32

> 3

> 67

> 6,12,18,24,32

>

> 33

> 36

> 31

> 5

> 67

> 5,7,17,23,25, 31,35

>

> 34

> 37

> 36

> 1

> 73

> 6,24,30,34,36

>

> 35

> 38

> 35

> 3

> 73

> 9,15,21,33,35

>

> 36

> 39

> 34

> 5

> 73

> 2,8,20,22,28, 32,34

>

> 37

> 40

> 39

> 1

> 79

> 3,21,27,33,39

>

> 38

> 41

> 38

> 3

> 79

> 12,18,30,38

>

> 39

> 42

> 37

> 5

> 79

> 31,37,39

>

> 40

> 43

> 40

> 3

> 83

> 30,36,40

>

> 41

> 44

> 45

> -1

> 89

> 39,45

>

> 42

> 45

> 44

> 1

> 89

> 44

>

> 43

> 46

> 43

> 3

> 89

> 43

>

> 44

> 47

> 42

> 5

> 89

> 42

>

> 45

> 48

> 41

> 7

> 89

> 41

>

> 46

> 49

> 48

> 1

> 97

> 48

>

> 47

> 50

> 47

> 3

> 97

> 47

>

> 48

> 51

> 46

> 5

> 97

> 46

>

> 49

> 52

> 49

> 3

> 101

> 49

>

> 50

> 53

> 50

> 3

> 103

> 50

>

> 51

> 59

> 56

> 3

> 115

> 56

>

>

> N, as I discovered as I go along adding to this, may be greater than

I, for example, see I=44 and N must be 45, which makes the

loosey-goosey prime pair -1 and 89. So must revise to say if want only

1 unique N (which is an integer), not just 1 or 3 or 5 plus a prime to

make loosey-goosey prime pairs, but should be absolute values of -1

or 1 or 3 or 5 makes all even numbers. but N still holds for being

unique to I.

>

> Also, I may have erred in saying alternate around best fit line of

slope 2, may be all above.

>

> I'm a lawyer, not a mathematician.

>

> See graph below:

>

>

> Bill Krys

>

> This communication is intended for the use of the recipient to which

it is addressed, and may contain confidential, personal, and or

privileged information. Please contact the sender immediately if you

are not the intended recipient of this communication, and do not copy,

distribute, or take action relying on it. Any communication received

in error, or subsequent reply, should be deleted or destroyed.

>

> --- On Fri, 10/17/08, Devaraj Kandadai <dkandadai@gmail. com> wrote:

>

> From: Devaraj Kandadai <dkandadai@gmail. com>

> Subject: Re: [PrimeNumbers] Loosey-Goosey Goldbach vs. Riemann

> To: billkrys@yahoo. com

> Date: Friday, October 17, 2008, 1:19 PM

>

> I feel that in all such communications it is better to give one or

two numerical examples; one numerical = a thousand words.

> Devaraj

>

> On Thu, Oct 16, 2008 at 8:56 PM, Bill Krys <billkrys@yahoo. com> wrote:

>

> Is there any relation between a loosey-goosey (loosey-goosey because

I'm saying that 1 is a prime number) Goldbach Conjecture in which each

positive integer >4 (I) may be represented by the sum of the loosey

goosey prime pair )(1 or 3 or 5) + (some prime number (P), such that

the absolute difference (N) between I and (1 or 3 or 5) = the absolute

difference (N) between I and P and each N is a unique integer, thus

producing a best-fit line of slope = 2 when P is graphed against the

rank of I (where the 1st I (4) has rank 1, the 2nd I (5) has rank 2,

the 3rd I (6) has rank 3, and so on. The primes (P) then oscillate

seemingly unpredictably but on average equally on either side of this

line of slope 2.

>

> So then does this slope of 2 have any relationship to the

multiplicative inverse of the real part (1/2) of non-trivial zero

solutions of the zeta function, in which they are hypothesized to

occur equally on either side of the critical line?

>

> Bill Krys

>

> This communication is intended for the use of the recipient to which

it is addressed, and may contain confidential, personal, and or

privileged information. Please contact the sender immediately if you

are not the intended recipient of this communication, and do not copy,

distribute, or take action relying on it. Any communication received

in error, or subsequent reply, should be deleted or destroyed.

>

>

> [Non-text portions of this message have been removed]

>

>

>

>

>

>

>

>

>

>

>

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> [Non-text portions of this message have been removed]

> - --- In primenumbers@yahoogroups.com, "Mark Underwood"

<mark.underwood@...> wrote:>

Now I'm making it more complex than necessary, and I'm not even a

>

> Hi Bill,

>

> Well, is this not further evidence that lawyers have a penchant for

> making simple things overly complex? :) Nonetheless you are still in

> good company because Pierre de Fermat was also a lawyer if I remember

> correctly.

>

> Anyways, the Loosey-Goosey Goldbach proposal first stalls at

>

> I = 60

> and

> I = 61.

>

> That is because there is a relatively huge prime gap between the prime

> 113 and the next prime 127.

>

> For instance, if I = 60, there is no N that is 1,3,or 5 away from 60

> which when added to 60 will yield a prime.

>

>

> Mark

>

>

> .

>

lawyer. :)

Bill's proposal simply amounted to this: For every even integer there

is a prime that is 1,3 or 5 units away. This is a no go, but it

reminds me of an earlier proposal of mine: For every positive integer

n there is a prime or prime power just a square (no larger than n) away.

ie,

2 + 1^2 = 3

33 - 5^2 = 2^3.

Proof to follow.

(not!)

Mark